Request for Comments: 6981
A Framework for IP and MPLS Fast Reroute Using Not-Via Addresses
This document presents an illustrative framework for providing fast reroute in an IP or MPLS network through encapsulation and forwarding to "not-via" addresses. The general approach described here uses a single level of encapsulation and could be used to protect unicast, multicast, and LDP traffic against link, router, and shared risk group failure, regardless of network topology and metrics.
The mechanisms presented in this document are purely illustrative of the general approach and do not constitute a protocol specification. The document represents a snapshot of the work of the Routing Area Working Group at the time of publication and is published as a document of record. Further work is needed before implementation or deployment.
Status of This Memo
This document is not an Internet Standards Track specification; it is published for informational purposes.
This document is a product of the Internet Engineering Task Force (IETF). It represents the consensus of the IETF community. It has received public review and has been approved for publication by the Internet Engineering Steering Group (IESG). Not all documents approved by the IESG are a candidate for any level of Internet Standard; see Section 2 of RFC 5741.
Information about the current status of this document, any errata, and how to provide feedback on it may be obtained at http://www.rfc-editor.org/info/rfc6981.
Copyright © 2013 IETF Trust and the persons identified as the document authors. All rights reserved.
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Table of Contents
1. Introduction ....................................................4 1.1. The Purpose of This Document ...............................4 1.2. Overview ...................................................4 2. Requirements Language ...........................................5 3. Overview of Not-Via Repairs .....................................5 3.1. Use of Equal-Cost Multi-Path ...............................6 3.2. Use of LFA Repairs .........................................6 4. Not-Via Repair Path Computation .................................7 4.1. Computing Not-Via Repairs in Distance and Path Vector Routing Protocols ...................................8 5. Operation of Repairs ............................................8 5.1. Node Failure ...............................................8 5.2. Link Failure ...............................................9 5.2.1. Loop Prevention under Node Failure ..................9 5.3. Multi-Homed Prefixes .......................................9 5.4. Installation of Repair Paths ..............................11 6. Compound Failures ..............................................12 6.1. Shared Risk Link Groups ...................................12 6.2. Local Area Networks .......................................17 6.2.1. Simple LAN Repair ..................................18 6.2.2. LAN Component Repair ...............................19 6.2.3. LAN Repair Using Diagnostics .......................19 6.3. Multiple Independent Failures .............................20 6.3.1. Looping Repairs ....................................20 6.3.2. Outline Solution ...................................21 6.3.3. Mutually Looping Repairs ...........................22 220.127.116.11. Dropping Looping Packets ..................23 18.104.22.168. Computing Non-looping Repairs of Repairs ..23 6.3.4. Mixing LFAs and Not-Via ............................25 7. Optimizing Not-Via Computations Using LFAs .....................26 8. Multicast ......................................................27 9. Fast Reroute in an MPLS LDP Network ............................27 10. Encapsulation .................................................28 11. Routing Extensions ............................................28 12. Incremental Deployment ........................................28 13. Manageability Considerations ..................................29 13.1. Pre-failure Configuration ................................29 13.2. Pre-failure Monitoring and Operational Support ...........29 13.3. Failure Action Monitoring ................................30 14. Security Considerations .......................................30 15. Acknowledgements ..............................................31 16. References ....................................................31 16.1. Normative References .....................................31 16.2. Informative References ...................................31 Appendix A. Q-Space ...............................................33
1.1. The Purpose of This Document
This document presents an illustrative framework for providing fast reroute around a failure in an IP or MPLS network based on the concept of tunneling or encapsulating packets via an IP address that is known to avoid the failure. The general approach described here uses a single level of encapsulation and could be used to protect unicast, multicast, and LDP traffic against link, router, and shared risk group failure, regardless of network topology and metrics.
At the time of publication, there is no demand to deploy this technology; however, in view of the subtleties involved in the design of routing protocol extensions to provide IP Fast Reroute (IPFRR) [RFC5714], the Routing Area Working Group considered it desirable to publish this document to place on record the design considerations of the not-via address approach.
The mechanisms presented in this document are purely illustrative of the general approach and do not constitute a protocol specification. The document represents a snapshot of the work of the working group at the time of publication and is published as a document of record. Additional work is needed to specify the necessary routing protocol extensions necessary to support this IPFRR method before implementation or deployment.
When a link or a router fails, only the neighbors of the failure are initially aware that the failure has occurred. In a network operating IPFRR [RFC5714], the routers that are the neighbors of the failure repair the failure. These repairing routers have to steer packets to their destinations despite the fact that most other routers in the network are unaware of the nature and location of the failure.
A common limitation in most IPFRR mechanisms is an inability to indicate the identity of the failure and explicitly steer the repaired packet around the failure. The extent to which this limitation affects the repair coverage is topology dependent. The mechanism proposed here is to encapsulate the packet to an address that explicitly identifies the network component that the repair must avoid. This produces a repair mechanism that, provided the network is not partitioned by the failure, will always achieve a repair.
2. Requirements Language
The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in RFC 2119 [RFC2119].
3. Overview of Not-Via Repairs
This section provides a brief overview of the not-via method of IPFRR. Consider the network fragment shown in Figure 1 below, in which S has a packet for some destination D that it would normally send via P and B, and that S suspects that P has failed.
A | Bp is the address to use to get | a packet to B not via P | S----------P----------B. . . . . . . . . .D \ | Bp^ \ | | \ | | \ C | \ | X-------Y-------Z Repair to Bp
Figure 1: Not-Via Repair of Router Failure
In the not-via IPFRR method, S encapsulates the packet to Bp, where Bp is an address on node B that has the property of not being reachable from node P, i.e., the notation Bp means "an address of node B that is only reachable not via node P". We later show how to install the path from S to Bp such that it is the shortest path from S to B not going via P. If the network contains a path from S to B that does not transit router P, i.e., the network is not partitioned by the failure of P and the path from S to Bp has been installed, then the packet will be successfully delivered to B. In the example in Figure 1, this is the path S-X-Y-Z-B. When the packet addressed to Bp arrives at B, B removes the encapsulation and forwards the repaired packet towards its final destination.
Note that if the path from B to the final destination includes one or more nodes that are included in the repair path, a packet may backtrack after the encapsulation is removed. However, because the decapsulating router is always closer to the packet destination than the encapsulating router, the packet will not loop.
