Optimal location problems with routing cost

2013/06/25 by Giuseppe Buttazzo, Buttazzo, Giuseppe, Serena Guarino Lo Bianco +3
Business, Management and Accounting · Computer Science · Mathematics · #49Q10 #49Q20 #90B80 #90B85 #Computational Geometry and Mesh Generation #FOS: Mathematics #Facility Location and Emergency Management #Optimization and Control (math.OC) #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1306.6070

openalex publication_date 2013/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper a model problem for the location of a given number N of points in a given region Ω and with a given resources density ρ(x) is considered. The main difference between the usual location problems and the present one is that in addition to the location cost an extra \it routing cost is considered, that takes into account the fact that the resources have to travel between the locations on a point-to-point basis. The limit problem as N→∞ is characterized and some applications to airfreight systems are shown.

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