Industrial and Management Systems Engineering, Department of
Department of Industrial and Management Systems Engineering: Faculty Publications
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Expected Time in System for M/G/1 Queue
Document Type
Article
Date of this Version
2010
Abstract
Queueing theory focuses on study waiting lines though the use of mathematical or queueing models. Queueing models provide numerous estimates of the steady-state performance measures of a queue for systems which meet the required assumptions. This demonstration, written in Mathematica, allows one to calculate the steady-state expected waiting time in an M/G/1 queue for a range of arrival rates. The M/G/1 queue models the situation with exponential (random arrivals), a general service time distribution, and one server.
COinS
Comments
P. Savory (2010): "Expected Time in System for M/G/1 Queue", The Wolfram Demonstrations Project, http://demonstrations.wolfram.com/ExpectedTimeInSystemForMG1Queue/