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A Hybrid Firefly Algorithm Based on Coordinates for the Prize-Collecting Vehicle Routing Problem

In: Operational Research in Agriculture and Tourism

Author

Listed:
  • Manousos Rigakis

    (Technical University of Crete)

  • Dimitra Trachanatzi

    (Technical University of Crete)

  • Magdalene Marinaki

    (Technical University of Crete)

  • Yannis Marinakis

    (Technical University of Crete)

Abstract

This paper investigates the Prize-Collecting Vehicle Routing Problem (PCVRP), to simulate a tourist trip design problem, and the solution of it via a hybrid Firefly Algorithm (FA), namely the Firefly Algorithm based on Coordinates (FAC). To the best of our knowledge, there is no publication found in the literature, focusing on the solution of the PCVR via FA. The hybridization that we propose is founded on the position, in the 2D-space, of each node included in a solution. Thus, the update mechanism of the original FA can be applied on non-probabilistic, continuous, problem-rated values. In order to demonstrate the effectiveness of the proposed algorithm, computational experiments were conducted over benchmark instances found in the literature. The results obtained by the FAC were compared to the corresponding solutions of another hybrid metaheuristic algorithm, the Distance Related Differential Evolution (DRDE) Algorithm and the CPLEX solver.

Suggested Citation

  • Manousos Rigakis & Dimitra Trachanatzi & Magdalene Marinaki & Yannis Marinakis, 2020. "A Hybrid Firefly Algorithm Based on Coordinates for the Prize-Collecting Vehicle Routing Problem," Cooperative Management, in: Evangelia Krassadaki & George Baourakis & Constantin Zopounidis & Nikolaos Matsatsinis (ed.), Operational Research in Agriculture and Tourism, pages 145-167, Springer.
    • Handle: RePEc:spr:comchp:978-3-030-38766-2_8
    DOI: 10.1007/978-3-030-38766-2_8
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    Cited by:

    1. Ruiz-Meza, José & Montoya-Torres, Jairo R., 2022. "A systematic literature review for the tourist trip design problem: Extensions, solution techniques and future research lines," Operations Research Perspectives, Elsevier, vol. 9(C).

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