Article1985

Sensitivity analysis of the optimal location of a facility

32 citations0/0 files storedNaval Research Logistics Quarterly

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Facility Location and Emergency Management Computational Geometry and Mesh Generation Optimization and Mathematical Programming

Abstract

Abstract We perform a sensitivity analysis of the Euclidean, single‐facility minisum problem, which is also known as the Weber problem. We find the sensitivity of the optimal site of the new facility to changes in the locations and weights of the demand points. We apply these results to get the optimal site if some of the parameters in the problem are changed. We also get approximate formulas for the set of all possible optimal sites if demand points are restricted to given areas, and weights must be within given ranges, which is a location problem under conditions of uncertainty.

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References

1980Optimal location of a facility relative to area demands 1978A Trajectory Method for the Optimization of the Multi-Facility Location Problem With lp Distances

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2009The stochastic -median problem with unknown cost probability distribution 1992Asymptotic behavior of the Weber location problem on the plane 2001On the choice of aggregation points for continuousp-median problems: A case for the gravity centre 2010A robust optimization model for p-median problem with uncertain edge lengths

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