Optimal transport and a bilevel location-allocation problem

Lina Mallozzi () and Antonia Passarelli di Napoli ()
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Lina Mallozzi: University of Naples Federico II
Antonia Passarelli di Napoli: University of Naples Federico II

Journal of Global Optimization, 2017, vol. 67, issue 1, No 10, 207-221

Abstract: 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.

Keywords: Bilevel optimization; Facility location; Optimal transport (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10898-015-0347-7

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