• 제목/요약/키워드: mixed distribution

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혼합 얼랑 확률변수의 극한치 (Extreme Values of Mixed Erlang Random Variables)

  • Kang, Sung-Yeol
    • 한국경영과학회지
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    • 제28권4호
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    • pp.145-153
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    • 2003
  • In this Paper, we examine the limiting distributional behaviour of extreme values of mixed Erlang random variables. We show that, in the finite mixture of Erlang distributions, the component distribution with an asymptotically dominant tail has a critical effect on the asymptotic extreme behavior of the mixture distribution and it converges to the Gumbel extreme-value distribution. Normalizing constants are also established. We apply this result to characterize the asymptotic distribution of maxima of sojourn times in M/M/s queuing system. We also show that Erlang mixtures with continuous mixing may converge to the Gumbel or Type II extreme-value distribution depending on their mixing distributions, considering two special cases of uniform mixing and exponential mixing.

전력시장 해석을 위한 Bi-matrix 게임의 이산화 알고리즘 (A Discretization Algorithm for Bi-Matrix Game Approach to Power Market Analysis)

  • 이광호
    • 대한전기학회논문지:전력기술부문A
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    • 제52권1호
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    • pp.62-67
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    • 2003
  • An important aspect of the study of power system markets involves the assessment of strategic behavior of participants for maximizing their profits. In models of imperfect competition of a deregulated electricity system, the key task is to find the Nash equilibrium. In this paper, the bimatrix approach for finding Nash equilibria in electricity markets is investigated. This approach determines pure and mixed equilibria using the complementarity pivot algorithim. The mixed equilibrium in the matrix approach has the equal number of non-zero property. This property makes it difficult to reproduce a smooth continuous distribution for the mixed equilibrium. This paper proposes an algorithm for adjusting the quantization value of discretization to reconstruct a continuous distribution from a discrete one.

학교시설과 지역시설과의 복합화 방안에 관한 연구 (A Study on the Functional Mixed-use between School Buildings and Community Facilities)

  • 김승제
    • 교육시설
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    • 제16권1호
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    • pp.51-58
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    • 2009
  • The purpose of this study is to have a guideline for mixed-use between school buildings and the community facilities as one of the suggestions to satisfy the needs of the society and to overcome the limitations of the supply of regional facilities. Main contents of this study are as a follow : 1) Arrangement of concept for mixed-use facilities, 2) Classification of community facilities for school buildings. 3) Distribution of school buildings in Nowon-Gu 4) Distribution of community facilities in Nowon-Gu 5) A proposal of mixed-use guide line between school buildings and public office.

The Classification of Forest Communities by Cluster Analysis in Mt. Seokbyung Experimental Forest of Gangwon-Do

  • Chung, Sang-Hoon;Kim, Ji-Hong
    • 한국산림과학회지
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    • 제99권5호
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    • pp.736-743
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    • 2010
  • This study examined the ecological attributes of classified forest community by cluster analysis in the mixed forest of Mt. Seokbyung Experimental Forest of Gangwon-Do. The vegetation data were collected in randomly established 51 sample plots (2.04 ha) and analysis adopted the cluster analysis, importance value index, and Shannon's diversity index. Main results were as follows; 1) the study area was classified into 4 clusters (A, B, C and D). 2) The cluster A was dominated by Pinus densiflora with an importance value of 71.6%. The most dominant species in the cluster B and cluster C were Larix leptolepis (57.1%) and Quercus mongolica (40.2%), respectively. Finally, The cluster D was dominated by P. densiflora (30.6%) and Q. mongolica (31.0%) with the mixed forest. 3) In the P. densiflora community (cluster A), distribution of DBH class showed a reverse J-shaped curve. In the L. leptolepis community (cluster B), individuals of dominant species had the bell-shaped distribution. Oak species indicated uniform distribution of DBH class (under 25 cm) in the mixed P. densiflora - Q. mongolica community (cluster D). 4) The species diversity index of the communities in descending order were: Pinus densiflora - Q. mongolica community > Larix leptolepis community > Pinus densiflora community > Quercus mongolica community.

Bayesian Burn-in Procedures for LFPs with the Mixed Binomial Prior Distribution for the Number of Defectives

  • Kwon, Young-Il
    • 한국신뢰성학회:학술대회논문집
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    • 한국신뢰성학회 2000년도 추계학술대회
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    • pp.373-373
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    • 2000
  • Bum-in procedures are developed far limited failure populations in which defective products fail soon after they are put in operation and non-defective ones never fail during the technological life of the products. The situation where products are produced from a production process with variable fraction defective is considered. Bum-in schemes guaranteeing pre-specified outgoing quality of products are derived using the mixed binomial prior distribution for the number of defectives in a batch.

