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Preemptive stacker crane problem: Extending tree-based properties and construction heuristics

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  • Graf, Benjamin

Abstract

The stacker crane problem (SCP) considers the cost-minimal routing of a single unit-capacity vehicle that needs to satisfy a given set of one-to-one pickup and delivery requests. In the preemptive stacker crane problem (PSCP), the vehicle is additionally allowed to temporarily drop its payload at arbitrary intermediate locations. While a payload is stored at an intermediate location, other requests may be performed. Prior work in the literature has shown that a specific tree structure is sufficient to represent optimal solutions for the PSCP. Building on this tree structure, this work establishes bounds on the benefits of preemption and additional drop locations that are neither associated with a pickup nor a delivery location, proposes reduced solution representations and describes algorithms for subproblems solvable in polynomial time. Furthermore, heuristic construction methods adapted for the PSCP from well-known heuristics for the asymmetric traveling salesman problem (ATSP) and capacitated vehicle routing problem (CVRP) are presented. The previously described and newly proposed adapted heuristics are evaluated and compared in a large scale computational study with respect to computation time, solution quality and other solution characteristics.

Suggested Citation

  • Graf, Benjamin, 2021. "Preemptive stacker crane problem: Extending tree-based properties and construction heuristics," European Journal of Operational Research, Elsevier, vol. 292(2), pages 532-547.
    • Handle: RePEc:eee:ejores:v:292:y:2021:i:2:p:532-547
    DOI: 10.1016/j.ejor.2020.10.051
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    References listed on IDEAS

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    1. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Rejoinder on: Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 45-47, July.
    2. Gerardo Berbeglia & Jean-François Cordeau & Irina Gribkovskaia & Gilbert Laporte, 2007. "Static pickup and delivery problems: a classification scheme and survey," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 1-31, July.
    3. G. Clarke & J. W. Wright, 1964. "Scheduling of Vehicles from a Central Depot to a Number of Delivery Points," Operations Research, INFORMS, vol. 12(4), pages 568-581, August.
    4. Glover, Fred & Gutin, Gregory & Yeo, Anders & Zverovich, Alexey, 2001. "Construction heuristics for the asymmetric TSP," European Journal of Operational Research, Elsevier, vol. 129(3), pages 555-568, March.
    5. M. W. P. Savelsbergh & M. Sol, 1995. "The General Pickup and Delivery Problem," Transportation Science, INFORMS, vol. 29(1), pages 17-29, February.
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