Optimal control policy for replacements involving two machines and one repairman /
| Main Author: | |
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| Other Authors: | , , |
| Format: | Thesis Book |
| Language: | English |
| Published: |
1989.
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| Subjects: | |
| Online Access: | Link to OAKTrust copy |
| Abstract: | There has been a great deal of research involving the optimal replacement of stochastically deteriorating equipment and queueing systems with a finite calling population. However, there has been a lack of research combining these two areas that consider optimal replacement for a fixed number of machines and a limited number of repairmen. In this research, an optimal control policy for replacement involving two machines and one repairman is developed by investigating a class of age replacement policies in the context of controlling a G/M/1 queueing system with a finite calling population. The control policy to be imposed on this problem is an age-dependent control policy, described by the control limit t*. The control limit is operational only when the repairman is idle; that is, if both machines are working, and a machine reaches the age t* it is taken out of service for replacement. We obtain an e-optimal control age which will minimize the long-run average system cost. An algorithm is developed that is applicable to general failure time distributions and cost functions. The algorithm does not require unimodality of the objective function for implementation. |
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| Item Description: | Typescript (photocopy). Vita. "Major subject: Industrial engineering." |
| Physical Description: | ix, 87 leaves : illustrations ; 29 cm |
| Bibliography: | Includes bibliographical references. |