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A queueing model for an automatic manufacturing system with disasters, breakdowns and vacations. Optimal design and analysis

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  • Nada Riheb Yatim
  • Amina Angelika Bouchentouf
  • Pikkala Vijaya Laxmi

Abstract

We study a queueing model with disasters, working breakdowns, balking, reneging, and vacations. This is a novel and realistic queueing model that captures the complex dynamics and behaviors of an automatic manufacturing system (AMS) with various uncertainties and disruptions. The system loses all customers when a disaster occurs and repairs start immediately. New customers get slower service during breakdowns. We use matrix methods to find the system’s steady state along with performance measures like the expected number of customers lost, the expected waiting time, and system reliability. We also optimize the system parameters (system capacity, number of servers, service rates) to minimize the cost function using a combined direct search method and quasi-Newton method. Our results can enhance the AMS’s performance, profit, and customer satisfaction.

Suggested Citation

  • Nada Riheb Yatim & Amina Angelika Bouchentouf & Pikkala Vijaya Laxmi, 2024. "A queueing model for an automatic manufacturing system with disasters, breakdowns and vacations. Optimal design and analysis," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 34(4), pages 231-250.
    • Handle: RePEc:wut:journl:v:34:y:2024:i:4:p:231-250:id:13
    DOI: 10.37190/ord240413
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    References listed on IDEAS

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    1. Mouloud Cherfaoui & Amina Angelika Bouchentouf & Mohamed Boualem, 2023. "Modelling and simulation of Bernoulli feedback queue with general customers' impatience under variant vacation policy," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 46(4), pages 451-480.
    2. Amina Angelika Bouchentouf & Mouloud Cherfaoui & Mohamed Boualem, 2019. "Performance and economic analysis of a single server feedback queueing model with vacation and impatient customers," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 300-323, March.
    3. Stephen C. Graves, 1982. "The Application of Queueing Theory to Continuous Perishable Inventory Systems," Management Science, INFORMS, vol. 28(4), pages 400-406, April.
    4. 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.
    5. Mustafa Demircioglu & Herwig Bruneel & Sabine Wittevrongel, 2021. "Analysis of a Discrete-Time Queueing Model with Disasters," Mathematics, MDPI, vol. 9(24), pages 1-22, December.
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