On the bounds of G/G/1 heavy-traffic approximation and its refinement

The general G/G/1 queueing model is remarkably useful for predicting the performances of various production systems which involve variation in inter-arrival and service time distributions. The exact mathematical calculations developed to predict the performances of systems are often too cumbersome a...

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Bibliographic Details
Main Author: Simanjuntak, Enrico.
Other Authors: School of Mechanical and Aerospace Engineering
Format: Final Year Project
Language:English
Published: 2012
Subjects:
Online Access:http://hdl.handle.net/10356/49993
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Institution: Nanyang Technological University
Language: English
Description
Summary:The general G/G/1 queueing model is remarkably useful for predicting the performances of various production systems which involve variation in inter-arrival and service time distributions. The exact mathematical calculations developed to predict the performances of systems are often too cumbersome and impractical for engineering purposes. On the other hand, explicit developed approximations are unable to cover the complete range of queueing systems. Therefore, current major goal of G/G/1 queues research is to enhance the existing explicit approximations in order to provide a reasonable result, which covers the whole range of arrival intervals and service time distributions.