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International Journal of Latest Research in Science and Technology

DOI:10.29111/ijlrst   ISRA Impact Factor:3.35,  Peer-reviewed, Open-access Journal

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IMPROVING THE NNA FOR THE TRAVELLING SALESMAN PROBLEM USING A MVM

Research Paper Open Access

International Journal of Latest Research in Science and Technology Vol.5 Issue 2, pp 106-109,Year 2016

IMPROVING THE NNA FOR THE TRAVELLING SALESMAN PROBLEM USING A MVM

Almaatani Dalia, Boudjellaba Hafida, Gningue Youssou, Takouda Matthias, Zhu Haibin

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Received : 20 April 2016; Accepted : 25 April 2016 ; Published : 30 April 2016

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Abstract

The Travelling Salesman Problem (TSP) consists of finding the lowest cost or the shortest path tour between cities. In the theory of computational complexity, the TSP belongs to the class of NP-complete problems and is one of the simplest but most intensively studied problems in optimization. Even though the problem is computationally difficult, a large number of heuristics and exact methods are known. In this presentation, we propose a new heuristic algorithm for the asymmetric TSP. It is well known that NNA is very sensitive to the starting city. We basically use the first iteration of the Modified Vogel Method (MVM) in order to determine the best-starting city for the Nearest Neighbor Algorithm (NNA). Note that the resulting solution tour can be considerably improved. This can yield, in some cases, to the optimal solution.

Key Words   
Travelling Salesman Problem, Nearest Neighbor Algorithm, Modified Vogel Method, Vogel Approx
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References
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To cite this article

Almaatani Dalia, Boudjellaba Hafida, Gningue Youssou, Takouda Matthias, Zhu Haibin , " Improving The Nna For The Travelling Salesman Problem Using A Mvm ", International Journal of Latest Research in Science and Technology . Vol. 5, Issue 2, pp 106-109 , 2016

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