• 제목/요약/키워드: optimal replacement time

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Condition based age replacement policy of used item

  • Lim, J.H.;Lipi, T.F.;Zuo, M.J.
    • International Journal of Reliability and Applications
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    • 제12권2호
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    • pp.131-143
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    • 2011
  • In most of literatures of age replacement policy, the authors consider the case that a new item starts operating at time zero and is to be replaced by new one at time T. It is, however, often to purchase used items because of the limited budget. In this paper, we consider age replacement policy of a used item whose age is $t_0$. The mathematical formulas of the expected cost rate per unit time are derived for both infinite-horizon case and finite-horizon case. For each case, we show that the optimal replacement age exists and is finite and investigate the effect of the age of the used item.

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A Note on Age Replacement Policy of Used Item at Age $t_0$

  • Lim, J.H.
    • International Journal of Reliability and Applications
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    • 제10권1호
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    • pp.33-42
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    • 2009
  • In most of literatures of age replacement policy, the authors consider the case that a new item starts operating at time zero and is to be replaced by new one at time T. It is, however, often to purchase used items because of the limited budget. In this paper, we consider age replacement policy of a used item whose age is $t_0$. The mathematical formulas of the expected cost rate per unit time are derived for both infinite-horizon case and finite-horizon case. For each case, we show that the optimal replacement age exists and is finite and investigate the effect of the age of the used item.

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Optimal Control Policy for Replacements Involving Two Machines and One Repairman

  • Noh, Jang-Kab
    • 한국국방경영분석학회지
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    • 제17권1호
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    • pp.61-83
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    • 1991
  • There has been a great deal of research dealing with the optimal replacement of stochastically deteriorating equipment and research in queueing systems with a finite calling population. However. there has been a lack of research which combines these two areas to deal with optimal replacement for a fixed number of machines and a limited number of repairmen. In this research, an optimal control policy for replacement involving two machines and one repairman is developed by investigating a class of age replacement policies in the context of controlling a G/M/1 queueing system with a finite calling population. The control policy to be imposed on this problem is an age-dependent control policy, described by the control limit $t^{\ast}$. The control limit is operational only when the repairman is idle; that is. if both machines are working, as soon as a machine reaches the age $t^{\ast}$ it is taken out of service for replacememt. We obtain the ${\epsilon}$-optimal control age which will minimize the long-run average system cost. An algorithm is developed that is applicable to general failure time distributions and cost functions. The algorithm does not require the condition of unimodality for implementation.

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불완전 수리에서의 수리시간한계를 가진 교체모형 (A Repair-Time Limit Replacement Model with Imperfect Repair)

  • 정일한;윤원영
    • 대한산업공학회지
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    • 제39권4호
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    • pp.233-238
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    • 2013
  • This article concerns a profit model in a repair limit replacement problem with imperfect repair. If a system fails, we should decide whether we repair the failed system (repair option) or replace it by new one (replacement option with a lead time). We assume that repair times are random variables and can be estimated before repair with estimation error. If the estimated repair time is less than the specified limit (repair time limit), the failed unit is repaired but the unit after repair is different from the new one (imperfect repair). Otherwise, we order a new unit to replace the failed unit. The long run average profit (expected profit rate) is used as an optimization criterion and the optimal repair time limit maximizes the expected profit rate. Some special cases are derived.

비재생혼합보증이 종료된 이후의 비용과 비가동시간에 근거한 교체정책에 대한 베이지안 접근 (A Bayesian approach to replacement policy following the expiration of non-renewing combination warranty based on cost and downtime)

  • 정기문
    • Journal of the Korean Data and Information Science Society
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    • 제21권5호
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    • pp.873-882
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    • 2010
  • 본 논문에서는 비재생혼합보증이 종료된 이후의 교체정책에 대한 베이지안 접근을 고려한다. 이때, 비재생혼합보증은 비재생무료교체보증과 비재생비례교체보증의 혼합된 형태가 된다. 최적의 교체주기를 결정하기 위하여 기대비용과 기대비가동시간에 근거한 기준이 사용되는데, 이를 위해서 단위시간당 기대비용과 단위시간당 기대비가동시간이 각각 구해진다. 시스템의 고장시간이 불확실한 모수를 갖는 와이블분포를 할 때, 베이지안 접근에 근거하여 최적의 교체정책이 제안된다. 이때, 최적의 교체주기를 결정하기 위해서 Jiang과 Ji (2002)에 의해서 제안된 총밸류함수가 사용된다. 끝으로, 본 논문에서 제안된 베이지안 교체정책을 설명하기 위해서 수치적 예를 살펴본다.

