A geometric process model for deteriorating operating system with periodic and random inspections. Issue 3 (3rd July 2017)

• Record Type: Journal Article
• Authors: Yue, Dequan; Gao, Qiaoqiao
• Is Part Of: Quality technology & quantitative management. Volume 14:Issue 3(2017)
• Page Start: 269
• Page End: 279
• Publication Date: 2017-07-03
• Subjects: Geometric process -- periodic inspection -- random inspection -- preventive repair -- expected cost; Quality control -- Periodicals; Quality control -- Statistical methods -- Periodicals; Industrial management -- Periodicals; Industrial management; Management -- Research -- Methodology -- Periodicals; Qualitative research -- Periodicals; Management; Quality control; Quality control -- Statistical methods; Periodicals; 658.00721
• DOI: 10.1080/16843703.2016.1208933
• Languages: English
• ISSNs: 1684-3703

Abstract

Abstract : In this paper, we consider a deteriorating operating system which executes a job with random working times. It is assumed that the working times form a geometric process. In Model 1, the system is checked at periodic times and also at every completion of working times to detect the failures. In Model 2, we extend Model 1 by further assuming that a preventive repair is taken when the failure is not found by periodic inspection. For both models, the explicit expressions of the total expected cost until the detection of the failure are obtained. The optimal periodic inspection policies are computed numerically.