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Optimal geometric process replacement model

Optimal geometric process replacement model 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Optimal geometric process replacement model

Acta Mathematicae Applicatae Sinica , Volume 8 (1) – Jul 13, 2005

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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 SinicaSpringer Journals

Published: Jul 13, 2005

References