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Cooperative maximum-flow problem under uncertainty in logistic networks

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  • Hafezalkotob, Ashkan
  • Makui, Ahmad

Abstract

Many decision-making problems in the context of transhipment and logistics, distribution networks, airline planning and so on, can best be analyzed by the means of maximum-flow models in networks. In a multiple-owner network, several players possess arcs and nodes of a network. Since parameters of the network in many real problems are highly uncertain, maintaining a stable flow is as much important as maximizing the flow passing through the network. Thus, a key question is how the independent owners of a network should collaborate to maintain a reliable maximum flow. We address this question by presenting a stochastic mathematical programming model for the multiple-owner graph problem under uncertainty. Afterwards, a number of collaboration methods are studied based on the game theory. These methods are illustrated with an example to gain an insight into properties of the corresponding game results and behavior of the different solution concepts.

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  • Hafezalkotob, Ashkan & Makui, Ahmad, 2015. "Cooperative maximum-flow problem under uncertainty in logistic networks," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 593-604.
    • Handle: RePEc:eee:apmaco:v:250:y:2015:i:c:p:593-604
    DOI: 10.1016/j.amc.2014.10.080
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    1. 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.
    2. Adil Baykasoğlu & Burcu Kubur Özbel, 2021. "Explicit flow-risk allocation for cooperative maximum flow problems under interval uncertainty," Operational Research, Springer, vol. 21(3), pages 2149-2179, September.
    3. Hafezalkotob, Ashkan, 2017. "Competition, cooperation, and coopetition of green supply chains under regulations on energy saving levels," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 97(C), pages 228-250.
    4. Mehmet Onur Olgun, 2022. "Collaborative airline revenue sharing game with grey demand data," 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. 30(3), pages 861-882, September.
    5. Dahlberg, Joen & Göthe-Lundgren, Maud & Engevall, Stefan, 2017. "A note on the nonuniqueness of the Equal Profit Method," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 84-89.
    6. Mehryar, Mehdi & Hafezalkotob, Ashkan & Azizi, Amir & Sobhani, Farzad Movahedi, 2023. "Dynamic zoning of the network using cooperative transmission and maintenance planning: A solution for sustainability of water distribution networks," Reliability Engineering and System Safety, Elsevier, vol. 235(C).
    7. Trust Tawanda & Philimon Nyamugure & Santosh Kumar & Elias Munapo, 2023. "An intelligent node labelling maximum flow algorithm," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(4), pages 1276-1284, August.
    8. Ying Wang & Xiangyu Mao & Hashim Zameer, 2022. "Designing benefit distribution driven innovation strategy for local enterprises under the global value chain system," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(6), pages 2358-2373, September.
    9. Yong Wang & Yingying Yuan & Xiangyang Guan & Haizhong Wang & Yong Liu & Maozeng Xu, 2019. "Collaborative Mechanism for Pickup and Delivery Problems with Heterogeneous Vehicles under Time Windows," Sustainability, MDPI, vol. 11(12), pages 1-30, June.
    10. Nafiseh Fallahi & Ashkan Hafezalkotob & Sadigh Raissi & Vahidreza Ghezavati, 2023. "Cooperation and coopetition among retailers-third party logistics providers alliances under different risk behaviors, uncertainty demand and environmental considerations," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(6), pages 5597-5633, June.

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