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Optimal (r,N)‐policy for discrete‐time Geo ∕ G ∕ 1 queue with different input rate and setup time

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  • Chuanyi Luo
  • Yinghui Tang
  • Kaizhi Yu
  • Chuan Ding

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.

Suggested Citation

  • Chuanyi Luo & Yinghui Tang & Kaizhi Yu & Chuan Ding, 2015. "Optimal (r,N)‐policy for discrete‐time Geo ∕ G ∕ 1 queue with different input rate and setup time," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 31(4), pages 405-423, July.
    • Handle: RePEc:wly:apsmbi:v:31:y:2015:i:4:p:405-423
    DOI: 10.1002/asmb.2031
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