For complete protection, all of P's neighbors will require a not-via address that allows traffic to be directed to them without traversing P. This is shown in Figure 2. Similarly, P will require a set of not-via addresses (one for each neighbor) allowing traffic to be directed to P without traversing each of those neighbors.
The not-via addresses are advertised in the routing protocol in a way that clearly identifies them as not-via addresses and not 'ordinary' addresses.
A |Ap | Sp Pa|Pb S----------P----------B Ps|Pc Bp | Cp| C
Figure 2: The Set of Not-Via P Addresses
3.1. Use of Equal-Cost Multi-Path
A router can use an Equal-Cost Multi-Path (ECMP) repair in place of a not-via repair.
A router computing a not-via repair path MAY subject the repair to ECMP.
3.2. Use of LFA Repairs
The not-via approach provides complete repair coverage and therefore may be used as the sole repair mechanism. There are, however, advantages in using not-via in combination with Loop-Free Alternates (LFAs) and/or downstream paths as documented in [RFC5286]. In particular, LFAs do not require the assignment and management of additional IP addresses to nodes, they do not require nodes in the network to be upgraded in order to calculate not-via repair paths, and they do not require the use of encapsulation.
LFAs are computed on a per-destination basis, and in general only a subset of the destinations requiring repair will have a suitable LFA repair. In this case, those destinations that are repairable by LFAs are so repaired, and the remainder of the destinations are repaired using the not-via encapsulation. On the other hand, the path taken by an LFA repair may be less optimal than that of the equivalent not-via repair for traffic destined to nodes close to the far end of the failure, but it may be more optimal for some other traffic. This document assumes that LFAs will be used where available, but the distribution of repairs between the two mechanisms is a local implementation choice.
4. Not-Via Repair Path Computation
The not-via repair mechanism requires that all routers on the path from S to B (Figure 1) have a route to Bp. They can calculate this by failing node P, running a Shortest Path First (SPF) algorithm, and finding the shortest route to B.
A router has no simple way of knowing whether it is on the shortest path for any particular repair. It is therefore necessary for every router to calculate the path it would use in the event of any possible router failure. Each router therefore "fails" every router in the network, one at a time, and calculates its own best route to each of the neighbors of that router. In other words, with reference to Figure 1, routers A, B, C, X, Y, Z, and P will consider each router in turn, assume that the router has failed, and then calculate its own route to each of the not-via addresses advertised by the neighbors of that router. In other words, in the case of a presumed failure of P, ALL routers (S, A, B, C, X, Y, and Z in this case) calculate their routes to Sp, Ap, Bp, and Cp -- in each case, not via P.
To calculate the repair paths, a router has to calculate n-1 SPFs where n is the number of routers in the network. This is expensive to compute. However, the problem is amenable to a solution in which each router (X) proceeds as follows. X first calculates the base topology with all routers functional and determines its normal path to all not-via addresses. This can be performed as part of the normal SPF computation. For each router P in the topology, X then performs the following actions:
- Removes router P from the topology.
- Performs an incremental SPF (iSPF) [ISPF] on the modified topology. The iSPF process involves detaching the sub-tree affected by the removal of router P and then reattaching the detached nodes. However, it is not necessary to run the iSPF to completion. It is sufficient to run the iSPF up to the point where all of the nodes advertising not-via P addresses have been reattached to the Shortest Path Tree (SPT), and then terminate it.
- Reverts to the base topology.
This algorithm is significantly less expensive than a set of full SPFs. Thus, although a router has to calculate the repair paths for n-1 failures, the computational effort is much less than n-1 SPFs.
Experiments on a selection of real-world network topologies with between 40 and 400 nodes suggest that the worst-case computational complexity using the above optimizations is equivalent to performing between 5 and 13 full SPFs. Further optimizations are described in Section 6.
4.1. Computing Not-Via Repairs in Distance and Path Vector Routing
While this document focuses on link-state routing protocols, it is equally possible to compute not-via repairs in distance vector (e.g., RIP) or path vector (e.g., BGP) routing protocols. This can be achieved with very little protocol modification by advertising the not-via address in the normal way but ensuring that the information about a not-via address Ps is not propagated through the node S. In the case of link protection, this simply means that the advertisement from P to S is suppressed, with the result that S and all other nodes compute a route to Ps that doesn't traverse S, as required.
In the case of node protection, where P is the protected node and N is some neighbor, the advertisement of Np needs to be suppressed not only across the link N-P but also across any link to P. The simplest way of achieving this is for P itself to perform the suppression of any address of the form Xp.
5. Operation of Repairs
This section explains the basic operation of the not-via repair of node and link failure.
5.1. Node Failure
When router P fails (Figure 2), S encapsulates any packet that it would send to B via P to Bp and then sends the encapsulated packet on the shortest path to Bp. S follows the same procedure for routers A and C in Figure 2. The packet is decapsulated at the repair target (A, B, or C) and then forwarded normally to its destination. The repair target can be determined as part of the normal SPF by recording the "next-next hop" for each destination in addition to the normal next hop. The next-next hop is the router that the next-hop router regards as its own next hop to the destination. In Figure 1, B is S's next-next hop to D.
Notice that with this technique only one level of encapsulation is needed, and that it is possible to repair ANY failure regardless of link metrics and any asymmetry that may be present in the network. The only exception to this is where the failure was a single point of failure that partitioned the network, in which case ANY repair is clearly impossible.
5.2. Link Failure
The normal mode of operation of the network would be to assume router failure. However, where some destinations are only reachable through the failed router, it is desirable that an attempt be made to repair to those destinations by assuming that only a link failure has occurred.
To perform a link repair, S encapsulates to Ps (i.e., it instructs the network to deliver the packet to P not via S). All of the neighbors of S will have calculated a path to Ps in case S itself had failed. S could therefore give the packet to any of its neighbors (except, of course, P). However, S SHOULD send the encapsulated packet on the shortest available path to P. This path is calculated by running an SPF with the link S-P removed. Note that this may again be an incremental calculation, which can terminate when address Ps has been reattached.
5.2.1. Loop Prevention under Node Failure
It is necessary to consider the behavior of IPFRR solutions when a link repair is attempted in the presence of node failure. In its simplest form, the not-via IPFRR solution prevents the formation of loops as a result of mutual repair, by never providing a repair path for a not-via address. The repair of packets with not-via addresses is considered in more detail in Section 6.3. Referring to Figure 2, if A was the neighbor of P that was on the link repair path from S to P, and P itself had failed, the repaired packet from S would arrive at A encapsulated to Ps. A would have detected that the A-P link had failed and would normally attempt to repair the packet. However, no repair path is provided for any not-via address, and so A would be forced to drop the packet, thus preventing the formation of a loop.
