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Optimal transport and a bilevel location-allocation problem

Author

Listed:
  • Lina Mallozzi

    (University of Naples Federico II)

  • Antonia Passarelli di Napoli

    (University of Naples Federico II)

Abstract

In this paper a two-stage optimization model is studied to find the optimal location of new facilities and the optimal partition of the consumers (location-allocation problem). The social planner minimizes the social costs, i.e. the fixed costs plus the waiting time costs, taking into account that the citizens are partitioned in the region according to minimizing the capacity costs plus the distribution costs in the service regions. By using optimal transport tools, existence results of solutions to the location-allocation problem are presented together with some examples.

Suggested Citation

  • Lina Mallozzi & Antonia Passarelli di Napoli, 2017. "Optimal transport and a bilevel location-allocation problem," Journal of Global Optimization, Springer, vol. 67(1), pages 207-221, January.
    • Handle: RePEc:spr:jglopt:v:67:y:2017:i:1:d:10.1007_s10898-015-0347-7
    DOI: 10.1007/s10898-015-0347-7
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    References listed on IDEAS

    as
    1. Leon A Petrosyan & Nikolay A Zenkevich, 2016. "Game Theory," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 9824, August.
    2. L. Mallozzi & E. D’Amato & Elia Daniele, 2014. "A Planar Location-Allocation Problem with Waiting Time Costs," Springer Optimization and Its Applications, in: Themistocles M. Rassias & László Tóth (ed.), Topics in Mathematical Analysis and Applications, edition 127, pages 541-556, Springer.
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    Cited by:

    1. Lina Mallozzi & Justo Puerto & Moisés Rodríguez-Madrena, 2019. "On Location-Allocation Problems for Dimensional Facilities," Journal of Optimization Theory and Applications, Springer, vol. 182(2), pages 730-767, August.
    2. Liming Yao & Zhongwen Xu & Ziqiang Zeng, 2020. "A Soft‐Path Solution to Risk Reduction by Modeling Medical Waste Disposal Center Location‐Allocation Optimization," Risk Analysis, John Wiley & Sons, vol. 40(9), pages 1863-1886, September.

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