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Technical Note—Bounds in the Generalized Weber Problem under Locational Uncertainty

Author

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  • Henrik Juel

    (Soenderborg School of Economics and Business Administration, Soenderborg, Denmark)

Abstract

An existing analysis of the bounds on the Weber problem solution under uncertainty is incorrect. For the generalized problem with arbitrary measures of distance, we give easily computable ranges on the bounds and state the conditions under which the exact values of the bounds can be found with little computational effort. Numerical examples illustrate the analysis.

Suggested Citation

  • Henrik Juel, 1981. "Technical Note—Bounds in the Generalized Weber Problem under Locational Uncertainty," Operations Research, INFORMS, vol. 29(6), pages 1219-1227, December.
    • Handle: RePEc:inm:oropre:v:29:y:1981:i:6:p:1219-1227
    DOI: 10.1287/opre.29.6.1219
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    Cited by:

    1. Blanco, Víctor & Fernández, Elena & Puerto, Justo, 2017. "Minimum Spanning Trees with neighborhoods: Mathematical programming formulations and solution methods," European Journal of Operational Research, Elsevier, vol. 262(3), pages 863-878.
    2. Nazlı Dolu & Umur Hastürk & Mustafa Kemal Tural, 2020. "Solution methods for a min–max facility location problem with regional customers considering closest Euclidean distances," Computational Optimization and Applications, Springer, vol. 75(2), pages 537-560, March.
    3. Víctor Blanco, 2019. "Ordered p-median problems with neighbourhoods," Computational Optimization and Applications, Springer, vol. 73(2), pages 603-645, June.

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