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A Similarity Hybrid Harmony Search Algorithm for the Orienteering Problem

In: Operational Research in Agriculture and Tourism

Author

Listed:
  • Eleftherios Tsakirakis

    (School of Production Engineering and Management, Technical University of Crete)

  • Magdalene Marinaki

    (School of Production Engineering and Management, Technical University of Crete)

  • Yannis Marinakis

    (School of Production Engineering and Management, Technical University of Crete)

Abstract

In the last few years there is a continuous growth in modeling and solving of problems of different fields (logistics, tourism, games) as Orienteering Problems (OPs). The Orienteering Problem is a combinatorial optimization problem where a standard amount of nodes are given, each with a specific score. The main goal is to find a path, limited in length, from the start point to the end point through a subset of locations in order to maximize the total path score. In this paper, we present a variant of the classic Harmony Search (HS) algorithm, the Similarity Hybrid Harmony Search (SHHS) algorithm, for the solution of the Orienteering Problem. The SHHS follows the basic steps of the standard HS with some minor changes and includes a new idea considering the similarity of the feasible routes such as the musical notes of a suitable frequency for the Harmony Memory. The algorithm was tested in a number of benchmark instances from the literature and in most of them the best known solutions were found.

Suggested Citation

  • Eleftherios Tsakirakis & Magdalene Marinaki & Yannis Marinakis, 2020. "A Similarity Hybrid Harmony Search Algorithm for the Orienteering Problem," Cooperative Management, in: Evangelia Krassadaki & George Baourakis & Constantin Zopounidis & Nikolaos Matsatsinis (ed.), Operational Research in Agriculture and Tourism, pages 197-218, Springer.
  • Handle: RePEc:spr:comchp:978-3-030-38766-2_10
    DOI: 10.1007/978-3-030-38766-2_10
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