Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 217, Issue 10, Pages 4980-4989Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2010.11.048
Keywords
Reliability; Multiple vacations; Geometric process; Optimal replacement policy; Supplementary variable
Categories
Funding
- National Natural Science of China [11032009]
- National Science Foundation for Distinguished Young Scholars of China [10625211]
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This paper considers a repairable system with a repairman, who can take multiple vacations. If the system fails and the repairman is on vacation, it will wait for repair until the repairman is available. Assume that the system cannot be repaired as good as new after failures. Under these assumptions, using the geometric process and the supplementary variable technique, some important reliability indexes are derived, such as the system reliability, availability, rate of occurrence of failures, etc. According to the renewal reward theorem, the explicit expression of the expected profit per unit time is obtained. Finally, a numerical example is given to illustrate that there exists an optimal replacement policy N*, which maximizes the value of the expected profit rate after a long time run. (c) 2010 Elsevier Inc. All rights reserved.
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