• 제목/요약/키워드: Minimal Cut-Set

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ON FUZZY MAXIMAL, MINIMAL AND MEAN OPEN SETS

  • SWAMINATHAN, A.;SIVARAJA, S.
    • Journal of Applied and Pure Mathematics
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    • 제4권1_2호
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    • pp.79-84
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    • 2022
  • We have observed that there exist certain fuzzy topological spaces with no fuzzy minimal open sets. This observation motivates us to investigate fuzzy topological spaces with neither fuzzy minimal open sets nor fuzzy maximal open sets. We have observed if such fuzzy topological spaces exist and if it is connected are not fuzzy cut-point spaces. We also study and characterize certain properties of fuzzy mean open sets in fuzzy T1-connected fuzzy topological spaces.

Fault Tree를 활용한 항공기 격납고 소화시스템의 화재 안전성 분석 (Fire Safety Analysis of Fire Suppression System for Aircraft Maintenance Hangar Using Fault Tree Method)

  • 이종국
    • 한국화재소방학회논문지
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    • 제31권6호
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    • pp.67-73
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    • 2017
  • 항공기 정비 격납고는 고가의 항공기를 보관하거나 정비, 점검등을 하는 건축물로 화재발생 빈도는 낮지만 화재발생 시 인적, 물적 피해가 매우 클 수 있다. 따라서 본 연구에서는 Fault tree를 이용하여 현재 운용중인 항공기 정비 격납고 소화시스템의 화재 안전성에 대한 정성적 분석을 시행하고, 도출된 기본사상에 대한 고장률 자료를 활용하여 정량적 분석을 실시한 후 정상사상의 발생 확률에 대한 Minimal cut set의 중요도를 분석하였다. Minimal cut set에 의한 정성적 분석결과 항공기 격납고 포헤드 소화시스템의 화재제어 실패로 대형화재로 확대될 수 있는 사고경로는 14개라는 것을 알 수 있었다. 또한 정량적인 분석 결과 대형화재로 확대될 확률은 $2.08{\times}E-05/day$이며, Minimal cut set의 중요도 분석 결과 화재 발생 시 4개의 Minimal cut set 즉, 구역별 화재 감지기 및 포헤드 동작과 항공기 날개 및 Fire plume에 의한 소화약제 차단이 동일하게 24.95%로 대형화재로 확대될 가능성의 대부분을 차지하였으며, 항공기 정비 격납고의 포헤드 소화시스템은 항공기 날개 하부화재에 대한 적응성이 없어 개선이 필요한 것으로 Fault tree를 이용하여 처음 확인하였다.

최소 컷셋법에 의한 화력발전소 기동전원의 신뢰도 예측에 관한 연구 (A Study on the Reliability Evaluation of Start-up Power Supply in Fossil Power Plant by Minimal Cut-Set Method)

  • 최규식
    • 대한전기학회논문지:전력기술부문A
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    • 제48권4호
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    • pp.358-364
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    • 1999
  • The auxiliary transformers or start-up/stand-by transformer(s) are installed against the start-up and shut-down of generator and emergency status in fossil power plant. The on-site power supply configuration using these transformers must be determined, considering configuration requirements, site characteristics, reliability and availability severely because it is remarkably important for safety and ecfonomy of plant. The auxiliary or start-up/stand-by power supply configuration has been determined considering only safety requirements and construction cost until now in Korea. This paper presents general theorems for the reliability estimation and proposes 2-unit based 4 alternatives for the start-up power supply stystem of 500㎿ standardized fossil power plant. The reliability and unavailability of equipment, system and configuration are determined using minimal cut-set methodology. The optimized plan of 4 alternatives is determined based on this ultimate reliability and unavailability.

