Queues in Which Customers Receive Simultaneous Service from a Random Number of Servers: A System Point Approach

Percy H. Brill and Linda Green
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Percy H. Brill: University of Waterloo
Linda Green: Columbia University

Management Science, 1984, vol. 30, issue 1, 51-68

Abstract: We examine a multi-server queueing system with Poisson arrivals in which customers require simultaneous service from a random number of servers. Servers assigned to the same customer begin and end service concurrently. Service times are, in general, assumed to be exponentially distributed. A system point approach is presented as a framework for obtaining the waiting time distribution for each customer type. Explicit solutions are derived for the two-server system.

Keywords: multiple server queues; system point method; level crossings; distinguishable customers (search for similar items in EconPapers)
Date: 1984
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:30:y:1984:i:1:p:51-68

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