• 제목/요약/키워드: time distribution model

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수영만의 생태계모델링에 의한 물질분포 (The Material Distribution by the Ecosystem Modeling in Suyoung Bay)

  • 김동선;조규대
    • 한국환경과학회지
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    • 제7권6호
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    • pp.817-825
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    • 1998
  • A three-dimensional ecosystem model is applied to the Suyoung Bay, located at the southeastern part of Korea, to study of the material distribution in the time scale of several tens days. The model has included of the DIN(Dissolved Inorganic Nitrogen), DIP(Dissolved Inorganic Phosphate), phytoplankton, zooplankton and detritus, and also was coupled with the physical processes. The spatial distribution of chlorophyll-a and primary productivity in the model is determined by the physical and chemical-biological parameters. The horizontal distributions of the DIN, DIP and chlorophyll-a are decreased from the coast to the off-shore, though the nutrients show some more complicated pattern than the chlorophyll-a. The nutrient contents in the off-shore are low, and thus a relatively low productivity(chlorophyll-a) are presented. On the whole, the distribution of the results of model are smoother than the observed ones and some small scale variation in the observed data cannot be reproduced by the model due to the resolution limits of model. However, the basic pattern and the quantitavities has been reproduced by the model well.

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sudden death 시험에 대한 고찰 (A Note on Sudden Death Tests)

  • 서순근
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제12권3호
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    • pp.139-152
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    • 2012
  • Successive and simultaneous sudden death tests are compared with the complete and Type II censored samples in terms of expected test duration and Total Time on Test(TTT) subject to the same number of failures in order to maintain the equal statistical precision under Weibull lifetime distribution with known shape parameter. Also, two sudden death tests under a proposed cost model are discussed and a numerical example is provided to illustrate the use of the proposed cost model.

An Economic Life Test Sampling Plan for Repairable Products with Exponential Interfailure Time Distribution

  • Kwon, Young Il
    • 품질경영학회지
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    • 제21권1호
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    • pp.108-120
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    • 1993
  • In this article an economic life test sampling plan is considered for repairable products when the products in each lot have the same interfailure time distribution, but the mean time between failure (MTBF) of a lot varies from lot to lot according to a known prior distribution. A cost model is constructed which consists of test cost, accept cost, and reject cost. Determination of the optimal plan which minimizes the expected average cost per lot is discussed. Numerical examples are presented to illustrate the use of the proposed sampling plans and sensitivity analyses for parameters of the prior distribution are performed.

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확률계수 열화율 모형하에서 열화자료의 통계적 분석 (Statistical Analysis of Degradation Data under a Random Coefficient Rate Model)

  • 서순근;이수진;조유희
    • 품질경영학회지
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    • 제34권3호
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    • pp.19-30
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    • 2006
  • For highly reliable products, it is difficult to assess the lifetime of the products with traditional life tests. Accordingly, a recent approach is to observe the performance degradation of product during the test rather than regular failure time. This study compares performances of three methods(i.e. the approximation, analytical and numerical methods) to estimate the parameters and quantiles of the lifetime when the time-to-failure distribution follows Weibull and lognormal distributions under a random coefficient degradation rate model. Numerical experiments are also conducted to investigate the effects of model error such as measurements in a random coefficient model.

Maximum penalized likelihood estimation for a stress-strength reliability model using complete and incomplete data

  • Hassan, Marwa Khalil
    • Communications for Statistical Applications and Methods
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    • 제25권4호
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    • pp.355-371
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    • 2018
  • The two parameter negative exponential distribution has many practical applications in queuing theory such as the service times of agents in system, the time it takes before your next telephone call, the time until a radioactive practical decays, the distance between mutations on a DNA strand, and the extreme values of annual snowfall or rainfall; consequently, has many applications in reliability systems. This paper considers an estimation problem of stress-strength model with two parameter negative parameter exponential distribution. We introduce a maximum penalized likelihood method, Bayes estimator using Lindley approximation to estimate stress-strength model and compare the proposed estimators with regular maximum likelihood estimator for complete data. We also introduce a maximum penalized likelihood method, Bayes estimator using a Markov chain Mote Carlo technique for incomplete data. A Monte Carlo simulation study is performed to compare stress-strength model estimates. Real data is used as a practical application of the proposed model.

Analysis of Unfinished Work and Queue Waiting Time for the M/G/1 Queue with D-policy

  • Park, Yon-Il;Chae, Kyung-Chul
    • Journal of the Korean Statistical Society
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    • 제28권4호
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    • pp.523-533
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    • 1999
  • We consider the M/G/1 queueing model with D-policy. The server is turned off at the end of each busy period and is activated again only when the sum of the service times of all waiting customers exceeds a fixed value D. We obtain the distribution of unfinished work and show that the unfinished work decomposes into two random variables, one of which is the unfinished work of ordinary M/G/1 queue. We also derive the distribution of queue waiting time.

