Spatial tessellations: concepts and applications of Voronoi diagrams
Spatial tessellations: concepts and applications of Voronoi diagrams
A continuous analysis framework for the solution of location-allocation problems with dense demand
Computers and Operations Research
Reliable Facility Location Design Under the Risk of Disruptions
Operations Research
Facility Location Decisions with Random Disruptions and Imperfect Estimation
Manufacturing & Service Operations Management
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This paper proposes an algorithm that automatically translates the continuum approximation (CA) recipes for location problems into discrete designs. It applies to terminal systems, but can also be used for other logistics problems. The study also systematically compares the logistics costs predicted by the CA approach with the actual costs for discrete designs obtained with the automated procedure. The predictions are quite accurate. The paper also gives conditions under which the discrete solution has a small optimality gap.