• 제목/요약/키워드: expected time to failure

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2차원 무료 보증이 종료된 이후의 보전정책 (Maintenance Policies Following the Expiration of Two-Dimensional Free Replacement Warranty)

  • 김호균
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제15권1호
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    • pp.6-11
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    • 2015
  • Maintenance plays an important role in keeping product availability, reliability and quality at an appropriate level. In this paper, two-types of maintenance policies are studied following the expiration of two-dimensional (2D) free replacement warranty. Both the fixed-maintenance-period policy and the variable-maintenance-period policy are based on a specified region of the warranty defined in terms of age and usage where all failures are minimally repaired. An accelerating failure time (AFT) model is used to allow for the effect of usage rate on product degradation. The maintenance model that arises following the expiration of 2D warranty is discussed. The expected cost rates per unit time from the user's point of view are formulated and the optimal maintenance policies are determined to minimize the expected cost rate to the user. Finally numerical examples are given to illustrate the optimal maintenance polices.

Pooling shrinkage estimator of reliability for exponential failure model using the sampling plan (n, C, T)

  • Al-Hemyari, Z.A.;Jehel, A.K.
    • International Journal of Reliability and Applications
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    • 제12권1호
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    • pp.61-77
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    • 2011
  • One of the most important problems in the estimation of the parameter of the failure model, is the cost of experimental sampling units, which can be reduced by using any prior information available about ${\theta}$, and devising a two-stage pooling shrunken estimation procedure. We have proposed an estimator of the reliability function (R(t)) of the exponential model using two-stage time censored data when a prior value about the unknown parameter (${\theta}$) is available from the past. To compare the performance of the proposed estimator with the classical estimator, computer intensive calculations for bias, mean squared error, relative efficiency, expected sample size and percentage of the overall sample size saved expressions, were done for varying the constants involved in the proposed estimator (${\tilde{R}}$(t)).

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연장된 보증을 갖는 예방보전모형 (Preventive maintenance model with extended warranty)

  • 정기문
    • Journal of the Korean Data and Information Science Society
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    • 제24권4호
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    • pp.773-781
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    • 2013
  • 최근에 기본 보증이 종료된 이후에 주어지는 시스템의 연장된 보증에 대한 관심이 증가되고 있다. 따라서 본 논문에서는 사용자 측면에서 최소수리보증이 있는 연장된 보증이 종료된 이후의 예방보전모형을 제안하였다. 이 때, 기본 보증과 연장된 보증 하에서 고장이 발생된 시스템에는 판매자에 의해서 무료로 최소수리가 이루어진다. 이러한 제안된 예방보전모형에 대하여 기대순환길이, 총기대비용 그리고 단위시간당 기대비용을 유도하였다. 또한, 유도된 단위시간당 기대비용을 최소화 하는 최적의 예방보전 주기와 예방보전 횟수를 결정하였다. 끝으로 시스템의 고장시간이 와이블 분포를 따를 때 수치적 예를 통하여 이를 설명하였다.

다품종 종이용기의 고속 생산을 위한 고장 진단 시스템 개발 (The Development of a Failure Diagnosis System for High-Speed Manufacturing of a Paper Cup-Forming Machine)

  • 김설하;장재호;주백석
    • 한국기계가공학회지
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    • 제18권5호
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    • pp.37-47
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    • 2019
  • Recently, as demand for various paper containers has rapidly grown, it is inevitable that paper cup-forming machines have increased their manufacturing speed. However, the faster manufacturing speed naturally brings more frequent manufacturing failures, which decreases manufacturing efficiency. As such, it is necessary to develop a system that monitors the failures in real time and diagnoses the failure progress in advance. In this research, a paper cup-forming machine diagnosis system was developed. Three major failure targets, paper deviation, temperature failure, and abnormal vibration, which dominantly affect the manufacturing process when they occur, were monitored and diagnosed. To evaluate the developed diagnosis system, extensive experiments were performed with the actual data gathered from the paper cup-forming machine. Furthermore, the desired system validation was obtained. The proposed system is expected to anticipate and prevent serious promising failures in advance and lower the final defect rate considerably.

