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Optimal Inspection Policy for Three-state Systems Monitored by Control Charts

Wu, Shaomin, Wang, Wenbin (2011) Optimal Inspection Policy for Three-state Systems Monitored by Control Charts. Applied Mathematics and Computation, 217 (23). pp. 9810-9819. ISSN 0096-3003. (doi:10.1016/j.amc.2011.04.075) (KAR id:31998)

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Official URL
http://dx.doi.org/10.1016/j.amc.2011.04.075

Abstract

This paper presents the formulations of the expected long-run cost per time unit for a system monitored by a static control chart and by an adaptive control chart respectively. The static chart has a fixed sampling interval and a fixed sample size. The adaptive chart has a fixed sample size but variable sampling intervals. The system is supposed to have three states, normal working state, failure delay time state, and failed state. Two levels of repair are used to maintain the system. A minor repair is used to restore the system if a detectable defect is confirmed by an inspection. A major repair will be performed if the system fails. The expected cost per time unit for maintaining such a system is obtained. The objective of such analysis is to find an optimal sampling policy for the inspection process. An artificially generated data example and a real data example are used to compare the expected cost per time unit for both the static and adaptive control charts. © 2011 Elsevier Inc. All rights reserved.

Item Type: Article
DOI/Identification number: 10.1016/j.amc.2011.04.075
Additional information: Unmapped bibliographic data: PY - 2011/// [EPrints field already has value set] AD - School of Applied Sciences, Cranfield University, Bedfordshire MK43 0AL, United Kingdom [Field not mapped to EPrints] AD - Salford Business School, University of Salford, Salford M45 4WT, United Kingdom [Field not mapped to EPrints] AD - School of Economics and Management, Beijing University of Science and Technology, Beijing, China [Field not mapped to EPrints] JA - Appl. Math. Comput. [Field not mapped to EPrints]
Uncontrolled keywords: Condition-based maintenance, Control chart, Inspection policy, Maintenance policy, Multi-state system, Condition based maintenance, Control chart, Inspection policy, Maintenance policy, Multi-state system, Flowcharting, Inspection, Optimization, Repair, Sampling, Adaptive control systems
Subjects: H Social Sciences
H Social Sciences > HA Statistics
H Social Sciences > HA Statistics > HA33 Management Science
Divisions: Divisions > Kent Business School - Division > Kent Business School (do not use)
Depositing User: Shaomin Wu
Date Deposited: 26 Oct 2012 15:32 UTC
Last Modified: 16 Feb 2021 12:43 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/31998 (The current URI for this page, for reference purposes)
Wu, Shaomin: https://orcid.org/0000-0001-9786-3213
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