Expected Time in System for M/G/1 Queue

Authors

Paul Savory, University of Nebraska at LincolnFollow

Document Type

Article

Date of this Version

2010

Comments

P. Savory (2010): "Expected Time in System for M/G/1 Queue", The Wolfram Demonstrations Project, http://demonstrations.wolfram.com/ExpectedTimeInSystemForMG1Queue/

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.