와이블 고장모형 하에서의 이중샘플링 T2 관리도의 경제적-통계적 설계 (이중샘플링 T2 관리도의 경제적-통계적 설계) (Economic-Statistical Design of Double Sampling T2 Control Chart under Weibull Failure Model)

  • 홍성옥;이민구;이주호
    • 품질경영학회지
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    • 제43권4호
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    • pp.471-488
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    • 2015
  • Purpose: Double sampling $T^2$ chart is a useful tool for detecting a relatively small shift in process mean when the process is controlled by multiple variables. This paper finds the optimal design of the double sampling $T^2$ chart in both economical and statistical sense under Weibull failure model. Methods: The expected cost function is mathematically derived using recursive equation approach. The optimal designs are found using a genetic algorithm for numerical examples and compared to those of single sampling $T^2$ chart. Sensitivity analysis is performed to see the parameter effects. Results: The proposed design outperforms the optimal design of the single sampling $T^2$ chart in terms of the expected cost per unit time and Type-I error rate for all the numerical examples considered. Conclusion: Double sampling $T^2$ chart can be designed to satisfy both economic and statistical requirements under Weibull failure model and the resulting design is better than the single sampling counterpart.

A Bayesian approach to maintenance strategy for non-renewing free replacement-repair warranty

  • Jung, K.M.
    • International Journal of Reliability and Applications
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    • 제12권1호
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    • pp.41-48
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    • 2011
  • This paper considers the maintenance model suggested by Jung and Park (2010) to adopt the Bayesian approach and obtain an optimal replacement policy following the expiration of NFRRW. As the criteria to determine the optimal maintenance period, we use the expected cost during the life cycle of the system. When the failure times are assumed to follow a Weibull distribution with unknown parameters, we propose an optimal maintenance policy based on the Bayesian approach. Also, we describe the revision of uncertainty about parameters in the light of data observed. Some numerical examples are presented for illustrative purpose.

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Optimal Burn-In under Warranty

  • Kim, Kuinam-J;Park, Chi-Yeon
    • 대한안전경영과학회지
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    • 제1권1호
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    • pp.135-143
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    • 1999
  • This paper discusses an optimal burn-in procedure to minimize total costs based on the assumption that the failure rate pattern follows a bimodal mixed Weibull distribution. The procedure will consider warranty period as a factor of the total expected bum-in cost. A cost model is formulated to find the optimal burn-in time that minimizes the expected burn-in cost. Conditional reliability for warranty period will be discussed. An illustrative example is included to show how to use the cost model in practice.

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Optimal Burn-In under Waranty

  • Kim, Kui-Nam;Lee, Kwang-Ho
    • Communications for Statistical Applications and Methods
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    • 제6권3호
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    • pp.719-728
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    • 1999
  • This paper discusses an optimal burn-in procedure to minimize total costs based on the assumption that the failure rate pattern follows a bimodal mixed Weibull distribution. The procedure will consider warranty period as a factor of the total expected burn-in cost. A cost model is formulated to find the optimal burn-in time that minimizes the expected burn-in cost. Conditional reliability for warranty period will be discussed. An illustrative example is included to show how to use the cost model in prctice.

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치과의원 외래환자 예약관리체계의 계량적 평가 (Quantitative Evaluation of Appointment System for Outpatients in Dental Clinic)

  • 이형주;장혜정
    • 한국병원경영학회지
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    • 제8권2호
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    • pp.49-69
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    • 2003
  • This study purported to evaluate the performance of the appointment system for outpatients in primary care dental clinic. The data of patients' time flow for 1,245 patients in Y Dental Clinic were collected for one month in 2002 and then analyzed. Specifically, the time periods of treatment and patients' waiting as well as rates of appointment and it's failure are estimated. The accuracy of expected treatment time period was also evaluated. The results showed that 72% of patients visited the clinic with appointments, and only 56% kept their appointments. The patient's waiting time period turned out to be 11 minutes in Y clinic. The expected treatment time period is turned out to be very important because they influence significantly on patient's waiting time period. Practically, the expected treatment time period should be overestimated about 9 minutes in general, and the characteristics of dentist, each patient's diagnosis and age need to be especially considered. Hospitals and clinics also need to make the systematic and detailed critical pathways for a variety of patient cases by analyzing the patients' treatment pattern. With the improved appointment systems, healthcare institutions will approach the goal of effective and efficient management of the institution and also satisfy their customers.

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An Optimum Maintenance Policy : A bayesian approach to periodic incomplete preventive maintenance with minimal repair at failure

  • Park, Kwang-Su;Jun, Chi-Hyuck
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회 1997년도 추계학술대회발표논문집; 홍익대학교, 서울; 1 Nov. 1997
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    • pp.193-196
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    • 1997
  • In this paper we consider a Bayesian theoretic approach to periodic incomplete preventive maintenance with minimal repair at failure. We assume that the system failure rate is increasing as the frequency of PM increases and that the system is replaced at the K-th PM under this maintenance strategy. The optimal policies which minimize the expected cost rates are discussed. We seek the optimal periodic PM interval x and replacement time K under a Weibull failure intensity. Assuming suitable prior distribution for the Weibull parameters, we derive the posterior distribution incorporating failure data and obtain the updated optimal replacement strategies.

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