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TRANSIENT ANALYSIS OF A QUEUEING SYSTEM WITH MARKOV-MODULATED BERNOULLI ARRIVALS AND OVERLOAD CONTROL

  • Choi, Doo-Il
    • Journal of applied mathematics & informatics
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    • 제15권1_2호
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    • pp.405-414
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    • 2004
  • This paper considers overload control in telecommunication networks. Markov-modulated Bernoulli process ( MMBP ) has been extensively used to model bursty traffics with time-correlation. Thus, we investigate the transient behavior of the queueing system MMBP/D/l/K queue with two thresholds. The model is analyzed recursively by using the generating function method. We obtain the transient queue length distribution and waiting time distribution at an arbitrary time. The transient behavior of the queueing system helps observing the temporary system behavior.

형상모수를 고려한 소프트웨어 신뢰성 비용 모형에 관한 비교 연구 (The Comparative Software Reliability Cost Model of Considering Shape Parameter)

  • 김경수;김희철
    • 디지털융복합연구
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    • 제12권3호
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    • pp.219-226
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    • 2014
  • 본 연구에서는 소프트웨어 제품 테스팅 과정에서 고장 수명분포의 형상모수를 고려한 소프트웨어 신뢰성 비용 모형에 대하여 연구 하였다. 신뢰성 분야에서 많이 사용되는 어랑 분포와 로그-로지스틱 모형을 이용한 형상모수를 반영한 문제를 제시하였다. 소프트웨어 고장모형은 유한고장 비동질적인 포아송과정을 이용하고 모수추정법은 최우추정법을 이용 하였다. 따라서 본 논문에서는 형상모수를 고려한 소프트웨어 비용모형 분석을 위하여 소프트웨어 고장 시간 자료를 적용하여 비교 분석하였다. 본 연구에서 사용된 어랑 분포와 로그-로지스틱분포에 근거한 소프트웨어 비용 모델을 비교한 결과 어랑 모형은 최적의 소프트웨어 방출 시간을 예측 할 수 있지만 로그-로지스틱 모형은 방출시간을 예측 할 수 없기 때문에 로그-로지스틱 보다 어랑 모형이 보다 효율적으로 나타나고 있다. 이 연구를 통하여 소프트웨어 개발자들은 소프트웨어 개발 비용을 파악 하는데 어느 정도 도움을 줄 수 있을 것으로 사료된다.

Boundary Elements Heat Transfer Model of Temperature Distribution in Grain Storage Bins

  • T.Abe;C.E.Ofoche;Y.Hikida;Han, D.H.
    • 한국농업기계학회:학술대회논문집
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    • 한국농업기계학회 1993년도 Proceedings of International Conference for Agricultural Machinery and Process Engineering
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    • pp.922-931
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    • 1993
  • Boundary element method was used to solve heat conduction problem for predicting temperature distribution in grain storage bin. Temperature of grain in storage is one of the three main abiotic factors, besides the intergranular gas composition and the grain moisture content, that determine the keeping quality and control measures used to protect grain from insects and damaging microflora. Collecting the temperature data at various points in the storage bins at different time of the day over a period of time is one way of finding the temperature distribution, this method requires a lot of time, cost and labour and less efficient. However data so collected serve useful purpose of being used to validate predicted temperature distribution using mathematical models. Mathematical models based on physical principles can potentially predict with accuracy the temperature distribution in a grain storage bin. Using the boundary element model the effect of bin wall material, ambient emperature, bin size etc. on temperature distribution can be studied. A knowledge of temperature distribution in stored grain not only helps in identifying active deterioration , but also gives an indication of potential for detection.

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이질적 버스트 입력 트래픽 환경에서 패킷 교환기의 연속 시간 큐잉 모델과 근사 계산 알고리즘 ((Continuous-Time Queuing Model and Approximation Algorithm of a Packet Switch under Heterogeneous Bursty Traffic))

  • 홍석원
    • 한국정보과학회논문지:정보통신
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    • 제30권3호
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    • pp.416-423
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    • 2003
  • 본 논문에서는 버퍼를 공유하는 패킷 교환기의 연속 시간 큐잉 모델을 제시하고 큐 길이 확률 분포를 구하는 근사 계산 알고리즘을 제안한다. N 개의 입력 프로세스는 상호 이질적인 버스트 특성을 갖는다. 입력 프로세스는 계차-2 콕시안 분포로서 모형화하며 서버의 서비스 시간은 계차-r 얼랑 분포로서 모형화한다. 근사 알고리즘은 통합된 상태 변수를 사용하여 큐잉 시스템을 표현한다. 먼저 N개의 입력프로세스는 하나의 통합된 상태 변수로 나타내며 큐잉 시스템은 서브 시스템으로 분해하고 이것을 통합된 상태 변수로 나타낸다. 그리고 이러한 통합된 상태 변수를 사용하여 반복적인 방법에 의해서 상태 방정식의 해를 유도한다. 근사 알고리즘의 타당성은 시뮬레이션을 통해서 검증한다.