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» On Bounded Leg Shortest Paths Problems
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NETWORKS
2008
13 years 4 months ago
New dynamic programming algorithms for the resource constrained elementary shortest path problem
The resource-constrained elementary shortest path problem arises as a pricing subproblem in branch-and-price algorithms for vehicle routing problems with additional constraints. W...
Giovanni Righini, Matteo Salani
COCOON
1999
Springer
13 years 9 months ago
On Routing in Circulant Graphs
We investigate various problems related to circulant graphs – finding the shortest path between two vertices, finding the shortest loop, and computing the diameter. These probl...
Jin-yi Cai, George Havas, Bernard Mans, Ajay Nerur...
SODA
2007
ACM
131views Algorithms» more  SODA 2007»
13 years 6 months ago
On the K-simple shortest paths problem in weighted directed graphs
We obtain the first approximation algorithm for finding the k-simple shortest paths connecting a pair of vertices in a weighted directed graph. Our algorithm is deterministic an...
Liam Roditty
ESA
2006
Springer
139views Algorithms» more  ESA 2006»
13 years 8 months ago
Stochastic Shortest Paths Via Quasi-convex Maximization
Abstract. We consider the problem of finding shortest paths in a graph with independent randomly distributed edge lengths. Our goal is to maximize the probability that the path len...
Evdokia Nikolova, Jonathan A. Kelner, Matthew Bran...
CDC
2009
IEEE
151views Control Systems» more  CDC 2009»
13 years 9 months ago
Shortest path optimization under limited information
— The problem of finding an optimal path in an uncertain graph arises in numerous applications, including network routing, path-planning for vehicles, and the control of finite...
Michael Rinehart, Munther A. Dahleh