Establishing Continuity of Certain Optimal Parametric Facility Location Trajectories

Margaret L. Brandeau and Samuel S. Chiu
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Margaret L. Brandeau: Stanford University, Stanford, California 94305
Samuel S. Chiu: Stanford University, Stanford, California 94305

Transportation Science, 1988, vol. 22, issue 3, 224-225

Abstract: Parametric elements arise naturally in many facility location problems. In this note we establish that if the objective function for a single-server parametric location problem is strictly convex in a certain sense, and if the objective function possesses certain reasonable continuity properties, then the parametric trajectory of the optimal location is continuous.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:22:y:1988:i:3:p:224-225

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