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Optimal number of minimal repairs before replacement of a system subject to shocks
Author(s) -
Sheu SheyHuei,
Griffith William S.
Publication year - 1996
Publication title -
naval research logistics (nrl)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 68
eISSN - 1520-6750
pISSN - 0894-069X
DOI - 10.1002/(sici)1520-6750(199604)43:3<319::aid-nav1>3.0.co;2-c
Subject(s) - poisson process , catastrophic failure , type (biology) , computer science , mathematics , poisson distribution , statistics , materials science , ecology , biology , composite material
A system is subject to shocks that arrive according to a nonhomogeneous Poisson process. As shocks occur a system has two types of failures. Type 1 failure (minor failure) is removed by a minimal repair, whereas type 2 failure (catastrophic failure) is removed by replacement. The probability of a type 2 failure is permitted to depend on the number of shocks since the last replacement. A system is replaced at the times of type 2 failure or at the n th type 1 failure, whichever comes first. The optimal policy is to select n * to minimize the expected cost per unit time for an infinite time span. A numerical example is given to illustrate the method. © 1996 John Wiley & Sons, Inc.