• Title/Summary/Keyword: Optimal PM

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Optimal Preventive Maintenance Policy for a Repairable System

  • Jung, Ki-Mun
    • Journal of the Korean Data and Information Science Society
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    • v.17 no.2
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    • pp.367-377
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    • 2006
  • This paper develops a periodic preventive maintenance(PM) policy following the expiration of warranty. Two types of warranty are considered: renewing warranty and non-renewing warranty. Also, we consider the situation where each PM cost is an increasing function of the PM effect. We determine the optimal number of PM's before replacing the system by a new one and the optimal length of period for the periodic PM following the expiration of warranty. Explicit solutions to determine the optimal periodic PM are presented for the Weibull distribution case.

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Optimal Periodic Preventive Maintenance with Improvement Factor (개선지수를 고려한 주기적 예방보전의 최적화에 관한 연구)

  • Jae-Hak Lim
    • Journal of Korean Society for Quality Management
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    • v.31 no.3
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    • pp.193-204
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    • 2003
  • In this paper, we consider a periodic preventive maintenance(PM) policy in which each PM reduces the hazard rate but remains the pattern of hazard rate unchanged. And the system undergoes only minimal repairs at failures between PM's. The expected cost rate per unit time is obtained. The optimal number N of PM and the optimal period x, which minimize the expected cost rate per unit time are discussed. Explicit solutions for the optimal periodic PM are given for the Weibull distribution case.

Optimal Periodic PM Schedules Under $ARI_1$ Model with Different Pattern of Wear-Out Speed

  • Lim Jae-Hak
    • Proceedings of the Korean Reliability Society Conference
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    • 2005.06a
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    • pp.121-129
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    • 2005
  • In this paper, we consider a periodic preventive maintenance(PM) policy in which each PM reduces the hazard rate of amount proportional to the failure intensity, which increases since the last PM and slows down the wear-out speed to that of new one. And the proportion of reduction in hazard rate decreases with the number of PMs. Our model is similar to $ARI_1$ proposed by Doyen and Gaudoin(2004) in the sense of reduction of hazard rate. Our model has totally different wear-out pattern of hazard rate after PM's, however, and the proportion of reduction depends on the number of PM's. Assuming that the system undergoes only minimal repairs at failures between PM's, the expected cost rate per unit time is obtained. The optimal number N of PM and the optimal period x, which minimize the expected cost rate per unit time are discussed. Explicit solutions for the optimal periodic PM are given for the Weibull distribution case.

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Optimal Preventive Maintenance Policy Based on Aperiodic Model

  • Kim, Hee-Soo;Yum, Joon-Keun;Park, Dong-Ho
    • Proceedings of the Korean Reliability Society Conference
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    • 2000.11a
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    • pp.335-342
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    • 2000
  • Preventive maintenance(PM) is an action taken on a repairable system while it is still operating, which needs to be carried out in order to keep the system at the desired level of successful operation. The PM improves the reliability of the system by predicting the possible failures and thereby preventing such failures from its occurrence. In this paper, we develop the optimal preventive maintenance policies based on the aperiodic PM model. We investigate an aperiodic preventive maintenance policy and propose several optimal PM policies which minimize the expected cost over an infinite time span. Park, Jung and Yum(2000) determine the optimal period and the optimal number of PMs based on Canfield's(1986) periodic model. Our techniques to derive the optimal preventive maintenance policies based on our aperiodic PM model is similar to those in Park, Jung and Yum(2000), which can be considered as the special case of our results.

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Optimization of Cost and Downtime for Periodic PM Model Following the Expiration of Warranty

  • Jung, Ki-Mun
    • Journal of the Korean Data and Information Science Society
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    • v.19 no.2
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    • pp.587-596
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    • 2008
  • This paper develops the optimal periodic preventive maintenance policies following the expiration of warranty: renewing warranty and non-renewing warranty. After the warranty period is expired, the system undergoes the PM periodically and is minimally repaired at each failure between two successive PMs. Firstly, we determine the expected cost rate per unit time and the expected downtime per unit time for the periodic PM model. Then the overall value function suggested by Jiang and Ji(2002) is applied to obtain the optimal PM period and the optimal PM number. Finally, the numerical examples are presented for illustrative purpose.

