• 제목/요약/키워드: time distribution model

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A Stock Pre-positioning Model to Maximize the Total Expected Relief Demand of Disaster Areas

  • Lee, Woon-Seek;Kim, Byung Soo;Opit, Prudensy Febreine
    • Industrial Engineering and Management Systems
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    • 제13권3호
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    • pp.297-303
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    • 2014
  • Stock pre-positioning is one of the most important decisions for preparing the stage of emergency logistics planning. In this paper, a mixed integer model for stock pre-positioning is derived to support an emergency disaster relief response against the event of earthquake. A maximum response time limit, budget availability, multiple item types, and capacity restrictions are considered. In the model, the decision of the distribution centers to cover a disaster area and the amount of supplies to be stocked in each distribution center are simultaneously determined to maximize the total expected relief demand of the disaster areas covered by the existing distribution centers. The proposed model is applied to a real case with 33 disaster areas and 16 distribution centers in Indonesia. Several sensitivity analyses are conducted to estimate the fluctuation on the emergency stock pre-positioning planning by changing the maximum response time and budgets.

Joint Modeling of Death Times and Counts Using a Random Effects Model

  • Park, Hee-Chang;Klein, John P.
    • Journal of the Korean Data and Information Science Society
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    • 제16권4호
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    • pp.1017-1026
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    • 2005
  • We consider the problem of modeling count data where the observation period is determined by the survival time of the individual under study. We assume random effects or frailty model to allow for a possible association between the death times and the counts. We assume that, given a random effect, the death times follow a Weibull distribution with a rate that depends on some covariates. For the counts, given the random effect, a Poisson process is assumed with the intensity depending on time and the covariates. A gamma model is assumed for the random effect. Maximum likelihood estimators of the model parameters are obtained. The model is applied to data set of patients with breast cancer who received a bone marrow transplant. A model for the time to death and the number of supportive transfusions a patient received is constructed and consequences of the model are examined.

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지수 형 수명분포를 따르는 소프트웨어 신뢰모형 분석에 관한 연구 (A Study on the Software Reliability Model Analysis Following Exponential Type Life Distribution)

  • 김희철;문송철
    • Journal of Information Technology Applications and Management
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    • 제28권4호
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    • pp.13-20
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    • 2021
  • In this paper, I was applied the life distribution following linear failure rate distribution, Lindley distribution and Burr-Hatke exponential distribution extensively used in the arena of software reliability and were associated the reliability possessions of the software using the nonhomogeneous Poisson process with finite failure. Furthermore, the average value functions of the life distribution are non-increasing form. Case of the linear failure rate distribution (exponential distribution) than other models, the smaller the estimated value estimation error in comparison with the true value. In terms of accuracy, since Burr-Hatke exponential distribution and exponential distribution model in the linear failure rate distribution have small mean square error values, Burr-Hatke exponential distribution and exponential distribution models were stared as the well-organized model. Also, the linear failure rate distribution (exponential distribution) and Burr-Hatke exponential distribution model, which can be viewed as an effectual model in terms of goodness-of-fit because the larger assessed value of the coefficient of determination than other models. Through this study, software workers can use the design of mean square error, mean value function as a elementary recommendation for discovering software failures.

Empirical Prediction Models of 1-min Rain Rate Distribution for Various Integration Time

  • Jung, Myoung-Won;Han, Il-Tak;Choi, Moon-Young;Lee, Joo-Hwan;Pack, Jeong-Ki
    • Journal of electromagnetic engineering and science
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    • 제8권2호
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    • pp.84-89
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    • 2008
  • In a wireless channel above microwave frequency, rain attenuation is very important. In order to predict rain attenuation, 1-min. rain rate distribution is required. This paper discusses appropriate conversion methods to estimate 1-minute rain rate from that of other integration time. Based on the measurement data filed in ITU-R WP3J including ETRI data for 6 consecutive years, distributions of rain rate with 1-, 5-, 10-, 20-, 30-minute integration time were analyzed, both on the global and regional basis, and the parametric relationship between the statistical characteristics of 1-minute and other measurement data were investigated to deduce the conversion methods. It is shown that the global model works good with good accuracy for 5-, 10-, 20-min integration time, and the global model is also applicable globally with good accuracy for 5-, 10-, 20-min integration time. The global conversion model was adopted last year as an ITU-R document for new recommendation. The regional conversion model would also be very useful for locations of similar climatic zone.

Quantitative microbial risk assessment of Campylobacter jejuni in jerky in Korea

  • Ha, Jimyeong;Lee, Heeyoung;Kim, Sejeong;Lee, Jeeyeon;Lee, Soomin;Choi, Yukyung;Oh, Hyemin;Yoon, Yohan
    • Asian-Australasian Journal of Animal Sciences
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    • 제32권2호
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    • pp.274-281
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    • 2019
  • Objective: The objective of this study was to estimate the risk of Campylobacter jejuni (C. jejuni) infection from various jerky products in Korea. Methods: For the exposure assessment, the prevalence and predictive models of C. jejuni in the jerky and the temperature and time of the distribution and storage were investigated. In addition, the consumption amounts and frequencies of the products were also investigated. The data for C. jejuni for the prevalence, distribution temperature, distribution time, consumption amount, and consumption frequency were fitted with the @RISK fitting program to obtain appropriate probabilistic distributions. Subsequently, the dose-response models for Campylobacter were researched in the literature. Eventually, the distributions, predictive model, and dose-response model were used to make a simulation model with @RISK to estimate the risk of C. jejuni foodborne illness from the intake of jerky. Results: Among 275 jerky samples, there were no C. jejuni positive samples, and thus, the initial contamination level was statistically predicted with the RiskUniform distribution [RiskUniform (-2, 0.48)]. To describe the changes in the C. jejuni cell counts during distribution and storage, the developed predictive models with the Weibull model (primary model) and polynomial model (secondary model) were utilized. The appropriate probabilistic distribution was the BetaGeneral distribution, and it showed that the average jerky consumption was 51.83 g/d with a frequency of 0.61%. The developed simulation model from this data series and the dose-response model (Beta Poisson model) showed that the risk of C. jejuni foodborne illness per day per person from jerky consumption was $1.56{\times}10^{-12}$. Conclusion: This result suggests that the risk of C. jejuni in jerky could be considered low in Korea.