5.3. Multi-Homed Prefixes
A Multi-Homed Prefix (MHP) is a prefix that is reachable via more than one router in the network. Some of these may be repairable using LFAs as described in [RFC5286]. Only those without such a repair need be considered here.
When IPFRR router S (Figure 3) discovers that P has failed, it needs to send packets addressed to the MHP X, which is normally reachable through P, to an alternate router that is still able to reach X.
X X X | | | | | | | Sp |Pb | Z...............S----------P----------B...............Y Ps|Pc Bp | Cp| C
Figure 3: Multi-Homed Prefixes
S SHOULD choose the closest router that can reach X during the failure as the alternate router. S determines which router to use as the alternate while running the SPF with P removed. This is accomplished by the normal process of reattaching a leaf node to the core topology (this is sometimes known as a "partial SPF").
First, consider the case where the shortest alternate path to X is via Z. S can reach Z without using the removed router P. However, S cannot just send the packet towards Z, because the other routers in the network will not be aware of the failure of P and may loop the packet back to S. S therefore encapsulates the packet to Z (using a normal address for Z). When Z receives the encapsulated packet, it removes the encapsulation and forwards the packet to X.
Now consider the case where the shortest alternate path to X is via Y, which S reaches via P and B. To reach Y, S must first repair the packet to B using the normal not-via repair mechanism. To do this, S encapsulates the packet for X to Bp. When B receives the packet, it removes the encapsulation and discovers that the packet is intended for MHP X. The situation now reverts to the previous case, in which the shortest alternate path does not require traversal of the failure. B therefore follows the algorithm above and encapsulates the packet to Y (using a normal address for Y). Y removes the encapsulation and forwards the packet to X.
It may be that the cost of reaching X using local delivery from the alternate router (i.e., Z or Y) is greater than the cost of reaching X via P. Under those circumstances, the alternate router would normally forward to X via P, which would cause the IPFRR repair to loop. To prevent the repair from looping, the alternate router MUST locally deliver a packet received via a repair encapsulation. This may be specified by using a special address with the above semantics.
Note that only one such address is required per node. Notice that using the not-via approach, only one level of encapsulation was needed to repair MHPs to the alternate router.
5.4. Installation of Repair Paths
The following algorithm is used by node S (Figure 3) to pre-calculate and install repair paths in the Forwarding Information Base (FIB), ready for immediate use in the event of a failure. It is assumed that the not-via repair paths have already been calculated as described above.
For each neighbor P, consider all destinations that are reachable via P in the current topology:
- For all destinations with an ECMP or LFA repair (as described in [RFC5286]), install that repair.
- For each destination (DR) that remains, identify in the current topology the next-next hop (H) (i.e., the neighbor of P that P will use to send the packet to DR). This can be determined during the normal SPF run by recording the additional information. If S has a path to the not-via address Hp (H not via P), install a not-via repair to Hp for the destination DR.
- Identify all remaining destinations (M) that can still be reached when node P fails. These will be multi-homed prefixes that are not repairable by LFA, and for which the normal attachment node is P (or a router for which P is a single point of failure), and that have an alternative attachment point that is reachable after P has failed. One way of determining these destinations would be to run an SPF rooted at S with node P removed, but an implementation may record alternative attachment points during the normal SPF run. In either case, the next-best point of attachment can also be determined for use in step (4) below.
- For each multi-homed prefix (M) identified in step (3):
A. Identify the new attachment node (as shown in Figure 3).
This may be:
o Y, where the next hop towards Y is P, or
o Z, where the next hop towards Z is not P.
If the attachment node is Z, install the repair for M as a tunnel to Z' (where Z' is the address of Z that is used to force local forwarding).
B. For the subset of prefixes (M) that remain (having attachment
point Y), install the repair path previously installed for destination Y.
For each destination (DS) that remains, install a not-via repair to Ps (P not via S). Note that these are destinations for which node P is a single point of failure, and they can only be repaired by assuming that the apparent failure of node P was simply a failure of the S-P link. Note that, if available, a downstream path to P MAY be used for such a repair. This cannot generate a persistent loop in the event of the failure of node P, but if one neighbor of P uses a not-via repair and another uses a downstream path, it is possible for a packet sent on the downstream path to be returned to the sending node inside a not-via encapsulation. Since packets destined to not-via addresses are not repaired, the packet will be dropped after executing a single turn of the loop.
Note that where multiple next-next hops are available to reach DR, any or several of them may be chosen from a routing correctness point of view. Unless other factors require consideration, the closest next-next hop to the repairing router would be the normal choice.
6. Compound Failures
The following types of failures involve more than one component:
- Shared Risk Link Groups
- Local Area Networks
- Multiple Independent Failures
The considerations that apply in each of the above situations are described in the following sections.
6.1. Shared Risk Link Groups
A Shared Risk Link Group (SRLG) is a set of links whose failure can be caused by a single action such as a conduit cut or line card failure. When repairing the failure of a link that is a member of an SRLG, it MUST be assumed that all the other links that are also members of the SRLG have also failed. Consequently, any repair path needs to be computed to avoid not only the adjacent link but also all the links that are members of the same SRLG.
In Figure 4 below, the links S-P and A-B are both members of SRLG "a". The semantics of the not-via address Ps changes from simply "P not via the link S-P" to be "P not via the link S-P or any other link with which S-P shares an SRLG". In Figure 4, these are the links that are members of SRLG "a", i.e., links S-P and A-B. Since the information about SRLG membership of all links is available in the link-state database, all nodes computing routes to the not-via address Ps can infer these semantics and perform the computation by failing all the links in the SRLG when running the iSPF.
Note that it is not necessary for S to consider repairs to any other nodes attached to members of the SRLG (such as B). It is sufficient for S to repair to the other end of the adjacent link (P in this case).
a Ps S----------P---------D | | | a | A----------B | | | | C----------E
Figure 4: Shared Risk Link Group
In some cases, it may be that the links comprising the SRLG occur in series on the path from S to the destination D, as shown in Figure 5. In this case, multiple consecutive repairs may be necessary. S will first repair to Ps, then P will repair to Dp. In both cases, because the links concerned are members of SRLG "a", the paths are computed to avoid all members of SRLG "a".
a Ps a Dp S----------P---------D | | | | a | | A----------B | | | | | | | C----------E---------F
Figure 5: Shared Risk Link Group Members in Series -
Decapsulation and Re-encapsulation by One Node
While the use of multiple repairs in series introduces some additional overhead, these semantics avoid the potential combinatorial explosion of not-via addresses that could otherwise occur.
