Strategic Arrival Times to Queueing Systems

Jesper Breinbjerg ()
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Jesper Breinbjerg: Department of Business and Economics, Postal: University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark

No 6/2016, Discussion Papers on Economics from University of Southern Denmark, Department of Economics

Abstract: We examine a non-cooperative queueing game where a finite number of customers seek service at a bottleneck facility which opens at a given point in time. The facility servers one customer at a time on a first-come, first-serve basis and the amount of time required to service each customer is identically and independently distributed according to some general probability distribution. The customers must individually choose when to arrive at the facility, and they prefer to complete service as early as possible, while minimizing the time spent waiting in the queue. These preferences are captured by a general utility function which is decreasing in the waiting time and service completion time of each customer. Applications of such queueing games range from people choosing when to arrive at a grand opening sale to travellers choosing when to line up at the gate when boarding an airplane. We develop a constructive procedure that characterizes an arrival strategy which constitutes a symmetric Nash equilibrium and show that there is at most one symmetric equilibrium. We accompany the equilibrium characterization with numerically computed examples of symmetric equilibria induced by a non-multilinear utility function.

Keywords: Non-cooperative queueing games; strategic arrivals; Nash equilibrium (search for similar items in EconPapers)
JEL-codes: C72 D62 R41 (search for similar items in EconPapers)
Pages: 27 pages
Date: 2016-09-20
New Economics Papers: this item is included in nep-gth, nep-hpe and nep-mic
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