A Decision Tree Application for the Development of a Novel Approach to the Traveling Salesman Issue


Authors : Kalyan Kumar Mallick; Tapan Kumar Biswas; Md. Mostafa Kamal; Foyjun Nahar; Ramani Ranjan Sikder; Most. Arzu Banu; Md. Tareq Hasan

Volume/Issue : Volume 9 - 2024, Issue 9 - September


Google Scholar : https://tinyurl.com/3nhpt8n7

Scribd : https://tinyurl.com/5n8t54v5

DOI : https://doi.org/10.38124/ijisrt/IJISRT24SEP527

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Abstract : The Traveling Salesman Problem (TSP) is a combinatorial problem related to computer science and operations research. There are many methods proposed in the literature to solve TSP with profit and losses. In this classical problem, the objective is to visit a finite number of locations exactly once, one by one, while minimizing the total distance traveled by the connecting links (arcs) needed to reach these sites (nodes). This study presents a new procedure that applies TSP and makes use of the decision tree notion. Anywhere in the TSP network, where n is the total number of places (nodes) in the network, this system ends after n-1 iterations. The method's step-by-step computational criteria make it efficient and readily applicable. To demonstrate the process's validity and efficiency, numerical examples are provided.

Keywords : Traveling Salesman Problem (TSP), Minimum Distance Tour, Symmetric TSP, Optimization.

References :

  1. Mallick, K.K., Khan, A.R., Ahmed, M.M., Arefin, Md.S. and Uddin, Md.S. (2016) Modified EDMONDSKARP Algorithm to Solve Maximum Flow Problems. Open Journal of Applied Sciences, Vol. 6, pp.131-140
  2. Khan, Md.A., Rashid, A., Khan, A.R. and Uddin, Md.S. (2013) An Innovative Approach for Solving Maximal-Flow Problems, Journal of Physical Sciences, Vol. 17, pp. 143-154.
  3. Ahmed, F., Khan, Md.A., Khan, A.R., Ahmed, S.S. and Uddin, Md.S. (2014) An Efficient Algorithm for Finding Maximum Flow in a Network-Flow. Journal of Physical Sciences, Vol. 19, pp. 41-50.
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The Traveling Salesman Problem (TSP) is a combinatorial problem related to computer science and operations research. There are many methods proposed in the literature to solve TSP with profit and losses. In this classical problem, the objective is to visit a finite number of locations exactly once, one by one, while minimizing the total distance traveled by the connecting links (arcs) needed to reach these sites (nodes). This study presents a new procedure that applies TSP and makes use of the decision tree notion. Anywhere in the TSP network, where n is the total number of places (nodes) in the network, this system ends after n-1 iterations. The method's step-by-step computational criteria make it efficient and readily applicable. To demonstrate the process's validity and efficiency, numerical examples are provided.

Keywords : Traveling Salesman Problem (TSP), Minimum Distance Tour, Symmetric TSP, Optimization.

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