Note that although multiple repairs are used, only a single level of encapsulation is required. This is because the first repair packet is decapsulated before the packet is re-encapsulated using the not-via address corresponding to the far side of the next link that is a member of the same SRLG. In some cases, the decapsulation and re-encapsulation take place (at least notionally) at a single node, while in other cases, these functions may be performed by different nodes. This scenario is illustrated in Figure 6 below.
a Ps a Dg S----------P---------G--------D | | | | | a | | | A----------B | | | | | | | | | | C----------E---------F--------H
Figure 6: Shared Risk Link Group Members in Series -
Decapsulation and Re-encapsulation by Different Nodes
In this case, S first encapsulates to Ps, and node P decapsulates the packet and forwards it "native" to G using its normal FIB entry for destination D. G then repairs the packet to Dg.
It can be shown that such multiple repairs can never form a loop, because each repair causes the packet to move closer to its destination.
It is often the case that a single link may be a member of multiple SRLGs, and those SRLGs may not be isomorphic. This is illustrated in Figure 7 below.
ab Ps a Dg S----------P---------G--------D | | | | | a | | | A----------B | | | | | | | b | | b | C----------E---------F--------H | | | | J----------K
Figure 7: Multiple Shared Risk Link Groups
The link S-P is a member of SRLGs "a" and "b". When a failure of the link S-P is detected, it MUST be assumed that BOTH SRLGs have failed. Therefore, the not-via path to Ps needs to be computed by failing all links that are members of SRLG "a" or SRLG "b", i.e., the semantics of Ps is now "P not via any links that are members of any of the SRLGs of which link S-P is a member". This is illustrated in Figure 8 below.
ab Ps a Dg S----/-----P---------G---/----D | | | | | a | | | A----/-----B | | | | | | | b | | b | C----/-----E---------F---/----H | | | | J----------K
Figure 8: Topology Used for Repair Computation for Link S-P
In this case, the repair path to Ps will be S-A-C-J-K-E-B-P. It may appear that there is no path to D because G-D is a member of SRLG "a" and F-H is a member of SRLG "b". This is true if BOTH SRLGs "a" and "b" have in fact failed, which would be an instance of multiple independent failures. In practice, it is likely that there is only a single failure, i.e., either SRLG "a" or SRLG "b" has failed but not both. These two possibilities are indistinguishable from the point of view of the repairing router S, and so it needs to repair on the assumption that both are unavailable. However, each link repair is considered independently. The repair to Ps delivers the packet to P, which then forwards the packet to G. When the packet arrives at G, if SRLG "a" has failed, it will be repaired around the path G-F-H-D. This is illustrated in Figure 9 below. If, on the other hand, SRLG "b" has failed, link G-D will still be available. In this case, the packet will be delivered as normal across the link G-D.
ab Ps a Dg S----/-----P---------G---/----D | | | | | a | | | A----/-----B | | | | | | | b | | b | C----------E---------F--------H | | | | J----------K
Figure 9: Topology Used for Repair Computation for Link G-D
If both SRLG "a" and SRLG "b" had failed, the packet would be repaired as far as P by S and would be forwarded by P to G. G would encapsulate the packet to D using the not-via address Dg and forward it to F. F would recognize that its next hop to Dg (H) was unreachable due to the failure of link F-H (part of SRLG "b") and would drop the packet, because packets addressed to a not-via address are not repaired in basic not-via IPFRR.
The repair of multiple independent failures is not provided by the basic not-via IPFRR method described so far in this memo.
A repair strategy that assumes the worst-case failure for each link can often result in longer repair paths than necessary. In cases where only a single link fails rather than the full SRLG, this strategy may occasionally fail to identify a repair even though a viable repair path exists in the network. The use of suboptimal repair paths is an inevitable consequence of this compromise approach. The failure to identify any repair is a serious deficiency but is a rare occurrence in a robustly designed network. This problem can be addressed by:
- Reporting that the link in question is irreparable, so that the network designer can take appropriate action.
- Modifying the design of the network to avoid this possibility.
- Using some form of SRLG diagnostic (for example, by running Bidirectional Forwarding Detection (BFD) [RFC5880] over alternate repair paths) to determine which SRLG member(s) have actually failed and using this information to select an appropriate pre-computed repair path. However, aside from the complexity of performing the diagnostics, this requires multiple not-via addresses per interface, which has poor scaling properties.
- Using the mechanism described in Section 6.3.
6.2. Local Area Networks
LANs are a special type of SRLG and are solved using the SRLG mechanisms outlined above. With all SRLGs, there is a trade-off between the sophistication of the fault detection and the size of the SRLG. Protecting against link failure of the LAN link(s) is relatively straightforward, but as with all fast-reroute mechanisms, the problem becomes more complex when it is desired to protect against the possibility of failure of the nodes attached to the LAN, as well as the LAN itself.
+--------------Q------C | | | A--------S-------(N)-------------P------B | | | +--------------R------D
Figure 10: Local Area Networks
Consider the LAN shown in Figure 10. For connectivity purposes, we consider that the LAN is represented by the pseudonode (N). To provide IPFRR protection, S needs to run a connectivity check to each of its protected LAN adjacencies P, Q, and R, using, for example, BFD [RFC5880].
When S discovers that it has lost connectivity to P, it is unsure whether the failure is:
- its own interface to the LAN
- the LAN itself
- the LAN interface of P
- the node P
6.2.1. Simple LAN Repair
A simple approach to LAN repair is to consider the LAN and all of its connected routers as a single SRLG. Thus, the address P not via the LAN (Pl) would require P to be reached not via any router connected to the LAN. This is shown in Figure 11.
Ql Cl +-------------Q--------C | Qc | As Sl | Pl Bl A--------S-------(N)------------P--------B Sa | Pb | | Rl Dl +-------------R--------D Rd
Figure 11: Local Area Networks - LAN SRLG
In this case, if S detected that P had failed, it would send traffic reached via P and B to B not via the LAN or any router attached to the LAN (i.e., to Bl). Any destination only reachable through P would be addressed to P not via the LAN or any router attached to the LAN (except, of course, P).
