In this paper a two-stage optimization model is studied to find the optimal location of new facilitites 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.
Optimal transport and a bilevel location-allocation problem / Mallozzi, Lina; PASSARELLI DI NAPOLI, Antonia. - In: JOURNAL OF GLOBAL OPTIMIZATION. - ISSN 0925-5001. - (2015). [10.1007/s10898-015-0347-7]
Optimal transport and a bilevel location-allocation problem
MALLOZZI, LINA;PASSARELLI DI NAPOLI, ANTONIA
2015
Abstract
In this paper a two-stage optimization model is studied to find the optimal location of new facilitites 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.File | Dimensione | Formato | |
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