A delay time model for a mission-based system subject to periodic and random inspection and postponed replacement. (June 2016)

• Record Type: Journal Article
• Authors: Yang, Li; Ma, Xiaobing; Zhai, Qingqing; Zhao, Yu
• Is Part Of: Reliability engineering & system safety. Volume 150(2016:Jun.)
• Page Start: 96
• Page End: 104
• Publication Date: 2016-06
• Subjects: Maintenance modeling -- Delay time -- Periodic and random inspection -- Postponed replacement -- Expected cost per unit time; Reliability (Engineering) -- Periodicals; System safety -- Periodicals; Industrial safety -- Periodicals; Fiabilité -- Périodiques; Sécurité des systèmes -- Périodiques; Sécurité du travail -- Périodiques; 620.00452
• DOI: 10.1016/j.ress.2016.01.016
• Languages: English
• ISSNs: 0951-8320

Abstract

Abstract: We propose an inspection and replacement policy for a single component system that successively executes missions with random durations. The failure process of the system can be divided into two states, namely, normal and defective, following the delay time concept. Inspections are carried out periodically and immediately after the completion of each mission (random inspections). The failed state is always identified immediately, whereas the defective state can only be revealed by an inspection. If the system fails or is defective at a periodic inspection, then replacement is immediate. If, however, the system is defective at a random inspection, then replacement will be postponed if the time to the subsequent periodic inspection is shorter than a pre-determined threshold, and immediate otherwise. We derive the long run expected cost per unit time and then investigate the optimal periodic inspection interval and postponement threshold. A numerical example is presented to demonstrate the applicability of the proposed maintenance policy. Highlights: A delay time model of inspection is introduced for mission-based systems. Periodic and random inspections are performed to check the state. Replacement of the defective system at a random inspection can be postponed.