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

Wu, Shaomin (2011) Optimal Inspection Policy for Three-state Systems Monitored by Variable Sample Size Control Charts. International Journal of Advanced Manufacturing Technology, 55 (5-8). pp. 689-697. ISSN 0268-3768. (doi:10.1007/s00170-010-3091-7) (KAR id:31999)

Abstract

This paper presents the expected long-run cost per unit time for a system monitored by an adaptive control chart with variable sample sizes: if the control chart signals that the system is out of control, the sampling which follows will be conducted with a larger sample size. The system is supposed to have three states: in-control, out-of-control, and failed. Two levels of repair are applied to maintain the system. A minor repair will be conducted if an assignable cause is confirmed by an inspection, and a major repair will be performed if the system fails. Both the minor and major repairs are assumed to be perfect. We derive the expected long-run cost per unit time, which can be used to obtain the optimal inspection policy. Numerical examples are conducted to validate the derived cost.

Item Type: Article
DOI/Identification number: 10.1007/s00170-010-3091-7
Uncontrolled keywords: Adaptive control chart, Control chart, Maintenance policy, Multistate system, Quality control, Repairable system, Adaptive control charts, Control chart, Maintenance policy, Multistate system, Repairable systems, Flowcharting, Inspection, Optimization, Repair, Sampling, Statistical process control, Adaptive control systems
Subjects: H Social Sciences
H Social Sciences > HA Statistics > HA33 Management Science
Divisions: Divisions > Kent Business School - Division > Department of Analytics, Operations and Systems
Depositing User: Shaomin Wu
Date Deposited: 26 Oct 2012 15:35 UTC
Last Modified: 16 Nov 2021 10:09 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/31999 (The current URI for this page, for reference purposes)

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