Reliability and Sensitivity Analyses of an Unreliable Retrial Machine Repair System with Warm Standby Switching Failure

Author:

Wang Kuo-Hsiung1,Yen Tseng-Chang2,Wu Chia Huang3ORCID

Affiliation:

1. Department of Business Administration, Asia University, Wufeng, Taichung 41354, Taiwan

2. Department of Applied Mathematics, National Chung-Hsing University, Taichung 40227, Taiwan

3. Department of Industrial and Management, National Yang Ming Chiao Tung University, Hsinchu 30010, Taiwan

Abstract

In this study, an unreliable machine repair system with warm standby switching failure and retrial behavior is examined. An application of the Ceph storage cluster system is described to illustrate the applicability of the proposed model and establish its results. To analyze the reliability of the application system, two-state-transition rate diagrams and their associated differential-difference equations are provided. Laplace transforms and the matrix-analytical method are employed to obtain the steady-state probabilities. Explicit expressions for the reliability function, mean time to failure, and steady-state availability of the examined system are then derived. With these system performance measures, we perform a sensitivity analysis of the system parameters to identify critical variables. Furthermore, the numerical results for various parameter settings are tabulated and presented graphically. Finally, managerial insights and constructive results are provided as a guide for managers in determining an effective strategy for performance enhancement.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Energy Engineering and Power Technology,Aerospace Engineering,Safety, Risk, Reliability and Quality,Nuclear Energy and Engineering,General Computer Science

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Performance Sensitivity Analysis for Machine Repair Problem with Two Failure Modes and Working Vacation;International Journal of Reliability, Quality and Safety Engineering;2024-01-31

2. Intelligent Software Bug Prediction Framework with Parameter-Tuned LSTM with Attention Mechanism Using Adaptive Target-Based Pooling Deep Features;International Journal of Reliability, Quality and Safety Engineering;2023-05-16

3. Optimal reliability allocation of heterogeneous components in pharmaceutical production plant;International Journal on Interactive Design and Manufacturing (IJIDeM);2023-03-01

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