• Journal of the Korean Data and Information Science Society
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• 제8권1호
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• pp.85-89
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• 1997

In this paper, we consider a random replacement model with minimal repair, which is a generalization of the random replacement model introduced Lee and Lee(1994). It is assumed that a system is minimally repaired when it fails and replaced only when the accumulated operating time of the system exceeds a threshold time by a supervisor who arrives at the system for inspection according to Poisson process. Assigning the corresponding cost to the system, we obtain the expected long-run average cost per unit time and find the optimum values of the threshold time and the supervisor's inspection rate which minimize the average cost.

• Journal of the Korean Statistical Society
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• 제30권1호
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• pp.89-98
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• 2001

Brown and Proschan(1983) introduced a model for imperfect repair. At each failure of a device, with probability p, it is repaired completely or replaced with a new device(perfect repair), and with probability 1-p, it is returned to the functioning state, but it is only recovered to its condition just prior to failure(imperfect repair or minimal repair). In this paper, we limit the number of consecutive minimal repairs by n. We find some useful properties about $\mu$$_{k}$, the expected time between the k-th and the (k+1)-st repair under he assumption that only minimal repairs are performed. Then, we assign cost to each repair and find the value of n which minimized the long-run average cost for a fixed p under the condition that the life distribution F os the device is DMRL.L.

• 산업경영시스템학회지
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• 제11권17호
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• pp.9-14
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• 1988

A (s, S) inventory policy is studied for a continuous inventory model in which lead times are dependent on the ordering quantity. The model assumes that at most one order is outstanding and demands occur in a compound poison process. The steady-state probability distributions of the inventory levels are derived so as to determine the long-run expected average cost. And the computational procedure is presented.

• 한국경영과학회지
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• 제18권1호
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• pp.119-126
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• 1993

We study a manufacturing process that is quite common in semiconductor wafer fabrication of semiconductor chip production. A machine is used to process a job consisting of J wafers. Each job requires a setup, and the i$_{th}$ setup for a job is sucessful with probability P$_{i}$. The setup is prone to failure, which results in the loss of expensive wafers. Therefore, a tiral run is first conducted on a small batch. If the set up is successful, the test is passed and the balance of the job can be processed. If the setup is unsuccessful, the exposed wafers are lost to scrap and the mask is realigned. The process then repeats on the balance of the job. We call this as send-ahead policy and consider general policies in which the number of wafers that are sent shead depend on the cost of the raw wafer, the sequence of success probabilities, and the balance of the job. We model this process and determine the expected number of good wafers per job,the expected time to process a job, and the long run average throughput. An algorithm to minimize the cost per good wafer subject to a demand constraint is provided.d.d.

• 대한산업공학회지
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• 제5권1호
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• pp.59-66
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• 1979

The objective of this paper is to develop a stochastic inventory system model under the so-called continuous-review policy with a Poisson one-at-a-time demand process, iid customer inter-arrival times {Xi}, backorders allowed, and constant procurement lead time $\gamma$. The distributions of the so-called inventory position process {$IP_{(t-r)}$} and lead time demand process {$D_{(t-r,t)}$} are formulated in terms of cumulative demand by time t, {$N_t$}. Then, for the long-run expected average annual inventory cost expression, the "ensemble" average is estimated, where the cost variations for stock ordering, holding and backorders are considered stationary.

• 한국신뢰성학회:학술대회논문집
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• 한국신뢰성학회 2000년도 춘계학술대회 발표논문집
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• pp.63-70
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• 2000

Brown and Proschan(1983) introduced a model for imperfect repair. At each feilure of a device, with probability p, it is repaired completely or replaced with a new device(perfect repair), and with probability 1 - p, it is returned to the functioning state, but it is only recovered to its condition just prior to failure(imperfect repair or minimal repair). In this paper, we limit the number of consecutive minimal repairs by n. We find some useful properties about ${\mu}$$\_$k/, the expected time between the k-th and the (k + 1)-st repair under the assumption that only minimal repairs are performed. Then, we assign cost to each repair and find the value of n which minimizes the long-run average cost for a fixed p under the condition that distribution F of the device is DMRL.

• 품질경영학회지
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• 제24권3호
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• pp.31-36
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• 1996

A Markovian stochastic model for a system subject to random shocks is considered. Each shock arriving according to a Poisson process decreases the state of the system by a random amount. A repairman arrives at the system periodically for inspection and repairs the system only if the state is below a threshold. Costs are assigned to each inspection of the repairman, to each repair, and to the system being in bad states below the threshold. The expected long run average cost is obtained and compared with that of the random inspection introduced by Lee and Lee(1994).

• KDI Journal of Economic Policy
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• 제13권2호
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• pp.3-19
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• 1991

인플레기대심리(期待心理)의 지속으로 통화량규제(通貨量規制)의 중요성이 부각되는 가운데 투자금융회사의 업종전환(業種轉換), 금리자유화추진(金利自由化推進) 등으로 각종 통화지표(通貨指標)의 움직임이 불안정해질 우려 때문에 통화정책운용(通貨政策運用)에 어려움을 주고 있다. 그러나 본고(本稿)의 연구결과(硏究結果)에 의하면 70년대 중반 이후 금융환경(金融環境)이 급변하여 왔음에도 불구하고 실질(實質)M2는 실질(實質)GNP 및 기회비용(機會費用)(예상(豫想)인플레율(率)에서 M2가중평균수신금리(加重平均受信金利)를 뺀 것)과 장기적으로 안정적인 관계를 가지며, 이는 유통속도(流通速度)와 기회비용간(機會費用間)의 정(正)의 장기적 균형관계로 간략화 시킬 수 있는 것으로 나타났다. 따라서 사안(事案)의 성격에 따라서 다르겠으나 앞으로의 금융구조변화(金融構造變化)가 반드시 M2유통속도(流通速度)의 움직임을 불안정하게 할 것으로 미리 단정할 필요는 없겠다. 또한 예상(豫想)인플레율(率)이 M2가중평균수신금리(加重平均受信金利)를 지속적으로 상회한다면 유통속도(流通速度)도 그 간의 하락추세에서 벗어나 궁극적으로 상승하게 되며, 이는 기존의 금융정책기조(金融政策基調)의 변화를 요구하는 것이다. 즉 금리자유화(金利自由化)가 이루어져 있지 않은 현여건(現與件) 하에서나 혹은 향후(向後)에 일부(一部) 금리(金利)만을 자유화할 경우에는 정책당국이 시장기능(市場機能)을 대신하여 예상(豫想)인플레율(率)의 변화를 감안하여 수신금리(受信金利)를 수시로 조정하여야 한다. 또한 실물적(實物的) 요인(要因)이 아닌 금융산업개편(金融産業改編)과 같은 금융적(金融的) 요인(要因)에 의한 통화증가가능성(通貨增加可能性)이 존재한다면 수신금리(受信金利)를 탄력적(彈力的)으로 상향조정함으로써 실물경제(實物經濟)에 대한 충격을 최소화하는 등 금리정책(金利政策)의 중요성을 제고하여야 한다.