×

zbMATH — the first resource for mathematics

Sensitivity analysis of the optimal location of a facility. (English) Zbl 0578.90022
Summary: 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.

MSC:
90B05 Inventory, storage, reservoirs
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Cooper, Journal of Regional Science 18 pp 87– (1978)
[2] Drezner, Journal of the Operational Research Society 30 pp 923– (1979)
[3] Drezner, Management Science 24 pp 1507– (1978)
[4] Drezner, Naval Research Logistics Quarterly 27 pp 199– (1980)
[5] Drezner, Transportation Science 15 pp 85– (1981)
[6] and , Facility Layout and location, Prentice-Hall, Englewood Cliffs, NJ, 1974.
[7] Discrete Variable Methods in Ordinary Differential Equations, Wiley, New York, 1962. · Zbl 0112.34901
[8] Juel, Operations Research 29 pp 1219– (1981)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.