Issue |
RAIRO-Oper. Res.
Volume 34, Number 2, April June 2000
|
|
---|---|---|
Page(s) | 145 - 154 | |
DOI | https://doi.org/10.1051/ro:2000108 | |
Published online | 15 August 2002 |
An Extended Opportunity-Based Age Replacement Policy
1
Jurusan Teknik Industri,
Institut Teknologi Bandung, Bandung 40132, Indonesia.
2
Department of Information &
Management Science, University of
Marketing & Distribution Sciences, Kobe-shi 651-2188, Japan.
Received:
June
1998
The present study proposes an extended opportunity-based age replacement policy where opportunities occur according to a Poisson process. When the age, x of the system satisfies x < S for a prespecified value S, a corrective replacement is conducted if the objective system fails. In case x satisfies S ≤ x < T for another prespecified value T, we take an opportunity to preventively replace the system by a new one with probability p, and do not take the opportunity with probability 1 - p. At the moment x reaches T, a preventive replacement is executed independently of opportunities. The long-term average cost of the proposed policy is formulated. The conditions under which optimal values for S and T exist for a prespecified value of T and S, respectively, are then clarified. Numerical examples are also presented to illustrate the theoretical underpinnings of the proposed replacement policy formulation.
Key words: Extended opportunity-based age replacement / renewal reward process / long-term average cost / optimal policy.
© EDP Sciences, 2000
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