Optimal (r,N)‐policy for discrete‐time Geo ∕ G ∕ 1 queue with different input rate and setup time |
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| Authors: | Chuanyi Luo Yinghui Tang Kaizhi Yu Chuan Ding |
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| Affiliation: | 1. School of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 611130, China;2. School of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China;3. School of statistics, Southwestern University of Finance and Economics, Chengdu 611130, China |
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| Abstract: | 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. |
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| Keywords: | discrete‐time queue (r,N)‐policy different input rate analytical solution optimal operating policy |
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