1994
DOI: 10.1109/49.265708
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Comparison of k-shortest paths and maximum flow routing for network facility restoration

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Cited by 168 publications
(70 citation statements)
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“…In this paper, we use the term, k-shortest disjoint paths, as a short hand for a better term, k-successive shortest edge-disjoint paths between a node pair, which has been used quite widely in the networking literature, especially for network failure recovery (e.g., [18]). The latter term is defined algorithmically by repeating the following steps: find the shortest path, remove the edges on the shortest path from the network, and then find the next shortest path on the remaining network.…”
Section: K-shortest Disjoint Pathsmentioning
confidence: 99%
“…In this paper, we use the term, k-shortest disjoint paths, as a short hand for a better term, k-successive shortest edge-disjoint paths between a node pair, which has been used quite widely in the networking literature, especially for network failure recovery (e.g., [18]). The latter term is defined algorithmically by repeating the following steps: find the shortest path, remove the edges on the shortest path from the network, and then find the next shortest path on the remaining network.…”
Section: K-shortest Disjoint Pathsmentioning
confidence: 99%
“…Using another fourth path, e.g., 1-9-5-4-8-10 enlarges the different E3-DODP sets from four to eight. The reader might be surprised to know that the pair (1)(2)(3)(4)(5)(6)(7)(8)(9)(10), in the network (ignoring fiber duct considerations), is associated with a total of 62 E3-DODP sets compared to 132 E2-DODP sets. The network model, based on OD Cycles, uses different E2-DODP and E3-DODP sets and only a fraction of the total sets is considered for network optimization.…”
Section: Failure-independent (Fi) Od Cyclesmentioning
confidence: 99%
“…If fibers 5-6 and 4-6 traverse a common conduit or duct (indicated by a bidirectional arrow) that cycle is not eligible for OD pair (6-8) as it does not meet SRLG route-diversity considerations. Despite this, the cycle is still eligible for other OD pairs with survivable traffic, such as OD pair (4)(5)(6)(7)(8), composed of the 2-disjoint paths 4-8 and 4-6-5-8.…”
Section: Expending Od Cycles To Multi-network Failuresmentioning
confidence: 99%
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“…A "trap" is a topology where a corresponding set of backup routes are not available due to the disjointness constraint although disjoint working and backup routes may be available if selected differently. [3] Before this investigation, it was assumed that the ST approach would be least cost since it is well-known that the Steiner Tree solution is least cost. However, we found that the cost of a disjoint backup ST is 150% greater than the cost of a working ST (when a disjoint backup is available) and thus the total cost of combined workingldisjoint backup STs can be greater than the workinghackup rings.…”
Section: Feasibility and Costmentioning
confidence: 99%