Transcription of Queuing Formulas - Missouri S&T
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Queuing Formulas - Missouri S&T
Queuing Formulas Contents1 Notation22 Basic Queueing Formulas23 Single-Server Formulas .. Some additional useful facts .. Examples .. 44 Multiple-Server Queues5 Notes prepared by A. Gosavi, Department of Engineering Management and Systems Engineering, Mis-souri S & Notation : mean rate of arrival. It is equal to 1=E[Inter-arrival-Time] whereE[:] denotes theexpectation operator. : mean service rate. It is equal to 1=E[Service-Time]. = = for single server queues: utilization of the server; also the probability that theserver is busy or the probability that someone is being served.
3 Single-Server Queues The following notation is used for representing queues: A/B/c/K where A denotes the distribution of the inter-arrival time, B that of the service time,c denotes the number of
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