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Geometric Processes and Replacement ProblemActa Mathematicae Applicatae Sinica, 4
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H. Ascher, H. Feingold (1984)
Repairable Systems Reliability
- Publisher
- Springer Journals
- Copyright
- Copyright © 1992 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
- Subject
- Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/BF02006074
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we study the geometric process replacement model as follows: the successive survival times of the system form a nonincreasing geometric process while the consecutive repair times of the system constitute a non-decreasing geometric process, and the system is replaced at the time of theNth failure after its installation or last replacement. Based on the long-run average cost per unit time, we determine the optimal replacement policyN* show the uniquess of the policyN* and discuss its monotonicity.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 13, 2005