While this approach is simple, it assumes that a large portion of the network adjacent to the failure has also failed. This will result in the use of suboptimal repair paths and, in some cases, the inability to identify a viable repair.
6.2.2. LAN Component Repair
In this approach, possible failures are considered at a finer granularity but without the use of diagnostics to identify the specific component that has failed. Because S is unable to diagnose the failure, it needs to repair traffic sent through P and B, to an address Bpn (B not-via P,N, i.e., B not via P and not via N), on the conservative assumption that both the entire LAN and P have failed. Destinations for which P is a single point of failure MUST, as usual, be sent to P using an address that avoids the interface by which P is reached from S, i.e., to P not via N. A similar process would also apply for routers Q and R.
Notice that each router that is connected to a LAN MUST, as usual, advertise one not-via address for each neighbor. In addition, each router on the LAN MUST advertise an extra address not via the pseudonode (P).
Notice also that each neighbor of a router connected to a LAN needs to advertise two not-via addresses: the usual one not via the neighbor, and an additional one not via either the neighbor or the pseudonode. The required set of LAN address assignments is shown in Figure 12 below. Each router on the LAN, and each of its neighbors, are advertising exactly one address more than they would otherwise have advertised if this degree of connectivity had been achieved using point-to-point links.
Qs Qp Qc Cqn +--------------Q---------C | Qr Qn Cq | Asn Sa Sp Sq | Ps Pq Pb Bpn A--------S-------(N)-------------P---------B As Sr Sn | Pr Pn Bp | | Rs Rp Pd Drn +--------------R---------D Rq Rn Dr
Figure 12: Local Area Networks - Component Repair
6.2.3. LAN Repair Using Diagnostics
A more specific LAN repair can be undertaken by using diagnostics. In order to explicitly diagnose the failed network component, S correlates the connectivity reports from P and one or more of the other routers on the LAN, in this case Q and R. If it lost connectivity to P alone, it could deduce that the LAN was still functioning and that the fault lay with either P or the interface connecting P to the LAN. It would then repair to B not-via P (and P not-via N for destinations for which P is a single point of failure) in the usual way. If S lost connectivity to more than one router on the LAN, it could conclude that the fault lay only with the LAN and could repair to P, Q, and R not-via N, again in the usual way.
6.3. Multiple Independent Failures
IPFRR repair of multiple simultaneous failures that are not members of a known SRLG is complicated by the problem that the use of multiple concurrent repairs may result in looping repair paths. As described in Section 5.2.1, the simplest method of preventing such loops is to ensure that packets addressed to a not-via address are not repaired but instead are dropped. It is possible that a network may experience multiple simultaneous failures. This may be due to simple statistical effects, but the more likely cause is unanticipated SRLGs. When multiple failures that are not part of an anticipated group are detected, repairs are abandoned, and the network reverts to normal convergence. Although safe, this approach is somewhat draconian, since there are many circumstances where multiple repairs do not induce loops.
This section describes the properties of multiple unrelated failures and proposes some methods that may be used to address this problem.
6.3.1. Looping Repairs
Let us assume that the repair mechanism is based solely on not-via repairs. LFA or downstream routes MAY be incorporated and will be dealt with later.
A------//------B------------D / \ / \ F G \ / \ / X------//------Y
Figure 13: The General Case of Multiple Failures
The essential case is as illustrated in Figure 13. Note that, depending on the repair case under consideration, there may be other paths present in Figure 13, in addition to those shown in the figure. For example, there may be paths between A and B, and/or between X and Y. These paths are omitted for graphical clarity.
There are three cases to consider:
- Consider the general case of a pair of protected links A-B and X-Y, as shown in the network fragment shown in Figure 13. If the repair path for A-B does not traverse X-Y and the repair path for X-Y does not traverse A-B, this case is completely safe and will not cause looping or packet loss.
A more common variation of this case is shown in Figure 14, which shows two failures in different parts of the network in which a packet from A to D traverses two concatenated repairs.
A------//------B------------X------//------Y------D | | | | | | | | M--------------+ N--------------+
Figure 14: Concatenated Repairs
- In Figure 13, the repair for A-B traverses X-Y, but the repair for X-Y does not traverse A-B. This case occurs when the not-via path from A to B traverses link X-Y but the not-via path from X to Y traverses some path not shown in Figure 13. Without the multi-failure mechanism described in this section, the repaired packet for A-B would be dropped when it reached X-Y, since the repair of repaired packets would be forbidden. However, if this packet were allowed to be repaired, the path to D would be complete and no harm would be done, although two levels of encapsulation would be required.
- The repair for A-B traverses X-Y AND the repair for X-Y traverses A-B. In this case, unrestricted repair would result in looping packets and increasing levels of encapsulation.
The challenge in applying IPFRR to a network that is undergoing multiple failures is, therefore, to identify which of these cases exist in the network and react accordingly.
6.3.2. Outline Solution
When A is computing the not-via repair path for A-B (i.e., the path for packets addressed to Ba, read as "B not via A"), it is aware of the list of nodes that this path traverses. This can be recorded by a simple addition to the SPF process, and the not-via addresses associated with each forward link can be determined. If the path were A, F, X, Y, G, B, (Figure 13), the list of not-via addresses would be Fa, Xf, Yx, Gy, Bg. Under standard not-via operation, A would populate its FIB such that all normal addresses normally reachable via A-B would be encapsulated to Ba when A-B fails, but traffic addressed to any not-via address arriving at A would be dropped. The new procedure modifies this such that any traffic for a not-via address normally reachable over A-B is also encapsulated to Ba, unless the not-via address is one of those previously identified as being on the path to Ba -- for example, Yx, in which case the packet is dropped.
The above procedure allows cases 1 and 2 above to be repaired while preventing the loop that would result from case 3.
Note that this is accomplished by pre-computing the required FIB entries and does not require any detailed packet inspection. The same result could be achieved by checking for multiple levels of encapsulation and dropping any attempt to triple encapsulate. However, this would require more detailed inspection of the packet and causes difficulties when more than 2 "simultaneous" failures are contemplated.
