• 제목/요약/키워드: bimodal Weibull distribution

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A bimodal Weibull distribution - capacity factor for different heights at sulur

  • Seshaiah, C.V.;Indhumathy, D.
    • Wind and Structures
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    • 제28권1호
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    • pp.63-70
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    • 2019
  • Due to developing environmental concern use of renewable energy source is very essential. The great demand for the energy supply coupled with inadequate energy sources creates an emergency to find a new solution for the energy shortage. The appropriate wind energy distribution is the fundamental requirement for the assessment of wind energy potential available at the particular site essential for the design of wind farms. Hence the proper specification of the wind speed distribution plays a vital role. In this paper the Bimodal Weibull distribution is used to estimate the Capacity factor at the proposed site. The shape and scale parameters estimated using Maximum likelihood method is used as the initial value for extrapolation. Application of this model will give an accurate result overwhelming the concept of overestimation or underestimation of Capacity factor.

Optimal Burn-In under Warranty

  • Kim, Kuinam-J;Park, Chi-Yeon
    • 대한안전경영과학회지
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    • 제1권1호
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    • pp.135-143
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    • 1999
  • This paper discusses an optimal burn-in procedure to minimize total costs based on the assumption that the failure rate pattern follows a bimodal mixed Weibull distribution. The procedure will consider warranty period as a factor of the total expected bum-in cost. A cost model is formulated to find the optimal burn-in time that minimizes the expected burn-in cost. Conditional reliability for warranty period will be discussed. An illustrative example is included to show how to use the cost model in practice.

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무료보증정책하에서 이봉-혼합 와이블 분포를 고려한 Burn-in 모형의 민감도 분석 (Sensitivity Analysis of Burn-in Model considering Bimodal-Mixed Weibull Distribution under Free Warranty Policy)

  • 송서일;조영찬;박현규;손한덕
    • 한국품질경영학회:학술대회논문집
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    • 한국품질경영학회 1998년도 The 12th Asia Quality Management Symposium* Total Quality Management for Restoring Competitiveness
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    • pp.544-555
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    • 1998
  • Although the bimodal mixed weibull distribution is used to developing burn-in model widely, the failure times for a component or a system is often truncated at some time, T, due to the obsolescence in the electronics industry. In this paper, we will determine minimum total cost and burn-in time by using the bimodal mixed weibull distribution and the truncated bimodal mixed weibull distribution under the free warranty policy. The results of this study are summarized as follows. First, when products or system is not repairable, the width of the change of burn-in time can be larger by ${\beta}_1,\;{\beta}_2$ Second, if burn-in time become longer, it will be impossible to consider the bum-in in a long time, and in this case, the burn-in time should be shorten by the acceleration burn-in. Third, in case that opportunity loss cost or repair cost is exceed the warranty cost, or the total cost of considering burn-in is larger than that of not considering burn-in, it is not existed burn-in time which makes total cost to minimize. Forth, the shorter life-cycle of product, the more burn-in times will be decreased and the cost in considering burn-in will be increased

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Mathematical modeling of wind power estimation using multiple parameter Weibull distribution

  • Chalamcharla, Seshaiah C.V.;Doraiswamy, Indhumathy D.
    • Wind and Structures
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    • 제23권4호
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    • pp.351-366
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    • 2016
  • Nowadays, wind energy is the most rapidly developing technology and energy source and it is reusable. Due to its cleanliness and reusability, there have been rapid developments made on transferring the wind energy systems to electric energy systems. Converting the wind energy to electrical energy can be done only with the wind turbines. So installing a wind turbine depends on the wind speed at that location. The expected wind power can be estimated using a perfect probability distribution. In this paper Weibull and Weibull distribution with multiple parameters has been used in deriving the mathematical expression for estimating the wind power. Statistically the parameters of Weibull and Weibull distribution are estimated using the maximum likelihood techniques. We derive a probability distribution for the power output of a wind turbine with given rated wind speeds for the regions where the wind speed histograms present a bimodal pdf and compute the first order moment of this distribution.

Optimal Burn-In under Warranty

  • Kim, Kui-Nam J.;Park, Chi-Yeon;Hong, Chan-Geui
    • 대한안전경영과학회:학술대회논문집
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    • 대한안전경영과학회 1999년도 추계학술대회
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    • pp.147-155
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    • 1999
  • This paper discusses an optimal burn-in procedure to minimize total costs based on the assumption that the failure rate pattern follows a bimodal mixed Weibull distribution. The procedure will consider warranty period as a factor of the total expected burn-in cost. A cost model is formulated to find the optimal burn-in time that minimizes the expected burn-in cost. Conditional reliability for warranty period will be discussed. An illustrative example is included to show how to use the cost model in practice.

