• Title/Summary/Keyword: expected time to failure

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병렬 시스템에서의 최적 중복부품수와 최적 부하수준 (Optimal Redundant Units and Load in Parallel Systems)

  • 윤원영;김귀래
    • 한국경영과학회지
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    • 제23권1호
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    • pp.97-107
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    • 1998
  • This paper is concerned with a parallel system that sustains a time-independent load and consists of n components with exponential lifetimes. It is assumed that the total load is shared by the working components and the failures of components increase higher failure rates in the surviving components according to the relationship between the load and the fialure rates. The power rule model among several load-failure rate relationships is considered. We consider the system efficiency meausre as the expected profit earned by the system per unit time. The high load causes high gain but it also occurs frequent system failures. The expected profit per unit time is used as criterion to evaluate the system efficiency. The goal of system engineer is to determine the optimal load and redundant units maximizing the expected profit per unit time. First, the system reliability function is obtained and the optimization problem of the load-sharing parallel system is considered. Given the redundant units, the existence of the optimal load can be proved analytically and given the load, the optimal redundant units can be solved also analytically. The optimal load and redundant units are obtained simultaneously by numerical computation. Some numerical examples are studied.

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지수 수명분포에 대한 Bayesian 합격판정 샘플링계획의 개발 및 비교에 관한 연구 (Development and Comparisons of Bayesian Acceptance Sampling Plans for the Exponential Lifetime Distribution)

  • 정현석;진휘철;염봉진
    • 대한산업공학회지
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    • 제20권1호
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    • pp.15-25
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    • 1994
  • The Bayesian approach to reliability acceptance sampling has several advantages over the non-Bayesian approach. For instance, the former usually requires less amount of testing time and smaller sample sizes than the latter. In this article, a Bayesian acceptance sampling plan(ASP) based on a failure-free period life test is developed under the assumption of exponential lifetime distribution, and is compared with the corresponding Bayesian hybrid ASP in terms of the expected completion time. It is found that the proposed ASP tends to have a smaller expected completion time than the Bayesian hybrid ASP as the prior assessment of the reliability of a lot becomes optimistic, and vice versa. Tables of failure-free period Bayesian ASP's are also included.

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Extended warranty model under minimal repair-replacement warranty policy

  • Jung, Ki Mun
    • International Journal of Reliability and Applications
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    • 제18권1호
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    • pp.1-8
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    • 2017
  • In this paper, we study an extended warranty model under minimal repair-replacement warranty (MRRW) which is suggested by Park, Jung and Park (2013). Under MRRW policy, the manufacturer is responsible for providing the minimal repair-replacement services upon the system failures during the warranty period. And if the failure occurs during the extended warranty period, only the minimal repair is conducted. Following the expiration of extended warranty, the user is solely responsible for maintaining the system for a fixed length of time period and replaces the system at the end of such a maintenance period. During the maintenance period, only the minimally repair is given for each system failure. The main purpose of this article is to suggest the extended warranty and replacement model with MRRW. Given the cost structures incurred during the life cycle of the system, we formulate the expected cost and the expected length of life cycle to obtain the expected cost rate.

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감육배관의 손상모드에 따른 음향방출 특성 (Acoustic Emmision Characteristics according to Failure Modes of Pipes with Local Wall Thinning)

  • 안석환;남기우;김선진;김진환;김현수;박인덕
    • 한국해양공학회지
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    • 제16권5호
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    • pp.66-72
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    • 2002
  • Fracture behaviors of pipes with local wall thinning are very important for the integrity of nuclear power plant. However, effects of local wall thinning on strength and fracture behaviors of piping system were not well studied. Acoustic emission(AE) has been widely used in various fields because of its extreme sensitivity, dynamic detection ability and location of growing defects. In this study, we investigated failure modes of locally wall thinned pipes and AE signals by bending test. From test results, we could be divided four types of failure modes of ovalization, crack initiation after ovalization, local buckling and crack initiation after local buckling. And fracture behaviors such as elastic region, yielding region, plastic deformation region and crack progress region could be evaluated by AE counts, accumulative counts and time-frequency analysis during bending test. The result of the frequency range is expected to be basic data that can inspect plants in real-time.

Item Replacement Policy with Minimal Repair in Stepdown Warranty Model

  • Jae Joong, Kim;Won Joong, Kim
    • 산업경영시스템학회지
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    • 제18권33호
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    • pp.87-92
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    • 1995
  • This paper proposes age replacement policy in stepdown warranty policy. The replacement policy is considered in case of minimally repairable items. And renewal theory is used in analyzing warranty costs. The expected cost per unit time is presented in stepdown warranty policy, free replacement, prorata and hybrid policy. In this article it is assumed that item is replaced at the age of T but the any failure is minimally repaired before the age T. At this point the expected cost per unit time is shown in customer's view point. And numerical example is explored in weibull time-to-failure distribution.