So far, we have permitted benign repairs to coexist, albeit sometimes requiring multiple encapsulation. Note that in many cases there will be no performance impact, since unless both failures are on the same node the two encapsulations or two decapsulations will be performed at different nodes. There is, however, the issue of the maximum transmission unit (MTU) impact of multiple encapsulations.
In the following sub-section we consider the various strategies that may be applied to case 3 -- mutual repairs that would loop.
6.3.3. Mutually Looping Repairs
In case 3, the simplest approach is to simply not install repairs for repair paths that might loop. In this case, although the potentially looping traffic is dropped, the traffic is not repaired. If we assume that a hold-down is applied before reconvergence in case the link failure was just a short glitch, and if a loop-free convergence mechanism further delays convergence, then the traffic will be dropped for an extended period. In these circumstances, it would be better to apply the "Abandoning All Hope" (AAH) mechanism ([RFC6976], Appendix A) and immediately invoke normal reconvergence.
Note that it is not sufficient to expedite the issuance of a Link State Packet (LSP) reporting the failure, since this may be treated as a permitted simultaneous failure by the ordered FIB (oFIB) algorithm [RFC6976]. It is therefore necessary to explicitly trigger an oFIB AAH.
22.214.171.124. Dropping Looping Packets
One approach to case 3 is to allow the repair, and to experimentally discover the incompatibility of the repairs if and when they occur. With this method, we permit the repair in case 3 and trigger AAH when a packet drop count on the not-via address has been incremented. Alternatively, it is possible to wait until the LSP describing the change is issued normally (i.e., when X announces the failure of X-Y). When the repairing node A, which has precomputed that X-Y failures are mutually incompatible with its own repairs, receives this LSP, it can then issue the AAH. This has the disadvantage that it does not overcome the hold-down delay, but it requires no "data-driven" operation, and it still has the required effect of abandoning the oFIB, which is probably the longer of the delays (although with signaled oFIB this should be sub-second).
While both of the experimental approaches described above are feasible, they tend to induce AAH in the presence of otherwise feasible repairs, and they are contrary to the philosophy of repair predetermination that has been applied to existing IPFRR solutions.
126.96.36.199. Computing Non-looping Repairs of Repairs
An alternative approach to simply dropping the looping packets, or to detecting the loop after it has occurred, is to use secondary SRLGs. With a link-state routing protocol, it is possible to pre-compute the incompatibility of the repairs in advance and to compute an alternative SRLG repair path. Although this does considerably increase the computational complexity, it may be possible to compute repair paths that avoid the need to simply drop the offending packets.
This approach requires us to identify the mutually incompatible failures and advertise them as "secondary SRLGs". When computing the repair paths for the affected not-via addresses, these links are simultaneously removed. Note that the assumed simultaneous failure and resulting repair path only apply to the repair path computed for the conflicting not-via addresses and are not used for normal addresses. This implies that although there will be a longer repair path when there is more than one failure, if there is a single failure the repair path length will be "normal".
Ideally, we would wish to only invoke secondary SRLG computation when we are sure that the repair paths are mutually incompatible. Consider the case of node A in Figure 13. Node A first identifies that the repair path for A-B is via F-X-Y-G-B. It then explores this path, determining the repair path for each link in the path. Thus, for example, it performs a check at X by running an SPF rooted at X with the X-Y link removed to determine whether A-B is indeed on X's repair path for packets addressed to Yx.
Some optimizations are possible in this calculation, which appears at first sight to be order hk (where h is the average hop length of repair paths and k is the average number of neighbors of a router). When A is computing its set of repair paths, it does so for all its k neighbors. In each case, it identifies a list of node pairs traversed by each repair. These lists may often have one or more node pairs in common, so the actual number of link failures that require investigation is the union of these sets. It is then necessary to run an SPF rooted at the first node of each pair (the first node, because the pairings are ordered representing the direction of the path), with the link to the second node removed. This SPF, while not an incremental, can be terminated as soon as the not-via address is reached. For example, when running the SPF rooted at X, with the link X-Y removed, the SPF can be terminated when Yx is reached. Once the path has been found, the path is checked to determine if it traverses any of A's links in the direction away from A. Note that because the node pair X-Y may exist in the list for more than one of A's links (i.e., it lies on more than one repair path), it is necessary to identify the correct list, and hence link, that has a mutually looping repair path. That link of A is then advertised by A as a secondary SRLG paired with the link X-Y. Also note that X will be running this algorithm as well, and will identify that X-Y is paired with A-B and so advertise it. This could perhaps be used as a further check.
The ordering of the pairs in the lists is important, i.e., X-Y and Y-X are dealt with separately. If and only if the repairs are mutually incompatible, we need to advertise the pair of links as a secondary SRLG, and then ALL nodes compute repair paths around both failures using an additional not-via address with the semantics not-via A-B AND not-via X-Y.
A further possibility is that because we are going to the trouble of advertising these SRLG sets, we could also advertise the new repair path and only get the nodes on that path to perform the necessary computation. Note also that once we have reached Q-space (Appendix A) with respect to the two failures, we need no longer continue the computation, so we only need to notify the nodes on the path that are not in Q-space.
One cause of mutually looping repair paths is the existence of nodes with only two links, or sections of the network that are only bi-connected. In these cases, repair is clearly impossible -- the failure of both links partitions the network. It would be advantageous to be able to identify these cases and inhibit the fruitless advertisement of the secondary SRLG information. This could be achieved by the node detecting the requirement for a secondary SRLG, first running the not-via computation with both links removed. If this does not result in a path, it is clear that the network would be partitioned by such a failure, and so no advertisement is required.
6.3.4. Mixing LFAs and Not-Via
So far in this section, we have assumed that all repairs use not-via tunnels. However, in practice we may wish to use LFAs or downstream routes where available. This complicates the issue, because their use results in packets that are being repaired but NOT addressed to not-via addresses. If BOTH links are using downstream routes, there is no possibility of looping, since it is impossible to have a pair of nodes that are both downstream of each other [RFC5286].
Loops can, however, occur when LFAs are used. An obvious example is the well-known node repair problem with LFAs [RFC5286]. If one link is using a downstream route while the other is using a not-via tunnel, the potential mechanism described above would work, provided it were possible to determine the nodes on the path of the downstream route. Some methods of computing downstream routes do not provide this path information. However, if the path information is available, the link using a downstream route will have a discard FIB entry for the not-via address of the other link. The consequence is that potentially looping packets will be discarded when they attempt to cross this link.
