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A novel approach to the Orienteering Problem based on the Harmony Search algorithm

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  • Krzysztof Szwarc
  • Urszula Boryczka

Abstract

This article presents a new approach to designing a Harmony Search (HS) algorithm, adapted to solve Orienteering Problem (OP) instances. OP is a significant N P-hard problem that has considerable practical application, requiring the development of an effective method for determining its solutions. The proposed HS has demonstrated its effectiveness through determined optimum results for each task from the six most popular benchmarks; a marginal number approximated the best results, with the average error below 0.01%. The article details the application of this described algorithm, comparing its results with those of state-of-the-art methods, indicating the significant efficiency of the proposed approach.

Suggested Citation

  • Krzysztof Szwarc & Urszula Boryczka, 2022. "A novel approach to the Orienteering Problem based on the Harmony Search algorithm," PLOS ONE, Public Library of Science, vol. 17(2), pages 1-21, February.
    • Handle: RePEc:plo:pone00:0264584
    DOI: 10.1371/journal.pone.0264584
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    1. Thibaut Vidal & Nelson Maculan & Luiz Satoru Ochi & Puca Huachi Vaz Penna, 2016. "Large Neighborhoods with Implicit Customer Selection for Vehicle Routing Problems with Profits," Transportation Science, INFORMS, vol. 50(2), pages 720-734, May.
    2. Chao, I-Ming & Golden, Bruce L. & Wasil, Edward A., 1996. "A fast and effective heuristic for the orienteering problem," European Journal of Operational Research, Elsevier, vol. 88(3), pages 475-489, February.
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