Application of fuzzy system on a server-dependent queue modeled with empirical bayesian estimation

Pei Chun Lin, Jenhung Wang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This study presents a fuzzy system by collecting membership function and rules based on a decision model that uses empirical Bayesian estimation to construct a server-dependent M/M/2/L queue. A Markovian queue of finite capacity in which the number of servers depends upon queue length is considered. First, data on the interarrival times and service times are collected by observing a queuing system, and the empirical Bayesian method is adopted to estimate its server utilization. Second, the costs are associated with the operation of the second server and the waiting of customers, to establish a cost minimization model to determine the optimal number of customers in the system to activate the second server (N), and the optimal number of customers in system to deactivate the second server (Q). The decision model provides knowledge to construct rules used in a fuzzy inference system. The MATLAB Fuzzy Inference Toolbox is used to construct a fuzzy system to aid management in determining when to initiate the second server and when to turn it off, according to specific parameters.

Original languageEnglish
Title of host publicationNew Trends in Applied Artificial Intelligence - 20th International Conference on Industrial, Engineering, and Other Applications of Applied Intelligent Systems, lEA/AlE 2007, Proceedings
PublisherSpringer Verlag
Pages270-279
Number of pages10
ISBN (Print)9783540733225
DOIs
Publication statusPublished - 2007 Jan 1
Event20th International Conference on Industrial, Engineering, and Other Applications of Applied Intelligent Systems, lEA/AlE-2007 - Kyoto, Japan
Duration: 2007 Jun 262007 Jun 29

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4570 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other20th International Conference on Industrial, Engineering, and Other Applications of Applied Intelligent Systems, lEA/AlE-2007
CountryJapan
CityKyoto
Period07-06-2607-06-29

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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