Applying Dijkstra algorithm for solving neutrosophic shortest path problem
Said Broumi, Assia Bakal, Mohamed Talea, Florentín Smarandache, Luige Vlădăreanu
Abstract
Said Broumi, Assia Bakal, Mohamed Talea, Florentín Smarandache, Luige Vlădăreanu
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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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