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This paper considers replacement and maintenance policies for an operating unit which works at random times for jobs. The unit undergoes minimal repairs at failures and is replaced at a planned time *T* or at a number *N* of working times, whichever occurs first. The expected cost rate is obtained, and an optimal policy which minimizes it is derived analytically. The imperfect preventive maintenance (PM) model, where the unit is improved by PM after the completion of each working time, is analyzed. Furthermore, when the work of a job incurs some damage to the unit, the replacement model with number *N* is proposed. The expected cost rate is obtained by using theory of cumulative processes. Two modified models, where the unit is replaced at number *N* or at the first completion of the working time over time *T*, and it is replaced at *T* or number *N*, whichever occurs last, are also proposed. Finally, when the unit is replaced at time *T*, number *N* or *K*th failure, whichever occurs first, the expected cost rate is also obtained.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E93-A No.2 pp.500-507

- Publication Date
- 2010/02/01

- Publicized

- Online ISSN
- 1745-1337

- DOI
- 10.1587/transfun.E93.A.500

- Type of Manuscript
- PAPER

- Category
- Reliability, Maintainability and Safety Analysis

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Mingchih CHEN, Syouji NAKAMURA, Toshio NAKAGAWA, "Replacement and Preventive Maintenance Models with Random Working Times" in IEICE TRANSACTIONS on Fundamentals,
vol. E93-A, no. 2, pp. 500-507, February 2010, doi: 10.1587/transfun.E93.A.500.

Abstract: This paper considers replacement and maintenance policies for an operating unit which works at random times for jobs. The unit undergoes minimal repairs at failures and is replaced at a planned time *T* or at a number *N* of working times, whichever occurs first. The expected cost rate is obtained, and an optimal policy which minimizes it is derived analytically. The imperfect preventive maintenance (PM) model, where the unit is improved by PM after the completion of each working time, is analyzed. Furthermore, when the work of a job incurs some damage to the unit, the replacement model with number *N* is proposed. The expected cost rate is obtained by using theory of cumulative processes. Two modified models, where the unit is replaced at number *N* or at the first completion of the working time over time *T*, and it is replaced at *T* or number *N*, whichever occurs last, are also proposed. Finally, when the unit is replaced at time *T*, number *N* or *K*th failure, whichever occurs first, the expected cost rate is also obtained.

URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E93.A.500/_p

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@ARTICLE{e93-a_2_500,

author={Mingchih CHEN, Syouji NAKAMURA, Toshio NAKAGAWA, },

journal={IEICE TRANSACTIONS on Fundamentals},

title={Replacement and Preventive Maintenance Models with Random Working Times},

year={2010},

volume={E93-A},

number={2},

pages={500-507},

abstract={This paper considers replacement and maintenance policies for an operating unit which works at random times for jobs. The unit undergoes minimal repairs at failures and is replaced at a planned time *T* or at a number *N* of working times, whichever occurs first. The expected cost rate is obtained, and an optimal policy which minimizes it is derived analytically. The imperfect preventive maintenance (PM) model, where the unit is improved by PM after the completion of each working time, is analyzed. Furthermore, when the work of a job incurs some damage to the unit, the replacement model with number *N* is proposed. The expected cost rate is obtained by using theory of cumulative processes. Two modified models, where the unit is replaced at number *N* or at the first completion of the working time over time *T*, and it is replaced at *T* or number *N*, whichever occurs last, are also proposed. Finally, when the unit is replaced at time *T*, number *N* or *K*th failure, whichever occurs first, the expected cost rate is also obtained.},

keywords={},

doi={10.1587/transfun.E93.A.500},

ISSN={1745-1337},

month={February},}

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TY - JOUR

TI - Replacement and Preventive Maintenance Models with Random Working Times

T2 - IEICE TRANSACTIONS on Fundamentals

SP - 500

EP - 507

AU - Mingchih CHEN

AU - Syouji NAKAMURA

AU - Toshio NAKAGAWA

PY - 2010

DO - 10.1587/transfun.E93.A.500

JO - IEICE TRANSACTIONS on Fundamentals

SN - 1745-1337

VL - E93-A

IS - 2

JA - IEICE TRANSACTIONS on Fundamentals

Y1 - February 2010

AB - This paper considers replacement and maintenance policies for an operating unit which works at random times for jobs. The unit undergoes minimal repairs at failures and is replaced at a planned time *T* or at a number *N* of working times, whichever occurs first. The expected cost rate is obtained, and an optimal policy which minimizes it is derived analytically. The imperfect preventive maintenance (PM) model, where the unit is improved by PM after the completion of each working time, is analyzed. Furthermore, when the work of a job incurs some damage to the unit, the replacement model with number *N* is proposed. The expected cost rate is obtained by using theory of cumulative processes. Two modified models, where the unit is replaced at number *N* or at the first completion of the working time over time *T*, and it is replaced at *T* or number *N*, whichever occurs last, are also proposed. Finally, when the unit is replaced at time *T*, number *N* or *K*th failure, whichever occurs first, the expected cost rate is also obtained.

ER -