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Queues with impolite customers
Authors:Süleyman Özekici  Jingwen Li  Fee Seng Chou
Institution:(1) Department of Industrial Engineering, Bogaziçi University, 80815 Bebek, Istanbul, Turkey;(2) Department of Decision Sciences, Faculty of Business Administration, National University of Singapore, 10 Kent Ridge Crescent, 0511 Singapore, Singapore
Abstract:An interesting behavior of customers arriving to a queue for service concerns the manner in which they join the queue. The arrival discipline of the customers may be impolite, in the sense that an arriving customer who finds all servers busy may pick a position which is not necessarily at the end of the line. We introduce and discuss in detail such an arrival discipline of sufficient generality which has interesting applications. In particular, we show that the more impolite an arrival discipline is, the bigger is the variance of the waiting time. We also study a special model in more depth to provide simple computational formulas for several performance measures.
Keywords:M/M/s queue  impolite arrivals  waiting time variance  jumps and cuts
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