Extended optimal replacement model with random minimal repair costs

Sheu Shey-Huei Sheu; William S. Griffith; Nakagawa Toshio Nakagawa

doi:10.1016/0377-2217(93)E0364-4

Extended optimal replacement model with random minimal repair costs

Sheu Shey-Huei Sheu
, William S. Griffith
, Nakagawa Toshio Nakagawa

Dr. Bing Zhang Department of Statistics

Research output: Contribution to journal › Article › peer-review

120 Scopus citations

Abstract

This paper proposes a generalized replacement policy where a system has two types of failures and is replaced at the n-th type I failure (minor failure) or first type II failure (catastrophic failure) or at age T, whichever occurs first. Type I and type II failure are age-dependent. Type I failures are removed by minimal repairs. The cost of the minimal repair of the system at age z depends on the random part C(z) and the deterministic part c(z). The expected cost rate is obtained. The optimal n^* and optimal T^* which would minimize the cost rate are discussed. Various special cases are considered. Finally, a numerical example is given.

Original language	English
Pages (from-to)	636-649
Number of pages	14
Journal	European Journal of Operational Research
Volume	85
Issue number	3
DOIs	https://doi.org/10.1016/0377-2217(93)E0364-4
State	Published - Sep 21 1995

Bibliographical note

Funding Information:
The authorsw ouldlike to thank two anonymourse fereesfo r their valuablec ommentsa nd suggestions which greatlye nhancedth e clarityo f the paper.A ll of their suggestionwse rei ncorporateddi rectlyin the text. The authorst hankP rofessorC .T. Liou, Dean, National Taiwan Instituteo f Technologyf,o r useful discussionsN. umericalworks by Mr. C.M. Kuo are also acknowledgedR. esearchs upportedb y the National Science Council of the Republic of China under Grant NSC 80-0415-E011-15.

Funding

The authorsw ouldlike to thank two anonymourse fereesfo r their valuablec ommentsa nd suggestions which greatlye nhancedth e clarityo f the paper.A ll of their suggestionwse rei ncorporateddi rectlyin the text. The authorst hankP rofessorC .T. Liou, Dean, National Taiwan Instituteo f Technologyf,o r useful discussionsN. umericalworks by Mr. C.M. Kuo are also acknowledgedR. esearchs upportedb y the National Science Council of the Republic of China under Grant NSC 80-0415-E011-15.

Funders	Funder number
National Science Council	NSC 80-0415-E011-15

Keywords

Availability
Maintenance
Optimization
Reliability
Repair
Replacement policy

ASJC Scopus subject areas

General Computer Science
Modeling and Simulation
Management Science and Operations Research
Information Systems and Management

Access to Document

10.1016/0377-2217(93)E0364-4

Cite this

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title = "Extended optimal replacement model with random minimal repair costs",

abstract = "This paper proposes a generalized replacement policy where a system has two types of failures and is replaced at the n-th type I failure (minor failure) or first type II failure (catastrophic failure) or at age T, whichever occurs first. Type I and type II failure are age-dependent. Type I failures are removed by minimal repairs. The cost of the minimal repair of the system at age z depends on the random part C(z) and the deterministic part c(z). The expected cost rate is obtained. The optimal n* and optimal T* which would minimize the cost rate are discussed. Various special cases are considered. Finally, a numerical example is given.",

keywords = "Availability, Maintenance, Optimization, Reliability, Repair, Replacement policy",

author = "\{Shey-Huei Sheu\}, Sheu and Griffith, \{William S.\} and \{Toshio Nakagawa\}, Nakagawa",

note = "Funding Information: The authorsw ouldlike to thank two anonymourse fereesfo r their valuablec ommentsa nd suggestions which greatlye nhancedth e clarityo f the paper.A ll of their suggestionwse rei ncorporateddi rectlyin the text. The authorst hankP rofessorC .T. Liou, Dean, National Taiwan Instituteo f Technologyf,o r useful discussionsN. umericalworks by Mr. C.M. Kuo are also acknowledgedR. esearchs upportedb y the National Science Council of the Republic of China under Grant NSC 80-0415-E011-15.",

year = "1995",

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doi = "10.1016/0377-2217(93)E0364-4",

language = "English",

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T1 - Extended optimal replacement model with random minimal repair costs

AU - Shey-Huei Sheu, Sheu

AU - Griffith, William S.

AU - Toshio Nakagawa, Nakagawa

N1 - Funding Information: The authorsw ouldlike to thank two anonymourse fereesfo r their valuablec ommentsa nd suggestions which greatlye nhancedth e clarityo f the paper.A ll of their suggestionwse rei ncorporateddi rectlyin the text. The authorst hankP rofessorC .T. Liou, Dean, National Taiwan Instituteo f Technologyf,o r useful discussionsN. umericalworks by Mr. C.M. Kuo are also acknowledgedR. esearchs upportedb y the National Science Council of the Republic of China under Grant NSC 80-0415-E011-15.

PY - 1995/9/21

Y1 - 1995/9/21

N2 - This paper proposes a generalized replacement policy where a system has two types of failures and is replaced at the n-th type I failure (minor failure) or first type II failure (catastrophic failure) or at age T, whichever occurs first. Type I and type II failure are age-dependent. Type I failures are removed by minimal repairs. The cost of the minimal repair of the system at age z depends on the random part C(z) and the deterministic part c(z). The expected cost rate is obtained. The optimal n* and optimal T* which would minimize the cost rate are discussed. Various special cases are considered. Finally, a numerical example is given.

AB - This paper proposes a generalized replacement policy where a system has two types of failures and is replaced at the n-th type I failure (minor failure) or first type II failure (catastrophic failure) or at age T, whichever occurs first. Type I and type II failure are age-dependent. Type I failures are removed by minimal repairs. The cost of the minimal repair of the system at age z depends on the random part C(z) and the deterministic part c(z). The expected cost rate is obtained. The optimal n* and optimal T* which would minimize the cost rate are discussed. Various special cases are considered. Finally, a numerical example is given.

KW - Availability

KW - Maintenance

KW - Optimization

KW - Reliability

KW - Repair

KW - Replacement policy

UR - https://www.scopus.com/pages/publications/0029378133

UR - https://www.scopus.com/pages/publications/0029378133#tab=citedBy

U2 - 10.1016/0377-2217(93)E0364-4

DO - 10.1016/0377-2217(93)E0364-4

M3 - Article

AN - SCOPUS:0029378133

SN - 0377-2217

VL - 85

SP - 636

EP - 649

JO - European Journal of Operational Research

JF - European Journal of Operational Research

IS - 3

ER -

Extended optimal replacement model with random minimal repair costs

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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