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International Journal of Neutrosophic Science
Volume 17 , Issue 2, PP: 144 - 157 , 2021 | Cite this article as | XML | Html |PDF


Single Valued Trapezoidal Neutrosophic Travelling Salesman Problem with Novel Greedy Method: The Dhouib-Matrix-TSP1 (DM-TSP1)

Authors Names :   Souhail Dhouib   1 *     Said Broumi   2     M. Lathamaheswari   3  

1  Affiliation :  Laboratory OLID, Higher Institute of Industrial Management, University of Sfax, Tunisia

    Email :  souhail.dhouib@gmail.com

2  Affiliation :  Regional Center for the Professions of Education and Training,Casablanca-Settat, Morocco; Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco

    Email :  broumisaid78@gmail.com

3  Affiliation :  Department of Mathematics, Hindustan Institute of Technology & Science, Chennai-603 103, India

    Email :  lathamax@gmail.com

Doi   :   https://doi.org/10.54216/IJNS.170205

Received: August 10, 2021 Accepted: December 29, 2021

Abstract :

Travelling salesman problem (TSP) is a prominent computational problem where trail technique is used to calculate all the possible travel and choose the best one. Since there is no branching or back tracking in greedy algorithms, determining the run time is much easier than the existing methods and hence, in this paper, a novel greedy method called Dhouib-Matrix-TSP1 is proposed as the first resolution of TSP to get the optimal solution using single valued trapezoidal neutrosophic numbers with several numerical examples. Also, results have been analyzed with graphical solutions.

Keywords :

Neutrosophic Optimization , Neutrosophic graphs , Travelling Salesman Problem , Operational Research , Combinatorial Problems , Heuristic , Dhouib-Matrix , Dhouib-Matrix-TSP1

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Cite this Article as :
Souhail Dhouib , Said Broumi , M. Lathamaheswari, Single Valued Trapezoidal Neutrosophic Travelling Salesman Problem with Novel Greedy Method: The Dhouib-Matrix-TSP1 (DM-TSP1), International Journal of Neutrosophic Science, Vol. 17 , No. 2 , (2021) : 144 - 157 (Doi   :  https://doi.org/10.54216/IJNS.170205)