2016Unpublished venueRequires access

Applying Dijkstra algorithm for solving neutrosophic shortest path problem

Said Broumi, Assia Bakal, Mohamed Talea, Florentín Smarandache, Luige Vlădăreanu

Open publisher page 133 citations

Abstract

The selection of shortest path problem is one the classic problems in graph theory. In literature, many algorithms have been developed to provide a solution for shortest path problem in a network. One of common algorithms in solving shortest path problem is Dijkstra's algorithm. In this paper, Dijkstra's algorithm has been redesigned to handle the case in which most of parameters of a network are uncertain and given in terms of neutrosophic numbers. Finally, a numerical example is given to explain the proposed algorithm.

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What this paper is about

The selection of shortest path problem is one the classic problems in graph theory. In literature, many algorithms have been developed to provide a solution for shortest path problem in a network. One of common algorithms in solving shortest path problem is Dijkstra's algorithm. In this paper, Dijkstra's algorithm has been redesigned to handle the case in which most of parameters of a network are uncertain and given in terms of neutrosophic numbers. Finally, a numerical example is given to explain the proposed algorithm.

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OpenAlex reports 133 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The selection of shortest path problem is one the classic problems in graph theory. In literature, many algorithms have been developed to provide a solution for shortest path problem in a network. One of common algorithms in solving shortest path problem is Dijkstra's algorithm. In this paper, Dijkstra's algorithm has been redesigned to handle the case in which most of parameters of a network are uncertain and given in terms of neutrosophic numbers. Finally, a numerical example is given to explain the proposed algorithm.

Key concepts: Dijkstra's algorithm, Yen's algorithm, Shortest path problem, K shortest path routing, Shortest Path Faster Algorithm, Pathfinding, Suurballe's algorithm, Computer science

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