In the case where the mutual repairs are both using not-via repairs, the loop will be broken when the packet arrives at the second failure. However, packets are unconditionally repaired by means of a downstream routes, and thus when the mutual pair consists of a downstream route and a not-via repair, the looping packet will only be dropped when it gets back to the first failure, i.e., it will execute a single turn of the loop before being dropped.
There is a further complication with downstream routes, since although the path may be computed to the far side of the failure, the packet may "peel off" to its destination before reaching the far side of the failure. In this case, it may traverse some other link that has failed and was not accounted for on the computed path. If the A-B repair (Figure 13) is a downstream route and the X-Y repair is a not-via repair, we can have the situation where the X-Y repair packets encapsulated to Yx follow a path that attempts to traverse A-B. If the A-B repair path for "normal" addresses is a downstream route, it cannot be assumed that the repair path for packets addressed to Yx can be sent to the same neighbor. This is because the validity of a downstream route MUST be ascertained in the topology represented by Yx, i.e., that with the link X-Y removed. This is not the same topology that was used for the normal downstream calculation, and use of the normal downstream route for the encapsulated packets may result in an undetected loop. If it is computationally feasible to check the downstream route in this topology (i.e., for any not-via address Qp that traverses A-B, we must perform the downstream calculation for that not-via address in the topology with link Q-P removed), then the downstream repair for Yx can safely be used. These packets cannot revisit X-Y, since by definition they will avoid that link. Alternatively, the packet could be always repaired in a not-via tunnel, i.e., even though the normal repair for traffic traversing A-B would be to use a downstream route, we could insist that such traffic addressed to a not-via address must use a tunnel to Ba. Such a tunnel would only be installed for an address Qp if it were established that it did not traverse Q-P (using the rules described above).
7. Optimizing Not-Via Computations Using LFAs
If repairing node S has an LFA to the repair endpoint, it is not necessary for any router to perform the incremental SPF with the link S-P removed in order to compute the route to the not-via address Ps. This is because the correct routes will already have been computed as a result of the SPF on the base topology. Node S can signal this condition to all other routers by including a bit in its LSP or Link State Advertisement (LSA) associated with each link protected by an LFA. Routers computing not-via routes can then omit the running of the iSPF for links with this bit set.
When running the iSPF for a particular link A-B, the calculating router first checks whether the link A-B is present in the existing SPT. If the link is not present in the SPT, no further work is required. This check is a normal part of the iSPF computation.
If the link is present in the SPT, this optimization introduces a further check to determine whether the link is marked as protected by an LFA in the direction in which the link appears in the SPT. If so, the iSPF need not be performed. For example, if the link appears in the SPT in the direction A->B and A has indicated that the link A-B is protected by an LFA, no further action is required for this link.
If the receipt of this information is delayed, the correct operation of the protocol is not compromised, provided that the necessity to perform a not-via computation is re-evaluated whenever new information arrives.
This optimization is not particularly beneficial to nodes close to the repair, since (as has been observed above) the computation for nodes on the LFA path is trivial. However, for nodes upstream of the link S-P for which S-P is in the path to P, there is a significant reduction in the computation required.
Multicast traffic can be repaired in a way similar to unicast. The multicast forwarder is able to use the not-via address to which the multicast packet was addressed as an indication of the expected receive interface and hence to correctly run the required Reverse Path Forwarding (RPF) check.
In some cases, all the destinations, including the repair endpoint, are repairable by an LFA. In this case, all unicast traffic may be repaired without encapsulation. Multicast traffic still requires encapsulation, but for the nodes on the LFA repair path, the computation of the not-via forwarding entry is unnecessary: by definition, their normal path to the repair endpoint is not via the failure.
A more complete description of multicast operation is left for further study.
9. Fast Reroute in an MPLS LDP Network
Not-via addresses are IP addresses, and LDP [RFC5036] will distribute labels for them in the usual way. The not-via repair mechanism may therefore be used to provide fast reroute in an MPLS network by first pushing the label that the repair endpoint uses to forward the packet and then pushing the label corresponding to the not-via address needed to effect the repair. Referring once again to Figure 1, if S has a packet destined for D that it must reach via P and B, S first pushes B's label for D. S then pushes the label that its next hop to Bp needs to reach Bp.
Note that in an MPLS LDP network, it is necessary for S to have the repair endpoint's label for the destination. When S is effecting a link repair, it already has this. In the case of a node repair, S either needs to set up a directed LDP session with each of its neighbor's neighbors or it needs to use a method similar to the next-next-hop label distribution mechanism proposed in [NNHL].
Any IETF-specified IP-in-IP encapsulation may be used to carry a not-via repair. IP in IP [RFC2003], Generic Routing Encapsulation (GRE) [RFC1701], and the Layer 2 Tunneling Protocol (L2TPv3) [RFC3931] all have the necessary and sufficient properties. The requirement is that both the encapsulating router and the router to which the encapsulated packet is addressed have a common ability to process the chosen encapsulation type. When an MPLS LDP network is being protected, the encapsulation would normally be an additional MPLS label. In an MPLS-enabled IP network, an MPLS label may be used in place of an IP-in-IP encapsulation in the case above.
Care needs to be taken to ensure that the encapsulation used to provide a repair tunnel does not result in the packet exceeding the MTU of the links traversed by that repair.
11. Routing Extensions
IPFRR requires routing protocol extensions. Each IPFRR router that is directly connected to a protected network component must advertise a not-via address for that component. This must be advertised in such a way that the association between the protected component (link, router, or SRLG) and the not-via address can be determined by the other routers in the network.
It is necessary that routers capable of supporting not-via routes advertise in the IGP that they will calculate not-via routes.
It is necessary for routers to advertise the type of encapsulation that they support (MPLS, GRE, L2TPv3, etc.). However, the deployment of mixed IP encapsulation types within a network is discouraged.
If the optimization proposed in Section 7 is to be used, then the use of the LFA in place of the not-via repair MUST also be signaled in the routing protocol.
12. Incremental Deployment
Incremental deployment is supported by excluding routers that are not calculating not-via routes (as indicated by their capability information flooded with their link-state information) from the base topology used for the computation of repair paths. In that way, repairs may be steered around islands of routers that are not IPFRR capable. Routers that are protecting a network component need to have the capability to encapsulate and decapsulate packets. However, routers that are on the repair path only need to be capable of calculating not-via paths and including the not-via addresses in their FIB, i.e., these routers do not need any changes to their forwarding mechanism.
