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Tutorial for Use of Basic Queueing 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.

Notes prepared by A. Gosavi, Department of Engineering Management and Systems Engineering, Mis-souri S & T.Please use as is, and I can’t help with your homework unless you’re taking a course with me:-)!! 1. 1 Notation We assume that we have a single-channel queue, i.e., there is only one waiting line. See

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