Extended optimal replacement policy for a system subject to non-homogeneous pure birth shocks
► We study the optimal replacement policy with general repairs. ► Use shocks occurring to a non-homogeneous pure birth process (NHPBP). ► Include two types of failures: type-I failure (minor failure) and type-II failure (catastrophic failure). ► Optimize bivariate replacement policy (n,T) under a co...
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| Published in | Computers & industrial engineering Vol. 64; no. 2; pp. 573 - 579 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Elsevier Ltd
01.02.2013
Pergamon Press Inc |
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| Abstract | ► We study the optimal replacement policy with general repairs. ► Use shocks occurring to a non-homogeneous pure birth process (NHPBP). ► Include two types of failures: type-I failure (minor failure) and type-II failure (catastrophic failure). ► Optimize bivariate replacement policy (n,T) under a cost structure. ► Present numerical examples.
This article studies the optimal replacement policy with general repairs for an operating system subject to shocks occurring to a non-homogeneous pure birth process (NHPBP). A shock causes that the system experiences one of two types of failures: type-I failure (minor failure) is rectified by a general repair, or type-II failure (catastrophic failure) is removed by an unplanned replacement. The probabilities of these two types of failures depend on the number of shocks since the last replacement. We consider a bivariate replacement policy (n,T) under which the system is replaced at planned life age T, or at the nth type-I failure, or at any type-II failure, whichever occurs first. The optimal replacement schedule which minimizes the expected cost rate model is derived analytically and discussed numerically. |
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| AbstractList | ► We study the optimal replacement policy with general repairs. ► Use shocks occurring to a non-homogeneous pure birth process (NHPBP). ► Include two types of failures: type-I failure (minor failure) and type-II failure (catastrophic failure). ► Optimize bivariate replacement policy (n,T) under a cost structure. ► Present numerical examples.
This article studies the optimal replacement policy with general repairs for an operating system subject to shocks occurring to a non-homogeneous pure birth process (NHPBP). A shock causes that the system experiences one of two types of failures: type-I failure (minor failure) is rectified by a general repair, or type-II failure (catastrophic failure) is removed by an unplanned replacement. The probabilities of these two types of failures depend on the number of shocks since the last replacement. We consider a bivariate replacement policy (n,T) under which the system is replaced at planned life age T, or at the nth type-I failure, or at any type-II failure, whichever occurs first. The optimal replacement schedule which minimizes the expected cost rate model is derived analytically and discussed numerically. This article studies the optimal replacement policy with general repairs for an operating system subject to shocks occurring to a non-homogeneous pure birth process (NHPBP). A shock causes that the system experiences one of two types of failures: type-I failure (minor failure) is rectified by a general repair, or type-II failure (catastrophic failure) is removed by an unplanned replacement. The probabilities of these two types of failures depend on the number of shocks since the last replacement. We consider a bivariate replacement policy (n, T) under which the system is replaced at planned life age T, or at the nth type-I failure, or at any type-II failure, whichever occurs first. The optimal replacement schedule which minimizes the expected cost rate model is derived analytically and discussed numerically. [PUBLICATION ABSTRACT] |
| Author | Zhang, Zhe George Chen, Yen-Luan Chang, Chin-Chih Sheu, Shey-Huei |
| Author_xml | – sequence: 1 givenname: Shey-Huei surname: Sheu fullname: Sheu, Shey-Huei email: shsheu@pu.edu.tw, shsheu@mail.ntust.edu.tw organization: Department of Statistics and Informatics Science, Providence University, Taichung 433, Taiwan – sequence: 2 givenname: Yen-Luan surname: Chen fullname: Chen, Yen-Luan email: clchen@mail.takming.edu.tw organization: Department of Marketing Management, Takming University of Science and Technology, Taipei 114, Taiwan – sequence: 3 givenname: Chin-Chih surname: Chang fullname: Chang, Chin-Chih email: ccchang2@pu.edu.tw organization: Department of Statistics and Informatics Science, Providence University, Taichung 433, Taiwan – sequence: 4 givenname: Zhe George surname: Zhang fullname: Zhang, Zhe George email: George.Zhang@wwu.edu organization: Department of Decision Sciences, Western Washington University, Bellingham, WA 98225-9077, USA |
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| Snippet | ► We study the optimal replacement policy with general repairs. ► Use shocks occurring to a non-homogeneous pure birth process (NHPBP). ► Include two types of... This article studies the optimal replacement policy with general repairs for an operating system subject to shocks occurring to a non-homogeneous pure birth... |
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| SubjectTerms | Birth process Failure Maintenance Operating systems Optimization Probability Product life cycle Repair Replacement Shock model Studies |
| Title | Extended optimal replacement policy for a system subject to non-homogeneous pure birth shocks |
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