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A Methodology for Fatigue Reliability Assessment Considering Stress Range Distribution Truncation

  • Park, Jun Yong;Park, Yeun Chul;Kim, Ho-Kyung
    • 국제강구조저널
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    • 제18권4호
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    • pp.1242-1251
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    • 2018
  • Not all loads contribute to fatigue crack propagation in the welded detail of steel bridges when they are subjected to variable amplitude loading. For fatigue assessment, therefore, non-contributing stress cycles should be truncated. However, stress range truncation is not considered during typical fatigue reliability assessment. When applying the first order reliability method, stress range truncation occurs mismatch between the expected number of cycles to failure and the number of cycles obtained at the time of evaluation, because the expected number of cycles only counts the stress cycles that contribute to fatigue crack growth. Herein, we introduce a calibration factor to coordinate the expected number of cycles to failure to the equivalent value which includes both contributing and non-contributing stress cycles. The effectiveness of stress range truncation and the proposed calibration factor was validated via case studies.

수리시간이 증가하는 수리가능한 시스템에서의 최적 교체시간의 결정 (Optimal Age Replacement Policy for a Repairable System with Increasing Minimal Repair Times at Failure)

  • 차지환;이강현;김재주
    • 품질경영학회지
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    • 제28권3호
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    • pp.53-58
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    • 2000
  • In many cases, it is more practical and economical to repair a system than to replace the whole system or to perform a complete overhaul when it fails. The age replacement policy with minimal repair at failure is considered. The system is replaced every time its age reaches at $T_0$. For each intervening failure only minimal repair is done. The minimal repair times in a renewal period are increasing in the sense that the minimal repair times constitute a strictly increasing geometric process. The long-run expected cost rate Is obtained and the properties of the existence and the uniqueness of the optimal policy minimizing the long-run expected cost rate are derived.

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정기검사하에서 준비태세의 부품에 대한 최적예방교환 (Optimal Preventive Replacement under Periodic Inspections for an Item in Preparedness)

  • 공명복;원영철
    • 대한산업공학회지
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    • 제22권4호
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    • pp.651-662
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    • 1996
  • This paper concerns with preventive replacement under periodic inspections for an item (system) which is in a state of preparedness. The item is subject to wear. The item fails randomly but the failure rate depends on the accumulated wear. The item is preventively replaced if it survives a certain wear limit at periodic inspections. The foiled item is, however, replaced at periodic inspections. Given the costs for replacements and inspections, and the penalty cost of the time elapsed between failure und its detection, the optimal wear limit according to the long-run expected cost per unit time criterion is derived. It has been proved that the optimal wear limit is unique if an item has increasing weer-dependent failure rate. A numerical example for a stationary gamma wear process with Weibull distributed failure is given to show its applicability.

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Replacement model under warranty with age-dependent minimal repair

  • Park, Minjae
    • International Journal of Reliability and Applications
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    • 제18권1호
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    • pp.9-20
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    • 2017
  • In this paper, we consider a renewable repair-replacement warranty strategy with age-dependent minimal repair service and propose an optimal maintenance model during post-warranty period. Such model implements the repair time limit under warranty and follows with a certain form of system maintenance strategy when the warranty expires. The expected cost rate is investigated per unit time during the life period of the system as for the standard for optimality. Based on the cost design defined for each failure of the system, the expected cost rate is derived during the life period of the system, considering that a renewable minimal repair-replacement warranty strategy with the repair time limit is provided to the customer under warranty. When the warranty is finished, the maintenance of the system is the customer's responsibility. The life period of the system is defined and the expected cost rate is developed from the viewpoint of the customer's perspective. We obtain the optimal maintenance strategy during the maintenance period by minimizing such a cost rate after a warranty expires. Numerical examples using field data are shown to exemplify the application of the methodologies proposed in this paper.

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수정된 Wu와 Clements-Croome의 예방보전 모형 (Modified Wu and Clements-Croome's PM model)

  • 정기문
    • Journal of the Korean Data and Information Science Society
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    • 제25권4호
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    • pp.791-798
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    • 2014
  • Wu와 Clements-Croome (2005)은 확률적 보전효과를 갖는 예방보전 모형을 제안하였는데, 그들은 각각의 예방보전 활동이 이루어진 이후에 시스템의 상태가 고장률 측면에서 새로운 것처럼 되고, 이전보다 더 급격하게 증가하는 고장률을 갖는다고 가정하였다. 그러나 예방보전 활동 이후의 시스템의 상태가 새로운 것처럼 된다는 것은 현실적으로 매우 강한 가정이라고 할 수 있다. 따라서 본 논문에서는 수정된 Wu와 Clements-Croome의 예방보전 모형을 제안하고 최적의 예방보전정책을 제시하고자 한다. 또한, 최적의 예방보전정책을 결정하기 위해서 제안된 모형에 대한 단위시간당 기대비용을 사용하였다, 즉, 단위시간당 기대비용을 최소화하는 최적의 예방보전 횟수와 주기를 결정하였다. 끝으로 수치적 예를 통해서 제안된 예방보전정책을 설명하였다.