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Tree Size Distribution Modelling: Moving from Complexity to Finite Mixture

  • Ogana, Friday Nwabueze;Chukwu, Onyekachi;Ajayi, Samuel
    • Journal of Forest and Environmental Science
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    • 제36권1호
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    • pp.7-16
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    • 2020
  • Tree size distribution modelling is an integral part of forest management. Most distribution yield systems rely on some flexible probability models. In this study, a simple finite mixture of two components two-parameter Weibull distribution was compared with complex four-parameter distributions in terms of their fitness to predict tree size distribution of teak (Tectona grandis Linn f) plantations. Also, a system of equation was developed using Seemingly Unrelated Regression wherein the size distributions of the stand were predicted. Generalized beta, Johnson's SB, Logit-Logistic and generalized Weibull distributions were the four-parameter distributions considered. The Kolmogorov-Smirnov test and negative log-likelihood value were used to assess the distributions. The results show that the simple finite mixture outperformed the four-parameter distributions especially in stands that are bimodal and heavily skewed. Twelve models were developed in the system of equation-one for predicting mean diameter, seven for predicting percentiles and four for predicting the parameters of the finite mixture distribution. Predictions from the system of equation are reasonable and compare well with observed distributions of the stand. This simplified mixture would allow for wider application in distribution modelling and can also be integrated as component model in stand density management diagram.

Optimal Burn-In under Waranty

  • Kim, Kui-Nam;Lee, Kwang-Ho
    • Communications for Statistical Applications and Methods
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    • 제6권3호
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    • pp.719-728
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    • 1999
  • This paper discusses an optimal burn-in procedure to minimize total costs based on the assumption that the failure rate pattern follows a bimodal mixed Weibull distribution. The procedure will consider warranty period as a factor of the total expected burn-in cost. A cost model is formulated to find the optimal burn-in time that minimizes the expected burn-in cost. Conditional reliability for warranty period will be discussed. An illustrative example is included to show how to use the cost model in prctice.

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미세역학시험법과 접촉각 측정을 통한 변형된 Jute와 Hemp섬유 강화 Polypropylene (PP)-Maleic Anhydride Polypropylene Copolymers (PP-MAPP) 복합재료의 계면 및 표면에너지 평가 (Interfacial and Surface Energies Evaluation of Modified Jute and Hemp Fibers/Polypropylene (PP)-Maleic Anhydride Polypropylene Copolymers (PP-MAPP) Composites using Micromechanical Technique and Contact Angle Measurement)

  • 박종만;트란콩손;정진규;김성주;황병선
    • 접착 및 계면
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    • 제7권2호
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    • pp.1-11
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    • 2006
  • 미처리 Jute와 Hemp섬유와 처리된 Jute와 Hemp섬유가 강화된 polypropylene-maleic anhydride-g-polypropylene copolymer (PP-MAPP) 복합재료의 계면 물성을 미세역학시험법과 동적접촉각 측정을 통해서 평가하였다. Jute와 Hemp섬유의 통계적인 인장강도의 경우 두 형태 와이블 분포가 단일 형태 분포보다 더 일치하는 것을 확인할 수 있었다. 천연섬유 복합재료의 계면전단강도(IFSS)에 대한 산-염기 상호작용변수는 접착일($W_a$)의 계산을 통해 그 특성을 기술 할 수 있다. 천연섬유에 대한 알칼리, 실란커플링제의 영향은 PP-MAPP 기지재의 MAPP 함량을 변화시킴으로써 얻을 수 있었다. 알칼리 처리된 Jute와 Hemp섬유의 경우 약한 계면층이 모두 제거되고 표면적이 증가됨으로 인해 표면에너지는 더 증가하였다. 반면 실란 커플링제를 이용하여 표면 처리된 Jute와 Hemp 섬유의 경우 차단된 높은 에너지의 기들로 인해 표면에너지는 감소하였다. PP-MAPP기지재속의 MAPP의 함량증가는 산-염기 기의 도입으로 인해 표면에너지는 증가하였다. 두 천연섬유 복합재료의 미세파괴 형상은 두 섬유의 인장강도가 다르기 때문에 명확히 구분되었다.

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