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FTA 기법을 이용한 아파트 갱폼작업의 효율성 분석 (Analysis of Efficient Investment for Apartment Gang Form Work by FTA Technique)

  • 손기상;김시억
    • 한국안전학회지
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    • 제17권1호
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    • pp.87-93
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    • 2002
  • In this thesis using FTA technique, the author proposes a new method of analysis of some accidents in construction work. Some efficient plans of safe facility investment are made out. For this study, I referred to 'The Death Accident in Construction Works', which have been published by Korea Industrial Safety Corporation from 1993 to 1999 for 6 years. I selected some of apartment constructions which have caused many deaths for the purpose of analysis in the study. I found that the concrete work using ferro-deck takes more deaths than the conventional construction. After finding this, I selected GANG FORM works using ferro-concrete which is the most widely used but causes many accidents. On the basis of the classification, I try to do some quantitative analyses by adding the death frequency and material factors. In order to draw up the most efficient investment plan, it is imperative that FT diagram be made out and that factors. In order to draw up the most efficient investment plan, it is imperative that FT diagram be made out and that minimal Cut Set be needed. It requires a great deal to labor and time to get Minimal Cut Set. The Minimal Cut Set which is formed of these process is the main factor to analyze disaster in the work. It is desirable that we add calculated percentage of accidents to these factors to these factors in value order, that is to say, from the high cost to low cost.

Fault Tree Analysis(FTA)에 의한 Toluene저장 Tank의 폭발해석 (The Evaluation of Explosion For Toluene Storage Tank by Computer-Aided Fault Tree Analysis)

  • 정재희;이영섭
    • 한국안전학회지
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    • 제3권2호
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    • pp.5-16
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    • 1988
  • This study is conducted to evaluate the explosion of tolune storage tank in the petrochemical plant by Fault Tree Analysis. The conclusions are as follows; 1) Fault Tree diagram and the required computer program for evaluation of explosion accident is developed. 2) The probability of the top event, explosion accident, is $1.5\;{\times}\;10^{-8}$ per year, so there is almost no possibility of explosion during the life cycle of tank. However, the probability of Gate 6 and Gate 7 is 8.8 per month, therefore, attention should be paid to them for accident prevention. 3) The number of minimal cut sets is 67 sets which are not calculated the probability of each set, because of the lack of computer capacity. All the minimal cut sets should be examined case by case. However, it is necessary to be paid attention to COM1, 126, 131, and COM4 in minimal cut sets, because the number of appearance is so high. 4) The number path sets is 70 sets which are not calculated the probability of each set, because of the lack of computer capacity. It is very useful to prepare safety checklist by using this minimal path sets. Also, the events which appear many times, 123, COM5, 139, 127 and 128, are very high in reliability.

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Bounds for Network Reliability

  • Jeong, Mi-Ok;Lim, Kyung-Eun;Lee, Eui-Yong
    • Journal of the Korean Data and Information Science Society
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    • 제16권1호
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    • pp.1-11
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    • 2005
  • A network consisting of a set of N nodes and a set of links is considered. The nodes are assumed to be perfect and the states of links to be binary and associated to each other. After defining a network structure function, which represents the state of network as a function of the states of links, we obtain some lower and upper bounds on the network reliability by adopting minmax principle and minimal path and cut set arguments. These bounds are given as functions of the reliabilities of links. The bridge network is considered as an example.

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네트워크 신뢰도를 추정하기 위한 SMCS/SMPS 시뮬레이션 기법 (SMCS/SMPS Simulation Algorithms for Estimating Network Reliability)

  • 서재준
    • 산업경영시스템학회지
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    • 제24권63호
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    • pp.33-43
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    • 2001
  • To estimate the reliability of a large and complex network with a small variance, we propose two dynamic Monte Carlo sampling methods: the sequential minimal cut set (SMCS) and the sequential minimal path set (SMPS) methods. These methods do not require all minimal cut sets or path sets to be given in advance and do not simulate all arcs at each trial, which can decrease the valiance of network reliability. Based on the proposed methods, we develop the importance sampling estimators, the total hazard (or safety) estimator and the hazard (or safety) importance sampling estimator, and compare the performance of these simulation estimators. It is found that these estimators can significantly reduce the variance of the raw simulation estimator and the usual importance sampling estimator. Especially, the SMCS algorithm is very effective in case that the failure probabilities of arcs are low. On the contrary, the SMPS algorithm is effective in case that the success Probabilities of arcs are low.

