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<p>This paper considers a comprehensive study of the parallel system, accounting for repairing failed components and order for replenishment. Accordingly, the system under consideration forms a Reliability-Queueing-Inventory system. The system consists of identical components whose lifetimes are independent. The parallel system is studied under three cases, considering the stages at which the repair of failed components and order for replenishment realizations. Using the difference-differential equations, we derive the steady-state probabilities explicitly. We calculate various significant performance metrics of the system and compare the corresponding numerical results to analyze the most reliable system. We examine additional reliability measures like the distribution of the duration until the first failure and the distribution of time during which the repair facility is continuously available for all the cases. Further, we explore optimization problems in detail and then compare the results to identify a cost-effective system with high reliability.</p>

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Strategic Maintenance Approaches for Enhanced Reliability in Parallel System

  • 期刊论文

  • 发表日期：

    2025年1月8日

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  • R. Akhil Vijayan,
  • P. S. Arya,
  • Manikandan Rangaswamy

摘要

This paper considers a comprehensive study of the parallel system, accounting for repairing failed components and order for replenishment. Accordingly, the system under consideration forms a Reliability-Queueing-Inventory system. The system consists of identical components whose lifetimes are independent. The parallel system is studied under three cases, considering the stages at which the repair of failed components and order for replenishment realizations. Using the difference-differential equations, we derive the steady-state probabilities explicitly. We calculate various significant performance metrics of the system and compare the corresponding numerical results to analyze the most reliable system. We examine additional reliability measures like the distribution of the duration until the first failure and the distribution of time during which the repair facility is continuously available for all the cases. Further, we explore optimization problems in detail and then compare the results to identify a cost-effective system with high reliability.