• 대한산업공학회지
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• 제39권2호
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• pp.90-98
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• 2013

The k-out-of-n system with mixed redundancy is defined as k-out-of-n system which both includes warm-standby and cold-standby components. In case that operating components in the system fail and the system needs quick transition of standby components to operation state, the k-out-of-n system with mixed redundancy is useful for decreasing system failure rate and operational cost. Reliability-Redundancy Optimization Problem (RROP) involves selection of components with multiple choices and redundancy levels for maximizing system reliability with constraints such as cost, weight, etc. A solution methodology by using harmony search algorithm for RROP of the k-out-of-n system with mixed redundancy to maximize system reliability was suggested in this study.

• 응용통계연구
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• 제26권1호
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• pp.119-130
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• 2013

시스템을 구성하고 있는 $n$개의 부품 중 적어도 ${\kappa}$개의 부품이 제대로 작동하면 정상적으로 작동하는 시스템을 ${\kappa}$-out-of-$n$ 시스템이라 한다. 기존의 ${\kappa}$-out-of-$n$ 시스템에 관한 대부분의 연구에서는 단지 시스템의 작동여부에만 관심을 갖고 시스템의 신뢰도를 산출하는 문제를 주로 다루었다. 하지만 시스템이 작동할 때 작동하는 부품의 개수에 따라 시스템의 효율이 달라질 수 있으므로, 본 논문에서는 다상태 ${\kappa}$-out-of-$n$ 시스템을 고려하고 시스템의 총 효율을 산출하는 연구를 수행한다. 또한 시스템이 수리 가능할 경우, 시스템의 총 효율을 최대화 시킬 수 있는 수리 시점을 찾아보기로 한다. 이러한 시스템의 효율은 기존의 평균수명을 일반화한 형태가 됨을 보일 수 있다. 따라서 본 연구에서 다루는 모형은 기존의 모형을 보다 일반적인 경우로 확장한 모형이라 할 수 있다.

• 한국경영과학회지
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• 제17권2호
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• pp.123-130
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• 1992

The model of k-out-of n : G repairable system with identical components is extended to a repairable system with n different components. The objective is to analytically derive the mean time of the busy period for a k-out-of-n : G system with unrestricted repair. Then, the lower and upper bounds on the average time of the busy period of the n-component system with restricted repair are also shown.

• 한국품질경영학회:학술대회논문집
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• 한국품질경영학회 2006년도 추계 학술대회
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• pp.309-314
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• 2006

The linear Consecutive-k-out-of-n:F system consists of n component ordered linearly and fail if and only if at least k consecutive components fail. We assume that the components are independent and identical exponentially distributed. This paper develops a model to calculate the expected cost per unit time of a linear consecutive-k-out-of-n:F system. The optimization problem we consider regards the choice of the system structure parameter k to minimized the expected cost per unit time.

• 한국가스학회지
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• 제17권1호
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• pp.49-55
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• 2013

최근 발전, 가스 설비, 화학공장 등의 대형 시스템들은 매우 복잡한 구조를 지니고 있다. 대부분의 공정들은 효율성을 위하여 높은 신뢰성을 요구하고 있으나, 복잡한 과정으로 인하여 신뢰도 분석이 상대적으로 어려운 실정이다. 복잡한 화학공정에서의 신뢰성 분석을 위하여 이 논문에서는 k-out-of-n로 구성된 화학공정을 RBD를 이용하여 신뢰성 경로를 파악하고, 고장판정행렬을 적용하여 신뢰도를 계산하였다. 이 기법이 k-out-of-n 시스템의 신뢰성 분석에 유용하게 사용될 수 있다는 것을 제시하였다.

• Journal of applied mathematics & informatics
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• 제25권1_2호
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• pp.389-405
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• 2007

In this paper, we study a k-out-of-n system with single server who provides service to external customers also. The system consists of two parts:(i) a main queue consisting of customers (failed components of the k-out-of-n system) and (ii) a pool (of finite capacity M) of external customers together with an orbit for external customers who find the pool full. An external customer who finds the pool full on arrival, joins the orbit with probability ${\gamma}$ and with probability $1-{\gamma}$ leaves the system forever. An orbital customer, who finds the pool full, at an epoch of repeated attempt, returns to orbit with probability ${\delta}\;(<\;1)$ and with probability $1-{\delta}$ leaves the system forever. We compute the steady state system size probability. Several performance measures are computed, numerical illustrations are provided.

• 산업공학
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• 제21권3호
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• pp.254-261
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• 2008

Connected-(r,s)-out of-(m,n) : F system is an important topic in redundancy design of the complex system reliability and it's maintenance policy. Previous studies applied Monte Carlo simulation and genetic, simulated annealing algorithms to tackle the difficulty of maintenance policy problem. These algorithms suggested most suitable maintenance cycle to optimize maintenance pattern of connected-(r,s)-out of-(m,n) : F system. However, genetic algorithm is required long execution time relatively and simulated annealing has improved computational time but rather poor solutions. In this paper, we propose the ant colony optimization approach for connected-(r,s)-out of-(m,n) : F system that determines maintenance cycle and minimum unit cost. Computational results prove that ant colony optimization algorithm is superior to genetic algorithm, simulated annealing and tabu search in both execution time and quality of solution.

• International Journal of Reliability and Applications
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• 제4권2호
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• pp.51-56
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• 2003

A k-out-of-n system with n identical and independent components is considered in which the components takes two types of function: 0 (open-circuit) or 1 (closed) on command (e.g. electromagnetic relays and solid state switches). Components are subject to two types of failure on command: failure to close or failure to open. In our k-out-of-n system, failure of (n-k)＋1 or more components to close causes to the close failure of the system, or failure of k or more components to open causes the open failure of the system. The long-run average cost rate is obtained. We find the optimal k minimizing the long run average cost rate for given n. A numerical example is presented.

• 품질경영학회지
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• 제21권1호
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• pp.121-135
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• 1993

The derived expressions and computations of the system reliability in the consecutive k out of n failure structure with sink-source pole are discussed and a new simplified formulation to compute the reliability of consecutive k out of $n^*$ failure system is presented, and the relations with system reliability when the number of first consecutive falied components from source is greater than k are presented in this paper. The new simplified formulation is illustrated in the numerical experiments.

• 대한산업공학회지
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• 제26권2호
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• pp.128-135
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• 2000

This paper considers a consecutive k-out-of-n:F system when the failure of a component in the system induces higher failure rate of the preceding survivor. The reliability, mean time to failure(MTTF), and average failure number of a consecutive k-out-of-n:F system are obtained, when the failure of a component increases the failure rate of the survivor which is working just before the failed component. Then the optimal number of consecutive failed components to minimize this long run average cost rate can be obtained. An example is considered to calculate the reliability, MTTF and average failure number of the system. And two procedures that find the optimal number of consecutive failed components are studied. Then, various cases of system parameters are also studied.