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The constrained shortest path tour problem
Computers & Operations Research, 2016In this paper, we study the constrained shortest path tour problem. Given a directed graph with non-negative arc lengths, the aim is to find a single-origin single-destination shortest path, which needs to cross a sequence of node subsets that are given in a fixed order. The subsets are disjoint and may be of different size. In addition, it is required
Ferone D+3 more
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A Different Approach for Solving the Shortest Path Problem Under Mixed Fuzzy Environment
International Journal of Fuzzy System Applications, 2020The authors present a new algorithm for solving the shortest path problem (SPP) in a mixed fuzzy environment. With this algorithm, the authors can solve the problems with different sets of fuzzy numbers e.g., normal, trapezoidal, triangular, and LR-flat ...
Ranjan Kumar, S. Jha, Ramayan Singh
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A Study of Neutrosophic Shortest Path Problem
, 2020Shortest path problem (SPP) is an important and well-known combinatorial optimization problem in graph theory. Uncertainty exists almost in every real-life application of SPP.
Ranjan Kumar+3 more
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Resolving the shortest path problem using the haversine algorithm
, 2020Route search requires a useful and accurate algorithm to calculate the distance between two objects, especially on a round surface such as the earth. This algorithm provides a considerable circle distance between two locations on a non-flat surface.
D. A. Prasetya+4 more
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Solving the shortest path tour problem [PDF]
In this paper, we study the shortest path tour problem in which a shortest path from a given origin node to a given destination node must be found in a directed graph with non-negative arc lengths. Such path needs to cross a sequence of node subsets that are given in a fixed order. The subsets are disjoint and may be different-sized.
Festa P+3 more
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The shortest path problem with forbidden paths
European Journal of Operational Research, 2005We consider a variant of the constrained shortest path problem, where the constraints come from a set of forbidden paths (arc sequences) that cannot be part of any feasible solution. Two solution approaches are proposed for this variant. The first uses Aho and Corasick's keyword matching algorithm to filter paths produced by a k-shortest paths ...
Guy Desaulniers, Daniel Villeneuve
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2000
Consider a digraph G = (V, E) with non- negative costs c(e) = c ij (∀ e = (i, j) ∈ E) associated with the edges in G. To simplify further notation we define c ij := ∞ for all (i, j) ∉ E.
Kathrin Klamroth, Horst W. Hamacher
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Consider a digraph G = (V, E) with non- negative costs c(e) = c ij (∀ e = (i, j) ∈ E) associated with the edges in G. To simplify further notation we define c ij := ∞ for all (i, j) ∉ E.
Kathrin Klamroth, Horst W. Hamacher
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On the Shortest Path Problems with Edge Constraints
2020 22nd International Conference on Transparent Optical Networks (ICTON), 2020The goal of this work is to provide a brief classification of some Shortest Path Problem (SPP) variants that include edge constraints and that find applications in several different contexts, including optical networks, transportation and logistics.
Ferone D.+3 more
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