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Two-stage Inspection Model Based on a three-stage failure process

Journal of Donghua University(English Edition) 2016年第2期33卷 215-218页

作者：杨瑞锋康建设王广彦 Department of Management Engineering Mechanical Engineering College

As the non-periodic inspections are common in practice,a two-stage inspection model based on a three-stage failure process is proposed. The two-stage inspection means that the system is inspected with the first inspection interval T_1 and the second inspection interval T_2. Because of the three color schemes commonly used in industry,three stages are divided by the system lifetime:normal, minor defective and severe defective stages. Upon the failure of the system,replacement is carried out. Maintenance is done once identifying the severe defective stage. However,when the minor defective stage is identified by the second inspection interval T_2,action of halving the subsequent inspection interval is adopted.Otherwise,no action is required. Our objective function is to optimize the inspection intervals so as to minimize the expected cost per unit time. Finally,a numerical example is presented to illustrate the effectiveness of the proposed model.

关键词： delay time two-stage inspection three-stage failure process preventive maintenance(PM)

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Joint optimization of inspection-based and age-based preventive maintenance and spare ordering policies for single-unit systems

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Journal of Systems Engineering and Electronics 2022年第5期33卷 1268-1280页

作者： MA Weining ZHAO Fei LI Xin HU Qiwei SHANG Bingcong Department of Equipment Command and Management Shijiazhuang Campus Army Engineering UniversityShijiazhuang 050003China School of Business Administration Northeastern UniversityShenyang 110057China Northeastern University at Qinhuangdao Qinhuangdao 066099China

This paper presents a joint optimization policy of preventive maintenance(PM)and spare ordering for single-unit systems,which deteriorate subject to the delay-time concept with three deterioration stages.PM activities that combine a non-periodic inspection scheme with age-replacement are implemented.When the system is detected to be in the minor defective stage by an inspection for the first time,place an order and shorten the inspection interval.If the system has deteriorated to a severe defective stage,it is either repaired imperfectly or replaced by a new spare.However,an immediate replacement is required once the system fails,the maximal number of imperfect maintenance(IPM)is satisfied or its age reaches to a pre-specified threshold.In consideration of the spare’s availability as needed,there are three types of decisions,i.e.,an immediate or a delayed replacement by a regular ordered spare,an immediate replacement by an expedited ordered spare with a relative higher cost.Then,some mutually independent and exclusive renewal events at the end of a renewal cycle are discussed,and the optimization model of such a joint policy is further developed by minimizing the long-run expected cost rate to find the optimal inspection and age-replacement intervals,and the maximum number of IPM.A Monte-Carlo based integration method is also designed to solve the proposed model.Finally,a numerical example is given to illustrate the proposed joint optimization policy and the performance of the Monte-Carlo based integration method.

关键词： maintenance optimization imperfect maintenance(IPM) three-stage failure process spare ordering

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Joint optimization of inspection, maintenance, and spare ordering policy considering defective products loss

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Journal of Systems Engineering and Electronics 2021年第5期32卷 1167-1179页

作者： HAN Mengying YANG Jianhua ZHAO Xiao School of Economics and Management University of Science and Technology BeijingBeijing 100083China Beijing Enter-prise Low-Carbon Operation Strategy Research Base University of Science and Technology BeijingBeijing 100083China School of Business Hebei University of Economics and BusinessShijiazhuang 050061China

This paper proposes a joint inspection-based maintenance and spare ordering optimization policy that considers the problem of integrated inspection,preventive maintenance,spare ordering,and quality control for a four-state single-unit manufacturing system.When an inspection detects a minor defect,a second phase inspection is initiated and a regular order is placed.Product quality begins to deteriorate when the system undergoes a severe defect.To counter this,an advanced replacement of the minor defective system is carried out at the Jth second phase inspection.If a severe defect is recognized prior to the Jth inspection,or if system failure occurs,preventive or corrective replacement is executed.The timeliness of replacement depends on the availability of spare.We adopt two modes of ordering:a regular order and an emergency order.Meanwhile,a threshold level is introduced to determine whether an emergency order is preferred even when the regular order is already ordered but has not yet arrived.The optimal joint inspection-based maintenance and spare ordering policy is formulated by minimizing the expected cost per unit time.A simulation algorithm is proposed to obtain the optimal two-phase inspection interval,threshold level and advanced replacement interval.Results from several numerical examples demonstrate that,in terms of the expected cost per unit time,our proposed model is superior to some existing models.

关键词： maintenance two-phase inspection spare ordering three-stage failure process delay-time model

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