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Profit optimisation of the multiple-vacation machine repair problem using particle swarm optimisation

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  • Kuo-Hsiung Wang
  • Cheng-Dar Liou
  • Ya-Lin Wang

Abstract

This paper investigates a multiple-vacation M/M/1 warm-standby machine repair problem with an unreliable repairman. We first apply a matrix-analytic method to obtain the steady-state probabilities. Next, we construct the total expected profit per unit time and formulate an optimisation problem to find the maximum profit. The particle swarm optimisation (PSO) algorithm is implemented to determine the optimal number of warm standbys S* and the service rate μ* as well as vacation rate ν* simultaneously at the optimal maximum profit. We compare the searching results of the PSO algorithm with those of exhaustive search method to ensure the searching quality of the PSO algorithm. Sensitivity analysis with numerical illustrations is also provided.

Suggested Citation

  • Kuo-Hsiung Wang & Cheng-Dar Liou & Ya-Lin Wang, 2014. "Profit optimisation of the multiple-vacation machine repair problem using particle swarm optimisation," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(8), pages 1769-1780, August.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:8:p:1769-1780
    DOI: 10.1080/00207721.2012.757378
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    References listed on IDEAS

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    1. Siva Sivatha Sindhu & S. Geetha & A. Kannan, 2012. "Evolving optimised decision rules for intrusion detection using particle swarm paradigm," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(12), pages 2334-2350.
    2. Naishuo Tian & Zhe George Zhang, 2006. "Vacation Queueing Models Theory and Applications," International Series in Operations Research and Management Science, Springer, number 978-0-387-33723-4.
    3. Cheng-Dar Liou & Yi-Chih Hsieh & Yin-Yann Chen, 2013. "A new encoding scheme-based hybrid algorithm for minimising two-machine flow-shop group scheduling problem," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 77-93.
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    Cited by:

    1. Meena, Rakesh Kumar & Jain, Madhu & Sanga, Sudeep Singh & Assad, Assif, 2019. "Fuzzy modeling and harmony search optimization for machining system with general repair, standby support and vacation," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 858-873.
    2. Madhu Jain & Chandra Shekhar & Rakesh Kumar Meena, 2019. "Performance analysis and control F-policy for fault-tolerant system with working vacation," OPSEARCH, Springer;Operational Research Society of India, vol. 56(2), pages 409-431, June.
    3. Wu, Chia-Huang & Yang, Dong-Yuh & He, Ting-En, 2024. "Matrix-augmentation approach for machine repair problem with generally distributed repair times during working breakdown periods," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 1019-1038.

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