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Cooperation in Vehicle Routing Game on a Megapolis Network

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Stability and Control Processes (SCP 2020)

Part of the book series: Lecture Notes in Control and Information Sciences - Proceedings ((LNCOINSPRO))

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Abstract

In this work, cooperative multiple depot open vehicle routing problem (MDOVRP) is considered. The underlying model is a time-dependent variant of classic VRP which presents congested traffic in a megapolis more correctly compare to its nontemporal flavor. With the aim to reduce operational expenses on transportation costs or rent for the vehicles, carrier companies can share the customers with each other by forming coalitions. We introduce Direct Coalition Induction Algorithm (DCIA) for constructing the characteristic function of TD-MDOPVR game that satisfies subadditive property. Shapley values calculated for the problem instance of 150 customers and 3 companies are compared with costs before cooperation. All numerical runs are performed on a graph of real road network of Saint-Petersburg which includes 255 nodes and 1251 arcs. Time-dependent travel times are obtained by solving traffic assignment problem in case of Wardrop’s user equilibrium.

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Acknowledgements

The work was jointly supported by a grant from the Russian Science Foundation (No. 19-71-10012 Multi-agent systems development for automatic remote control of traffic flows in congested urban road networks).

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Authors and Affiliations

  1. St. Petersburg State University, 7/9, Universitetskaya nab., St. Petersburg, 199034, Russia

    Alexander V. Mugayskikh

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  1. Alexander V. Mugayskikh
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Correspondence to Alexander V. Mugayskikh .

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Editors and Affiliations

  1. Department of Mathematical Modelling of Economic Systems, Saint Petersburg State University, Saint Petersburg, Russia

    Nikolay Smirnov

  2. Department of Control Systems Theory for Electrophysical Facilities, Saint Petersburg State University, Saint Petersburg, Russia

    Anna Golovkina

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Mugayskikh, A.V. (2022). Cooperation in Vehicle Routing Game on a Megapolis Network. In: Smirnov, N., Golovkina, A. (eds) Stability and Control Processes. SCP 2020. Lecture Notes in Control and Information Sciences - Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-030-87966-2_41

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