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Topology Optimal Interior Permanent Magnet Machine to Improve the Utilization Ratio of Permanent Magnet (영구자석 사용 효율 향상을 위한 IPM 전동기의 최적 토폴로지)

  • Tao, Xu;Zhang, Dianhai;Zhu, Lixun;Koh, Chang-Seop
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.862-863
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    • 2015
  • This paper presents an improved estimation procedure for the contribution to no-load flux linkage created by the permanent magnet (PM) in interior permanent magnet synchronous machines. In the proposed method, the saturation effect in stator and rotor cores are taken into account by utilizing the frozen permeability method (FPM). This improved procedure can evaluate the contribution for each local element in the PM to the no-load flux linkage. According to the analysis results, an effective PM topology optimal design can be carried out to achieve high utilization ratio of PM in the machine. In order to determine the threshold of the low contribution of PM for removing, one multi-objective optimization model is proposed. Based on the optimal threshold, the final optimal topology design of PM can be achieved.

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Bayesian Method on Sequential Preventive Maintenance Problem

  • Kim Hee-Soo;Kwon Young-Sub;Park Dong-Ho
    • Communications for Statistical Applications and Methods
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    • v.13 no.1
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    • pp.191-204
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    • 2006
  • This paper develops a Bayesian method to derive the optimal sequential preventive maintenance(PM) policy by determining the PM schedules which minimize the mean cost rate. Such PM schedules are derived based on a general sequential imperfect PM model proposed by Lin, Zuo and Yam(2000) and may have unequal length of PM intervals. To apply the Bayesian approach in this problem, we assume that the failure times follow a Weibull distribution and consider some appropriate prior distributions for the scale and shape parameters of the Weibull model. The solution is proved to be finite and unique under some mild conditions. Numerical examples for the proposed optimal sequential PM policy are presented for illustrative purposes.

Workspace Optimal Design of Parallel Mechanisms Reflecting the Singularity Locations (특이형상의 위치를 고려한 병렬 기구의 작업공간 최적설계)

  • Kang, Jae-Koo;Kim, Whee-Kuk
    • The Journal of Korea Robotics Society
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    • v.7 no.2
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    • pp.101-112
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    • 2012
  • It is well-known that when singularities are located within the workspace of the parallel mechanism (PM), the usefulness of its workspace is significantly deteriorated. To handle this problem, we suggest an optimal design method which leads to more useful and larger workspace of the PM by taking its singularity locations into consideration in design process. Kinematic models of three selected planar PMs, a 5R type PM, a 3-RPR type planar PM, and a 3-RRR type planar PM, are derived via screw theory and their singularity analyses are conducted. Then workspace optimal designs for those three PMs are conducted to verify that the suggested design method leads more useful and larger workspace in which deterioration by singularity is minimal.

Optimal Preventive Maintenance Policy with Cost-dependent Improvement Factor (비용 종속적인 개선지수를 고려한 최적 예방보전 정책)

  • Hong, Seok-Soo;Park, Jong-Hun;Lie, Chang-Hoon
    • Journal of Korean Institute of Industrial Engineers
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    • v.36 no.2
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    • pp.108-116
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    • 2010
  • The maintenance of a deteriorating system is often imperfect. Previous studies have shown that the imperfect preventive maintenance (PM) can reduce the wear out and aging effects of deteriorating systems to a certain level between the conditions of as good as new and as bad as old. In this paper, we employ the concept of the improvement factor in investigating two optimal PM policies; failure limit policy and periodic PM policy. We redefine the improvement factor model as a function of the cost of PM, using this concept, we derive the conditions of optimal PM policies and formulate expressions to compute the expected cost rate. Based on this information, the determination of the maintenance policies which minimize the cost rate is examined. Numerical examples for the Weibull distribution case are also given.

Optimal Preventive Maintenance Policy for a Repairable System (수리 가능한 시스템에서의 최적 예방 보전 정책)

  • Ji Hwan Cha;Jong Tae Jung;Jae Joo Kim
    • Journal of Korean Society for Quality Management
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    • v.29 no.2
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    • pp.46-53
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    • 2001
  • In this paper, a preventive maintenance(PM) policy for a repairable system is considered. The failure rate model proposed by Park et at.(2000) is generalized by assuming that after each PM not only the PM slows down the degradation process of the system but also reduces down the system failure rate by a certain fixed amount. Long-run expected cost rate of the PM policy is derived and the properties of joint solution of the optimal PM period and optimal number of PM which minimizes the expected cost rate are obtained. Numerical examples for the case of a Weibull-type failure rate are given.

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