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공통원인 고장분석을 위한 전산 코드 개발 (Development of a Computer Code for Common Cause Failure Analysis)

  • Park, Byung-Hyun;Cho, Nam-Zin
    • Nuclear Engineering and Technology
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    • 제24권1호
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    • pp.14-29
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    • 1992
  • 원자력 발전소에서 발생하는 공통원인 고장을 분석하기 위한 컴퓨터 코드 COMCAF를 개발하였다. 공통원인 고장을 다룰 때, 먼저 계통의 최소 단절집합들을 공통원인 기본사상들이 고려되지 않은 고장수목으로부터 구한다. 그리고, 공통원인 고장들이 같은 최소 단절집합내의 부품들간에 있는지 또는 서로 다른 최소 단절집합들의 부품들간에 있는지를 고려하여 이들 최소 단절집합들의 발생 확률값을 계산한다. 유사하거나 동일한 부품들간에 공통원인 고장이 있을때는 Basic Para-meter 모델을 사용한다. 그러나, 서로 다른 부품들간에 공통원인 고장이 있을때는 Basic Para-meter모델에 쓰인 Symmetry Assumption을 두개 이상의 부품에 영향을 주는 기본사상들에만 적용한다. Inclusion-Exclusion방법을 사용하여 정점사상확률간을 구한다. 이 경우 같은 최소 단절 집합들에 있는 부품들의 공통원인 고장뿐만아니라 서로 다른 최소 단절집합들에 있는 부품들의 공통원인 고장도 쉽게 고려될 수 있다. 본 연구에서는 이러한 공통원인 고장분석을 가압경수로의 보조 급수계통에 적용하였다. 이들 정점사상의 확률값들을 공통원인 고장이 없는 경우와 비교하였다.

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최소절단집합을 이용한 설비의 구조적 중요도 계산법 (Evaluation of Structural Importance Based on Minimal Cut Set Theory)

  • 김동진;김형철;김진오
    • 전기학회논문지P
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    • 제58권1호
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    • pp.27-32
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    • 2009
  • A technical system generally comprise a number of subsystems and components that are interconnected in such a way that the system is able to perform a set of required function. Because of the complex system structure with serial, parallel and bridged connections, some certain subsystems or components are more critical than the others. The main concern of a reliability engineer is to identify potential failures and to prevent these failures from occurring. In order to prevent fatal failures, proper inspections and maintenance actions for each component are required Considering above objectives of reliability engineers and characteristics of a practical system, several practical method for evaluating system and component reliabilities have developed namely Birnbaum's and Fussell & Vesely's measures. However there are several critical weaknesses in traditional calculation process as the target system gets larger. In this paper, a new technique for calculating component's structural importance is proposed and compared to Birnbaum's with representative system examples (serial, parallel. k out of n, and bridge type).

행열변현에 의한 통신망의 신뢰도 계정에 관한 연구 (A Study on the Reliability Evaluation of Communication Networks by Matrix Transformation)

  • 김영근;오영환
    • 한국통신학회논문지
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    • 제13권5호
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    • pp.379-389
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    • 1988
  • 본 논문에서는 통신방의 2-상태 스취칭 실패함수를 구하기 위한 알고리즘과 단섭간 신뢰도 계성방법을 제시하였다. 통신망을 그래프로 모형화하고, 이 그래프에 대한 일련의 행열변환을 함으로서 모든 통신통로를 차단하는 최초컷-\ulcornerV 행열을 구하였으며 최소 컷-\ulcornerV행열로부터 2-상태 스위칭 실패함수를 구하였다. 또한 2-상태 스위칭 실패함수에 확률변수를 대응시켜 통신망의 단점간 신뢰도를 계정하였다. 제안된 알고리즘을 설명하기 위하여 몇가지 예를 보였으며 복잡하고 규모가 큰 망에 대한 단점간 신뢰도를 계정하기 위해서 전산기 프로그램을 제시하였다.

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