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A Genetic Algorithm in Combination with a Solution Archive for Solving the Generalized Vehicle Routing Problem with Stochastic Demands

Author

Listed:
  • Benjamin Biesinger

    (Institute of Computer Graphics and Algorithms, TU Wien, 1040 Vienna, Austria; AIT Austrian Institute of Technology GmbH, Center for Mobility Systems, Dynamic Transportation Systems, 1210 Vienna, Austria)

  • Bin Hu

    (Institute of Computer Graphics and Algorithms, TU Wien, 1040 Vienna, Austria; AIT Austrian Institute of Technology GmbH, Center for Mobility Systems, Dynamic Transportation Systems, 1210 Vienna, Austria)

  • Günther R. Raidl

    (Institute of Computer Graphics and Algorithms, TU Wien, 1040 Vienna, Austria)

Abstract

This work presents a steady-state genetic algorithm enhanced by a complete trie-based solution archive for solving the generalized vehicle routing problem with stochastic demands using a preventive restocking strategy. As the necessary dynamic programming algorithm for the solution evaluation is very time consuming, considered candidate solutions are stored in the solution archive. It acts as complete memory of the search history, avoids reevaluations of duplicate solution candidates, and is able to efficiently transform them into guaranteed new ones. This increases the diversity of the population and reduces the risk of premature convergence. Similar to a branch-and-bound algorithm, the tree structure of the solution archive is further exploited to compute lower bounds on the nodes to cut off parts of the solution space that evidently do not contain good solutions. Since in each iteration a not yet considered solution candidate is generated and completeness can be efficiently checked, the overall method is in principle an exact enumeration algorithm, which leads to guaranteed optimal solutions for smaller instances. Computational results of this algorithm show the superiority over the so far state-of-the-art metaheuristic and also prove its effectiveness on the nongeneralized version of this problem.

Suggested Citation

  • Benjamin Biesinger & Bin Hu & Günther R. Raidl, 2018. "A Genetic Algorithm in Combination with a Solution Archive for Solving the Generalized Vehicle Routing Problem with Stochastic Demands," Transportation Science, INFORMS, vol. 52(3), pages 673-690, June.
    • Handle: RePEc:inm:ortrsc:v:52:y:2018:i:3:p:673-690
    DOI: 10.1287/trsc.2017.0778
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    References listed on IDEAS

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    7. Karels, Vincent C.G. & Rei, Walter & Veelenturf, Lucas P. & Van Woensel, Tom, 2024. "A vehicle routing problem with multiple service agreements," European Journal of Operational Research, Elsevier, vol. 313(1), pages 129-145.

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