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A Planar Location-Allocation Problem with Waiting Time Costs

In: Topics in Mathematical Analysis and Applications

Author

Listed:
  • L. Mallozzi

    (Università degli Studi di Napoli “Federico II”)

  • E. D’Amato

    (Seconda Università degli Studi di Napoli)

  • Elia Daniele

    (Fraunhofer IWES, Turbine Simulation, Software Development and Aerodynamics)

Abstract

We study a location-allocation problem where the social planner has to locate some new facilities minimizing 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 acquisition costs plus the distribution costs in the service regions. In order to find the optimal location of the new facilities and the optimal partition of the consumers, we consider a two-stage optimization model. Theoretical and computational aspects of the location-allocation problem are discussed for a planar region and illustrated with examples.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:spochp:978-3-319-06554-0_23
    DOI: 10.1007/978-3-319-06554-0_23
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    Cited by:

    1. 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.

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