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Multi-start constructive heuristic through descriptive statistical metrics: the Dhouib-Matrix-4 metaheuristic

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  • Souhail Dhouib

Abstract

In this paper, we design and develop a new metaheuristic named Dhouib-Matrix-4 (DM4). This method is based on a multi-start structure, where in each start a diversification phase is ensured by a constructive heuristic entitled Dhouib-Matrix-TSP1 (DM-TSP1) and an intensification phase is guaranteed by a novel local search method named far-to-near (FtN). Several descriptive statistical metrics (range, mode, standard deviation, etc.) are used in the heuristic DM-TSP1 in order to explore different realisable solutions. Respectively, these realisable solutions are exploited as starting points by the FtN method using several perturbation techniques (insertion, exchange and 2opt). The performance of the proposed method DM4 is tested on the travelling salesman problem using the well-known TSP-LIB benchmark instances with integer and real distances. Experimental results demonstrate that our approach DM4 is very competitive compared to the last developed metaheuristics.

Suggested Citation

  • Souhail Dhouib, 2024. "Multi-start constructive heuristic through descriptive statistical metrics: the Dhouib-Matrix-4 metaheuristic," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 50(2), pages 246-265.
    • Handle: RePEc:ids:ijores:v:50:y:2024:i:2:p:246-265
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