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.
wait in the queue, (ii) mean number in the queue, (iii) the mean wait in the system, (iv) mean number in the system and (v) proportion of time the server is idle. Simulation results indicate W q to be about 8.1 minutes. We have a G/G/1 system. We also have: = 1=10; the variance of the inter-arrival time is 20. The mean service time will be 8, i ...
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