Two model comparisons of software reliability analysis for Burr type XII distribution

  • An, Jeong-Hyang
    • Journal of the Korean Data and Information Science Society
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    • 제23권4호
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    • pp.815-823
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    • 2012
  • In this paper reliability growth model in which the operating time between successive failure is a continuous random variable is proposed. This model is for Burr type XII distribution with two parameters which is discussed in two versions: the order statistics and non-homogeneous Poisson process. The two software reliability measures are obtained. The performance for two versions of the suggested model is tested on real data set by U-plot and Y-plot using Kolmogorov distance.

일반화 감마분포에 근거한 소프트웨어 최적방출시기에 관한 비교 연구 (A Study on Optimal Release Time for Software Systems based on Generalized Gamma Distribution)

  • 김재욱;김희철
    • 디지털산업정보학회논문지
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    • 제6권1호
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    • pp.55-67
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    • 2010
  • Decision problem called an optimal release policies, after testing a software system in development phase and transfer it to the user, is studied. The applied model of release time exploited infinite non-homogeneous Poisson process. This infinite non-homogeneous Poisson process is a model which reflects the possibility of introducing new faults when correcting or modifying the software. The failure life-cycle distribution used generalized gamma type distribution which has the efficient various property because of various shape and scale parameter. Thus, software release policies which minimize a total average software cost of development and maintenance under the constraint of satisfying a software reliability requirement becomes an optimal release policies. In a numerical example, after trend test applied and estimated the parameters using maximum likelihood estimation of inter-failure time data, estimated software optimal release time.

사용단계에서 주기적 서비스 팩 배포와 불확실한 패치 배포를 고려한 소프트웨어의 최적 출시시기 (Optimal Release Time for Software Considering Distribution of Periodic Service Packs and Uncertain Patches during Operational Phase)

  • 박일광;공명복
    • 대한산업공학회지
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    • 제33권4호
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    • pp.487-493
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    • 2007
  • In this paper, we deal with an optimal software-release problem of determining the time to stop testing and release the software system to the user. The optimal release time problem is considered from maintenance like the periodic distribution of service packs and the unpredictable distribution of patches after the release. Moreover, the environment of software error-detection during operation differs from the environment during testing. This paper proposes the software reliability growth model which incorporates periodic service packs, unpredictable patches and operational environment. Based on the proposed model, we derive optimal release time to minimize total cost composed of fixing an error, testing and maintenance. Using numerical examples, optimal release time is determined and illustrated.

벌크재료의 신뢰성보증을 위한 샘플링검사 방식 (A Bulk Sampling Plan for Reliability Assurance)

  • 김동철;김종걸
    • 대한안전경영과학회지
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    • 제9권2호
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    • pp.123-134
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    • 2007
  • This paper focuses on the in-house reliability assurance plan for the bulk materials of each company. The reliability assurance needs in essence a long time and high cost for testing the materials. In order to reduce the time and cost, accelerated life test is adopted. The bulk sampling technique was used for acceptance. Design parameters might be total sample size(segments and increments}, stress level and so on. We focus on deciding the sample size by minimizing the asymptotic variance of test statistics as well as satisfying the consumer's risk. In bulk sampling, we also induce the sample size by adapting the normal life time distribution model when the variable of the lognormal life time distribution is transformed and adapted to the model. In addition, the sample size for both the segments and increments can be induced by minimizing the asymptotic variance of test statistics of the segments and increments with consumer's risk met. We can assure the reliability of the mean life and B100p life time of the bulk materials by using the calculated minimum sample size.

극값 분포 특성을 가진 소프트웨어 신뢰성 보증 모형에 관한 비교연구 (The Comparative Study of the Warranty Cost Model for Software Reliability Time Based on Extreme Value Distribution)

  • 김희철
    • 한국통신학회논문지
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    • 제34권6B호
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    • pp.623-629
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    • 2009
  • 본 연구에서는 소프트웨어 제품을 개발하는 과정에서 보증기간을 고려하여 사용자에게 인도하는 시기를 결정하는 방출시기에 관한 모형의 비교 연구이다. 실증 비교 결과 지수화 소프트웨어 신뢰성장모형에서는 보증기간이 증가함에 따라 초기에는 최적방출시기가 증가했으나 점차 거의 유사한 방출시기를 나타내고 있으며 이와 반대로 불완전한 디버깅 소프트웨어 신뢰성장 모형에서는 초기에는 최적방출시기가 감소하였으나 보증기간이 길수록 소폭 증가하는 패턴을 보이고 있으며 제안된 극값모형은 점차적으로 증가하는 형태를 가진다는 결론을 도출 할 수 있다. 이러한 연구결과를 통하여 소프트웨어 개발자들은 보증기간과 방출최적시기의 관계를 파악함으로서 소프트웨어 개발 시 사전정보로 활용 할 수 있으리라 사료된다.