Optimal replacement for discrete additive damage models: Algorithm |
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Authors: | Shixue Cheng |
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Institution: | (1) College of Information, People’s University of China, 100872 Beijing;(2) The Open Laboratory of Complex Systems Engineering, Institute of Automation, Academia Sinica, 100080 Beijing |
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Abstract: | A system receives shocks at successive random points of discrete time, and each shock causes a positive integer-valued random
amount of damage which accumulates on the system one after another. The system is subject to failure and it fails once the
total cumulative damage level first exceeds a fixed threshold. Upon failure the system must be replaced by a new and identical
one and a cost is incurred. If the system is replaced before failure, a smaller cost is incurred. In previous work, under
some assumptions, we specified a replacement rule which minimizes the long-run (expected) average cost per unit time and possesses
control limit property. In this paper, a general algorithm for such models is developed.
This research has been jointly supported by ITDC, contract No.105-82150 and the National Natural Science Foundation of China. |
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Keywords: | 90B25 60K05 60J10 |
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