13. Manageability Considerations
[RFC5714] outlines the general set of manageability considerations that apply to the general case of IPFRR. We slightly expand this and add details that are not-via specific. There are three classes of manageability considerations:
- Pre-failure configuration
- Pre-failure monitoring and operational support
- Failure action monitoring
13.1. Pre-failure Configuration
Pre-failure configuration for not-via includes:
- Enabling/disabling not-via IPFRR support.
- Enabling/disabling protection on a per-link or per-node basis.
- Expressing preferences regarding the links/nodes used for repair paths.
- Configuration of failure detection mechanisms.
- Setting a preference concerning the use of LFAs.
- Configuring a not-via address (per interface) or not-via address set (per node).
- Configuring any SRLG rules or preferences.
Any standard configuration method may be used. The selection of the method to be used is outside the scope of this document.
13.2. Pre-failure Monitoring and Operational Support
Pre-failure monitoring and operational support for not-via include:
- Notification of links/nodes/destinations that cannot be protected.
- Notification of pre-computed repair paths.
- Notification of repair type to be used (LFA or not-via).
- Notification of not-via address assignment.
- Notification of path or address optimizations used.
- Testing repair paths. Note that not-via addresses look identical to "ordinary" addresses as far as tools such as traceroute and ping are concerned, and thus it is anticipated that these will be used to verify the established repair path.
Any standard IETF method may be used for the above. The selection of the method to be used is outside the scope of this document.
13.3. Failure Action Monitoring
Failure action monitoring for not-via includes:
- Counts of failure detections, protection invocations, and packets forwarded over repair paths.
- Logging of the events, using a sufficiently accurate and precise timestamp.
- Validation that the packet loss was within specification, using a suitable loss verification tool.
- Capture of the in-flight repair packet flows, using a tool such as IP Flow Information Export (IPFIX) [RFC5101].
Note that monitoring the repair in action requires the capture of the signatures of a short, possibly sub-second network transient; this technique is not a well-developed IETF technology.
14. Security Considerations
The repair endpoints present vulnerability in that they might be used as a method of disguising the delivery of a packet to a point in the network [RFC6169]. The primary method of protection SHOULD be through the use of a private address space for the not-via addresses [RFC1918] [RFC4193]. Repair endpoint addresses MUST NOT be advertised outside the routing domain over which not-via is deployed and MUST be filtered at the network entry points. In addition, a mechanism might be developed that allows the use of the mild security available through the use of a key [RFC1701] [RFC3931]. With the deployment of such mechanisms, the repair endpoints would not increase the security risk beyond that of existing IP tunnel mechanisms. An attacker may attempt to overload a router by addressing an excessive traffic load to the decapsulation endpoint. Typically, routers take a 50% performance penalty in decapsulating a packet. The attacker could not be certain that the router would be impacted, and the extremely high volume of traffic needed would easily be detected as an anomaly. If an attacker were able to influence the availability of a link, they could cause the network to invoke the not-via repair mechanism. A network protected by not-via IPFRR is less vulnerable to such an attack than a network that undertook a full convergence in response to a link up/down event.
The authors would like to acknowledge contributions made by Alia Atlas and John Harper.
16.1. Normative References
16.2. Informative References
[ISPF] McQuillan, J., Richer, I., and E. Rosen, "ARPANET Routing Algorithm Improvements", BBN Technical Report 3803, 1978. [NNHL] Shen, N., Chen, E., and A. Tian, "Discovering LDP Next- Nexthop Labels", Work in Progress, May 2005. [REMOTE-LFA] Bryant, S., Filsfils, C., Previdi, S., Shand, M., and N. So, "Remote LFA FRR", Work in Progress, May 2013. [RFC1701] Hanks, S., Li, T., Farinacci, D., and P. Traina, "Generic Routing Encapsulation (GRE)", RFC 1701, October 1994. [RFC1918] Rekhter, Y., Moskowitz, R., Karrenberg, D., Groot, G., and E. Lear, "Address Allocation for Private Internets", BCP 5, RFC 1918, February 1996. [RFC2003] Perkins, C., "IP Encapsulation within IP", RFC 2003, October 1996. [RFC3931] Lau, J., Townsley, M., and I. Goyret, "Layer Two Tunneling Protocol - Version 3 (L2TPv3)", RFC 3931, March 2005. [RFC4193] Hinden, R. and B. Haberman, "Unique Local IPv6 Unicast Addresses", RFC 4193, October 2005. [RFC5036] Andersson, L., Minei, I., and B. Thomas, "LDP Specification", RFC 5036, October 2007. [RFC5101] Claise, B., "Specification of the IP Flow Information Export (IPFIX) Protocol for the Exchange of IP Traffic Flow Information", RFC 5101, January 2008. [RFC5286] Atlas, A. and A. Zinin, "Basic Specification for IP Fast Reroute: Loop-Free Alternates", RFC 5286, September 2008. [RFC5714] Shand, M. and S. Bryant, "IP Fast Reroute Framework", RFC 5714, January 2010. [RFC5880] Katz, D. and D. Ward, "Bidirectional Forwarding Detection (BFD)", RFC 5880, June 2010. [RFC6169] Krishnan, S., Thaler, D., and J. Hoagland, "Security Concerns with IP Tunneling", RFC 6169, April 2011. [RFC6976] Shand, M., Bryant, S., Previdi, S., Filsfils, C., Francois, P., and O. Bonaventure, "Framework for Loop- Free Convergence Using the Ordered Forwarding Information Base (oFIB) Approach", RFC 6976, July 2013.
Appendix A. Q-Space
Q-space is the set of routers from which a specific router can be reached without any path (including equal-cost path splits) transiting the protected link (or node). It is described fully in [REMOTE-LFA].
S---Eq / \ A Dq \ / B---Cq
Figure 15: The Q Space of E with Respect to the Link S-E
Consider a repair of link S-E (Figure 15). The set of routers from which the node E can be reached, by normal forwarding, without traversing the link S-E is termed the Q-space of E with respect to the link S-E. The Q-space can be obtained by computing a reverse Shortest Path Tree (rSPT) rooted at E, with the sub-tree that traverses the failed link excised (including those that are members of an ECMP). The rSPT uses the cost towards the root rather than from it and yields the best paths towards the root from other nodes in the network. In the case of Figure 15, the Q-space comprises nodes E, D, and C only.
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