A unified family of single-server queueing location models

In this paper, the authors introduce a general class of single-server network location models which includes the median, center, stochastic queue median, stochastic queue center, Lp 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. The authors 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.