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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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한반도 해식애 갯기름나물(식방풍)군락의 동반 출현식물 분포양상 (Distribution Pattern of Growth Plants with Peucedanum japonicum Community in Sea Cliff Plants, Korea)

  • 송홍선;조우;박용진
    • 한국환경생태학회지
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    • 제23권4호
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    • pp.346-352
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    • 2009
  • 본 연구는 해식애 식생구조의 기초자료로 제공하기 위하여 배열법으로 갯기름나물군락과 동반출현하여 혼생하는 주요 식물의 지형적 분포 및 생육 양상을 분석하였다. 해식애의 갯기름나물군락에서 10% 이상의 출현빈도를 나타내는 혼생식물은 26종이었으며, 출현 빈도가 가장 높은 식물은 해국(55.7%)이었다. 갯기름나물군락의 혼생식물은 내륙육지 방향, 해안선방향, 평탄면, 사면 등의 지형요인별 분포 및 생육 양상을 달러하였다. 그리고 분포 및 생육 양상은 모든 지형요인에서 차이가 없이 고르게 분포하는 전형적 형태, 1개의 지형요인에서 양호한 분포를 나타내는 일방적 형태, 2개 또는 그 이상의 지형요인에서 양호한 분포를 보이는 복합적 형태로 구분되었다. 사철쑥과 땅채송화 등은 전형적 형태, 갯보리와 쑥 등은 일방적 형태의 분포 및 생육 양상을 나타내었고, 해국억새 갯메꽃 갯까치수영 등 16종(전체 혼생식물의 61.5%)의 식물이 복합적 형태로 갯기름나물과 혼생하여 양호한 생육을 보였다.

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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저유황-고유황 혼합연료유의 물리화학적 특성연구 (A Study on Physico-Chemical Properties on Mixed Fuel Oil of Very Low Sulfur Fuel Oil-High Sulfur Fuel Oil (VLSFO-HSFO))

  • 송인철;신수현;김새미;이희진;서정목
    • 해양환경안전학회지
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    • 제26권7호
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    • pp.864-872
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    • 2020
  • 국제해사기구(IMO)의 황함유량 규제에 따르는 저유황연료유는 생산 공정에 따라 다양한 물리화학적 특성을 가지게 된다. 본 연구는 저유황연료유 및 저유황-고유황 혼합연료유의 물리화학적 특성연구 결과를 해양오염 방제대응의 기초자료로 활용하고자 한다. 연구에 사용된 혼합연료유는 황함유량이 0.46 mass%인 저유황연료유와 0.36 mass%인 저유황연료유에 고유황연료유를 25, 50, 75 mass% 혼합하여 제조하였다. 이 혼합연료유에 대해 동점도, 유동점 및 Saturates, Aromatics, Resins, Asphaltenes(SARA)분포 등 물리화학적 특성에 대해 실험실 연구를 하였다. 동점도가 높고 유동점이 낮은 특징의 고유황연료유가 75 mass% 혼합함에 따라, 혼합연료유의 동점도는 350.2 %까지 증가 하였으며, 유동점이 23℃와 -11℃의 저유황연료유는 각각 -3℃ 및 -6℃까지 유동점이 내려가거나 올라갔다. Asphaltenes 분포가 적은 저유황연료유에 고유황연료유를 혼합함에 따라, Saturates분포는 68.8 %까지 감소하고, Asphaltenes분포는 1,417 %까지 크게 증가하였다.

Extreme wind speeds from multiple wind hazards excluding tropical cyclones

  • Lombardo, Franklin T.
    • Wind and Structures
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    • 제19권5호
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    • pp.467-480
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    • 2014
  • The estimation of wind speed values used in codes and standards is an integral part of the wind load evaluation process. In a number of codes and standards, wind speeds outside of tropical cyclone prone regions are estimated using a single probability distribution developed from observed wind speed data, with no distinction made between the types of causal wind hazard (e.g., thunderstorm). Non-tropical cyclone wind hazards (i.e., thunderstorm, non-thunderstorm) have been shown to possess different probability distributions and estimation of non-tropical cyclone wind speeds based on a single probability distribution has been shown to underestimate wind speeds. Current treatment of non-tropical cyclone wind hazards in worldwide codes and standards is touched upon in this work. Meteorological data is available at a considerable number of United States (U.S.) stations that have information on wind speed as well as the type of causal wind hazard. In this paper, probability distributions are fit to distinct storm types (i.e., thunderstorm and non-thunderstorm) and the results of these distributions are compared to fitting a single probability distribution to all data regardless of storm type (i.e., co-mingled). Distributions fitted to data separated by storm type and co-mingled data will also be compared to a derived (i.e., "mixed") probability distribution considering multiple storm types independently. This paper will analyze two extreme value distributions (e.g., Gumbel, generalized Pareto). It is shown that mixed probability distribution, on average, is a more conservative measure for extreme wind speed estimation. Using a mixed distribution is especially conservative in situations where a given wind speed value for either storm type has a similar probability of occurrence, and/or when a less frequent storm type produces the highest overall wind speeds. U.S. areas prone to multiple non-tropical cyclone wind hazards are identified.