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A note on replacement policy for a system subject to non-homogeneous pure birth shocks |
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| Authors: | Shey-Huei Sheu Chin-Chih Chang Yu-Hung Chien |
| Institution: | a Department of Statistics and Informatics Science, Providence University, Taichung 433, Taiwan, ROC b Department of Industrial Management, National Taiwan University of Science and Technology, Taipei 106, Taiwan, ROC c Department of Decision Sciences, Western Washington University, Bellingham, WA 98225-9077, USA d Beedie School of Business, Simon Fraser University, Burnaby, BC, Canada V5A 1S6 e Department of Applied Statistics, National Taichung Institute of Technology, Taichung 404, Taiwan, ROC |
| Abstract: | A system is subject to shocks that arrive according to a non-homogeneous pure birth process. As shocks occur, the system has two types of failures. Type-I failure (minor failure) is removed by a general repair, whereas type-II failure (catastrophic failure) is removed by an unplanned replacement. The occurrence of the failure type is based on some random mechanism which depends on the number of shocks occurred since the last replacement. Under an age replacement policy, a planned (or scheduled) replacement happens whenever an operating system reaches age T. The aim of this note is to derive the expected cost functions and characterize the structure of the optimal replacement policy for such a general setting. We show that many previous models are special cases of our general model. A numerical example is presented to show the application of the algorithm and several useful insights. |
| Keywords: | Maintenance Optimization Reliability Repair Age replacement Birth process |
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