A Unified Family of Single-Server Queueing Location Models

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

Operations Research, 1990, vol. 38, issue 6, 1034-1044

Abstract: In this paper, we introduce a general class of single-server network location models which includes the median, center, stochastic queue median, stochastic queue center, L p norm, and other location problems in a single parametric framework. The model incorporates both queueing effects and a cost function (similar to a disutility function), which is nonlinear in response time. We develop a number of properties of this class of models, and present a method for evaluating a range of different objective functions for any given problem. The robustness of the median and center objectives as solution concepts is highlighted.

Keywords: facilities/equipment planning: facility location; networks/graphs: theory (search for similar items in EconPapers)
Date: 1990
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