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Shortest‐path network interdiction
Networks, 2002AbstractWe study the problem of interdicting the arcs in a network in order to maximize the shortest s–t path length. “Interdiction” is an attack on an arc that destroys the arc or increases its effective length; there is a limited interdiction budget.
Eitan Israeli, R. Kevin Wood
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Shortest paths in euclidean graphs
Algorithmica, 1986We analyze a simple method for finding shortest paths in Euclidean graphs (where vertices are points in a Euclidean space and edge weights are Euclidean distances between points). For many graph models, the average running time of the algorithm to find the shortest path between a specified pair of vertices in a graph with V vertices and E edges is ...
Robert Sedgewick, Jeffrey Scott Vitter
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Shortest Paths with Shortest Detours
Journal of Optimization Theory and Applications, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carolin Torchiani +3 more
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Computing shortest paths with uncertainty
Journal of Algorithms, 2003We consider the problem of estimating the length of the shortest path from a vertex s to a vertex t in a DAG whose edge lengths are known only approximately but can be determined exactly at a cost. Initially, for each edge e, the length of e is known only to lie within an interval [l"e,h"e]; the estimation algorithm can pay w"e to find the exact length
Tomás Feder +4 more
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Information Processing Letters, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Proceedings of the ACM annual conference on - ACM'72, 1972
In finding shortest paths, the operation of finding, successively, a minimum from a list of numbers may require more work than the remainder of the algorithm. It is shown how algorithms from sorting literature can be used to accomplish this part of the shortest path algorithm.
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In finding shortest paths, the operation of finding, successively, a minimum from a list of numbers may require more work than the remainder of the algorithm. It is shown how algorithms from sorting literature can be used to accomplish this part of the shortest path algorithm.
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Stochastic shortest paths with recourse
Networks, 1988AbstractThis paper considers Stochastic Shortest Path (SSP) problems in probabilistic networks. A variety of approaches have already been proposed in the literature. However, unlike in the deterministic case, they are related to distinct models, interpretations and applications.
ANDREATTA, GIOVANNI, L. ROMEO
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Dynamic shortest‐path interdiction
Networks, 2016We study a dynamic network game between an attacker and a user. The user wishes to find a shortest path between a pair of nodes in a directed network, and the attacker seeks to interdict a subset of arcs to maximize the user's shortest‐path cost. In contrast to most previous studies, the attacker can interdict arcs any time the user reaches a node in ...
Jorge A. Sefair, J. Cole Smith
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European Journal of Operational Research, 2013
Abstract We study cooperative games that arise from the problem of finding shortest paths from a specified source to all other nodes in a network. Such networks model, among other things, efficient development of a commuter rail system for a growing metropolitan area.
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Abstract We study cooperative games that arise from the problem of finding shortest paths from a specified source to all other nodes in a network. Such networks model, among other things, efficient development of a commuter rail system for a growing metropolitan area.
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1986
Recently there has been considerable research activity on algorithms for finding shortest paths in geometries induced by obstacles. A typical problem is finding the shortest path between two points on the Euclidean plane avoiding a given set of polygonal obstacles (see Figure 1). We review this area and isolate several interesting open problems.
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Recently there has been considerable research activity on algorithms for finding shortest paths in geometries induced by obstacles. A typical problem is finding the shortest path between two points on the Euclidean plane avoiding a given set of polygonal obstacles (see Figure 1). We review this area and isolate several interesting open problems.
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