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Optimal ( r , N )‐policy for discrete‐time Geo ∕ G ∕ 1 queue with different input rate and setup time
Author(s) -
Luo Chuanyi,
Tang Yinghui,
Yu Kaizhi,
Ding Chuan
Publication year - 2014
Publication title -
applied stochastic models in business and industry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.413
H-Index - 40
eISSN - 1526-4025
pISSN - 1524-1904
DOI - 10.1002/asmb.2031
Subject(s) - queue , combinatorics , value (mathematics) , mathematics , burke's theorem , computer science , mathematical optimization , algorithm , discrete mathematics , statistics , queue management system , fork–join queue , computer network
This paper presents a queue‐length analysis of Geo ∕ G ∕ 1 queue with ( r , N )‐policy and different input rate. Using a different method, the recursive expressions of queue‐length distribution at different epochs are obtained. Furthermore, some performance measures are also investigated. Finally, the Tabu search algorithm is used to search the joint optimum value of ( r , N ), which minimizes the state‐dependent operating cost. Copyright © 2014 John Wiley & Sons, Ltd.