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Constrained shortest paths and related problems

2001
The classical shortest path problem, to find a path of minimal cost between two nodes in a graph, is efficiently solvable in polynomial time. However, in many applications we also have additional budget or resource constraints on a path. This problem is known as constrained shortest path problem and unfortunately belongs to the class of "hard" problems
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A note on the constrained shortest‐path problem

Naval Research Logistics Quarterly, 1984
AbstractThe subject of this note is the validity of the algorithm described by Aneja and Nair to solve the constrained shortest‐path problem.
Pujari, Arun K.   +2 more
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On the shortest path problem for permutation graphs

[1993] Proceedings Seventh International Parallel Processing Symposium, 2002
The authors show that the single-source shortest path problem for permutation graphs can be solved in O(logn) time using O(n/logn) processors on an EREW PRAM. As an application, they show that a minimum connected dominating set of a permutation graph can be found in O(logn) time using O(n/logn) processors. The algorithms are optimal with respect to the
Oscar H. Ibarra, Qi Zheng 0001
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Stochastic Safest and Shortest Path Problems

Proceedings of the AAAI Conference on Artificial Intelligence, 2021
Optimal solutions to Stochastic Shortest Path Problems (SSPs) usually require that there exists at least one policy that reaches the goal with probability 1 from the initial state. This condition is very strong and prevents from solving many interesting problems, for instance where all possible policies reach some dead-end states with a
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Uncertain random shortest path problem

Soft Computing, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuhong Sheng, Xuehui Mei
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The Shortest Path Problems

1970
The first image that comes to mind when the word ‘network’ is mentioned is a traffic network, whether it be road or air traffic. Most of us are familiar with such networks since one rarely travels from one location to another without consulting a ‘map’, which is, in our terminology, a ‘network’.
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A note on the problem of updating shortest paths

Networks, 1981
AbstractThe problem of updating shortest paths from all the vertices to a set of vertices when the length function is decreased was considered by S. Goto and A. Sangiovanni‐Vincentelli and a solution algorithm was presented based on the LU‐factorization of the measure matrix and a matrix inversion formula.
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The shortest path problem.

Ann. UMCS Informatica, 2003
Artykuł z : Annales Universitatis Mariae Curie-Skłodowska, Sectio AI, Informatica, Vol. 1 (2003), s. 297-301 ; Artykuł z : Annales Universitatis Mariae Curie-Skłodowska, Sectio AI, Informatica, Vol. 1 (2003), s.
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An efficient exact approach for the constrained shortest path tour problem

Optimization Methods and Software, 2020
Daniele Ferone   +2 more
exaly  

An Exact Algorithm for the Elementary Shortest Path Problem with Resource Constraints

Transportation Science, 2016
Leonardo Lozano   +2 more
exaly  

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