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

  • PERCY H. BRILLt, LINDA GREENt
  • Published 2007

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. (MULTIPLE SERVER QUEUES; SYSTEM POINT METHOD; LEVEL CROSSINGS; DISTINGUISHABLE CUSTOMERS)

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Cite this paper

@inproceedings{BRILLt2007QueuesIW, title={Queues in Which Customers Receive Simultaneous Service from a Random Number of Servers: a System Point Approach*}, author={PERCY H. BRILLt and LINDA GREENt}, year={2007} }