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Grey wolf algorithm for cost optimization of cloud computing repairable system with N-policy, discouragement and two-level Bernoulli feedback

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  • Chahal, Parmeet Kaur
  • Kumar, Kamlesh
  • Soodan, Bhavneet Singh

Abstract

With the increasing reliance on cloud computing as the foundational infrastructure for technological operations, the urgency and efficacy with which failed virtual machines can be successfully repaired earns significant weight. In this study, we have presented a queueing model that analyzes the repair process of failed virtual machines in cloud computing system. This model includes various important components, such as control N-policy, server unreliability, discouragement behavior of failed virtual machines (like balking and reneging), retention of reneged machines, redundancy, and two-level Bernoulli feedback. A steady-state performance analysis has been performed. The proposed model provides practical suggestions for cloud service providers to improve the reliability and availability of their services, which insights more than theoretical frameworks. This study is unique in the field of queueing models of cloud computing machining environment, as it incorporates parallel consideration of control N policies, balking, reneging, retention, server vacation, two-level Bernoulli feedback and unreliable server behavior. A thorough examination of the behavior of key performance indicators has been conducted and presented using detailed graphical representations. In addition, a cost function is formulated for the proposed model. Further, the Grey Wolf Optimization (GWO) and Particle Swarm Optimization (PSO) techniques are utilized to optimize the total cost function, thereby gaining valuable insights into the system’s behavior across various conditions as well as to compare the outcomes of GWO and PSO.

Suggested Citation

  • Chahal, Parmeet Kaur & Kumar, Kamlesh & Soodan, Bhavneet Singh, 2024. "Grey wolf algorithm for cost optimization of cloud computing repairable system with N-policy, discouragement and two-level Bernoulli feedback," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 545-569.
    • Handle: RePEc:eee:matcom:v:225:y:2024:i:c:p:545-569
    DOI: 10.1016/j.matcom.2024.06.005
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    References listed on IDEAS

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    1. Rani, Shobha & Jain, Madhu & Meena, Rakesh Kumar, 2023. "Queueing modeling and optimization of a fault-tolerant system with reboot, recovery, and vacationing server operating under admission control policy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 408-425.
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    6. Ritu Gupta & Divya Agarwal, 2021. "Cost analysis of N-policy vacation machine repair problem with optional repair," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 19(3), pages 354-374.
    7. Sudeep Kumar & Ritu Gupta, 2023. "Reliability analysis of N-policy vacation based FTC system subject to standby switching failures," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(2), pages 53-80.
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