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Exact solutions for the collaborative pickup and delivery problem

Author

Listed:
  • Margaretha Gansterer

    (University of Vienna)

  • Richard F. Hartl

    (University of Vienna)

  • Philipp E. H. Salzmann

    (University of Vienna)

Abstract

In this study we investigate the decision problem of a central authority in pickup and delivery carrier collaborations. Customer requests are to be redistributed among participants, such that the total cost is minimized. We formulate the problem as multi-depot traveling salesman problem with pickups and deliveries. We apply three well-established exact solution approaches and compare their performance in terms of computational time. To avoid unrealistic solutions with unevenly distributed workload, we extend the problem by introducing minimum workload constraints. Our computational results show that, while for the original problem Benders decomposition is the method of choice, for the newly formulated problem this method is clearly dominated by the proposed column generation approach. The obtained results can be used as benchmarks for decentralized mechanisms in collaborative pickup and delivery problems.

Suggested Citation

  • Margaretha Gansterer & Richard F. Hartl & Philipp E. H. Salzmann, 2018. "Exact solutions for the collaborative pickup and delivery problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(2), pages 357-371, June.
    • Handle: RePEc:spr:cejnor:v:26:y:2018:i:2:d:10.1007_s10100-017-0503-x
    DOI: 10.1007/s10100-017-0503-x
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    Cited by:

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    3. Nuraiman, Dian & Ozlen, Melih & Hearne, John, 2020. "A spatial decomposition based math-heuristic approach to the asset protection problem," Operations Research Perspectives, Elsevier, vol. 7(C).
    4. Zahra Sadat Hasanpour Jesri & Kourosh Eshghi & Majid Rafiee & Tom Van Woensel, 2022. "The Multi-Depot Traveling Purchaser Problem with Shared Resources," Sustainability, MDPI, vol. 14(16), pages 1-26, August.
    5. Shejun Deng & Yingying Yuan & Yong Wang & Haizhong Wang & Charles Koll, 2020. "Collaborative multicenter logistics delivery network optimization with resource sharing," PLOS ONE, Public Library of Science, vol. 15(11), pages 1-31, November.
    6. Gómez-Marín, Cristian Giovanny & Comi, Antonio & Serna-Urán, Conrado Augusto & Zapata-Cortés, Julián Andrés, 2024. "Fostering collaboration and coordination in urban delivery: a multi-agent microsimulation model," Research in Transportation Economics, Elsevier, vol. 103(C).
    7. Soriano, Adria & Gansterer, Margaretha & Hartl, Richard F., 2023. "The multi-depot vehicle routing problem with profit fairness," International Journal of Production Economics, Elsevier, vol. 255(C).
    8. Margaretha Gansterer & Richard F. Hartl & Sarah Wieser, 2021. "Assignment constraints in shared transportation services," Annals of Operations Research, Springer, vol. 305(1), pages 513-539, October.
    9. Immanuel Bomze & Karl F. Dörner & Richard F. Hartl & Ulrike Leopold-Wildburger & Georg Pflug & Marion Rauner & Christian Stummer & Gernot Tragler & Tina Wakolbinger, 2018. "Emerging and innovative OR applications: a special issue in honor of Walter J. Gutjahr," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 26(2), pages 259-263, June.
    10. Parvez Farazi, Nahid & Zou, Bo & Tulabandhula, Theja, 2022. "Dynamic On-Demand Crowdshipping Using Constrained and Heuristics-Embedded Double Dueling Deep Q-Network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 166(C).

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