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Some properties and computational results for a general repair process

โœ Scribed by J. S. Dagpunar


Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
129 KB
Volume
45
Category
Article
ISSN
0894-069X

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โœฆ Synopsis


We consider a general repair process where the virtual age V i after the ith repair is given by V i ร… f(V i01 / X i ), f(r) is a specified repair functional, and X i is the time between the (i 0 1)th and ith repair. Some monotonicity and dominance properties are derived, and an equilibrium process is considered. A computational method for evaluating the expected number/density of repairs is described together with an approximation method for obtaining some parameters of the equilibrium process.


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We consider a component which undergoes instantaneous general repairs on failure. Suppose that , where V i is the virtual age immediately after the ith failure, Y i is the time between the (i -1)th and ith failures, (โ€ข) is a specified repair functional, and V 0 = s. We derive integral equations for