A Corrective Maintenance Policy Which Determines Replacement or Repair for the Maintenance of System Failures

  • Jang, Jae-Jin;Lie, Chang-Hoon
    • 한국국방경영분석학회지
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    • 제15권1호
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    • pp.54-62
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    • 1989
  • This paper presents a corrective maintenance model to determine either type of maintenance actions upon failure of the system. Types of maintenance actions considered are minimal repair and replacement. Minimal repair cost is assumed to be random, whereas replacement cost is fixed. A policy, B(t), which determines the type of maintenance action based on the estimated minimal repair cost when the system fails at time t is adopted. To obtain an optimal policy, an expected maintenance cost per unit time is derived and is minimized with respect to B(t).

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초고층구조물에 적용하기 위한 고강도콘크리트 및 매스콘크리트의 최적배합선정 및 민감도특성에 관한 연구 (A Study on the Choice of Optimal Mixtures and Sensibility Properties of High Strength Concrete and Mass Concrete to apply the High Rising Building)

  • 이상수;송하영;김을용
    • 한국건축시공학회지
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    • 제5권2호
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    • pp.153-159
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    • 2005
  • This study is to choose the optimal mixture and to analyze the sensibility properties of High strength concrete and mass concrete to apply the high rising building. The main experimental variables were water/binder ratio $39\%,\;33\%,\;35\%\;and\;37\%$, replacement ratio of fly ash $5\%,\;10\%\;and\;15\%$, in the high strength concrete and water/binder ratio $39\%,\;41\%\;and\;43\%$, replacement ratio of fly ash $10\%,\;20\%\;and\;30\%$, in the man concrete. According to the test results, the principal conclusions are summarized as follows. 1) The slump(or slump flow) and air content of fresh concrete were found to be the highest in the elapsed time 30 minutes. 2) The optimal mixture conditions are W/B $40\%$, FA $25\%$ in the mass concrete and W/B $33.4\%$, FA $15\%$ in the high strength concrete. 3) The ranges of sensibility are satisfied in the moisture content ${\pm}l\%\;and\;S/a\;{\pm}2\%$.

비재생무료교체-수리보증이 종료된 이후의 예방보전모형 (Preventive maintenance model following the expiration of NFRRW)

  • 정기문
    • Journal of the Korean Data and Information Science Society
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    • 제22권4호
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    • pp.775-784
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    • 2011
  • 본 논문에서는 비재생무료교체-수리보증이 종료된 이후의 수리가 가능한 시스템에 대한 주기적인 예방보전모형을 고려한다. 이러한 예방보전모형에 대하여 기대순환길이, 총기대비용 그리고 단위시간당 기대비용을 각각 유도하고자 한다. 또한 유도된 단위시간당 기대비용을 최소화하는 최적의 예방 보전주기와 예방보전횟수를 결정하는 방법에 대하여 자세히 설명한다. 끝으로 고장시간이 와이블분포를 따르는 경우에 최적의 주기적 예방보전정책을 결정하여 본다.

진보하는 기술 환경에서의 장비 구체에 관한 연구 (A Study on Equipment Replacement under Technological development environment)

  • 고현우;황의철
    • 산업경영시스템학회지
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    • 제17권30호
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    • pp.51-57
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    • 1994
  • This paper considers the problem of equipment replacement A equipment replacement problem is treated in a thchnological development environment. Our model assumes that the costs associated with the presently available thchnology and future technology is known, but the appearance times of future technology is uncertain. A cost model is presented, and method is suggested for finding the optimal operating time for replacement A numerical example is shown.

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An Optimal Block Replacement Policy Using Items with Different Reliability

  • Lie, Chang-Hoon;Bae, Moon-Sik;Chun, Young-Ho
    • 한국국방경영분석학회지
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    • 제10권2호
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    • pp.61-73
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    • 1984
  • A block replacement policy using items with different reliability is discussed. We divide system unit failure modes into two modes and use less reliable unit when operating unit fails near the planned preventive replacement time. In this policy, item A has two failure modes. Mode-1 failure is removed by minimal repair, mode-2 failure by replacement. If mode-2 failure of item A happens in (0, $T-{\delta}$), failure item A is replaced by new item A. If mode-2 failure of item A happens in ($T-{\delta}$, T), failure item A is replaced by new item B. Item B should be cheaper and less durable than item A. Under this policy, we determine the preventive replacement interval $T^{*}$ and the interval ${\delta}^{*}$ of item B replacement which minimize the cost rate per unit time.

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