• Journal of the Korean Operations Research and Management Science Society
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• v.28 no.4
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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.

• The Transactions of the Korean Institute of Electrical Engineers A
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• v.52 no.1
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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.

• Journal of the Korean Institute of Educational Facilities
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• v.16 no.1
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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.

• Journal of Korean Society of Forest Science
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• v.99 no.5
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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.

• Proceedings of the Korean Reliability Society Conference
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• 2000.11a
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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.

• Journal of the Korea Safety Management & Science
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• v.1 no.1
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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.

• Korean Journal of Environment and Ecology
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• v.23 no.4
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• pp.346-352
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• 2009

This study was conducted in order to provide as a basic materials of sea cliff vegetation structure through distribution related with the landform and growth pattern of mixed growth plants by ordination method in the Peucedanum japonicum community of Korea. The mixed growth plants of frequency over 10% growth with Peucedanum japonicum community of sea cliff was investigated as a total 26 species, and the frequency of appearing plants was the highest in the Aster spathulifolius(55.7%). Growing pattern of mixed growth plants was a difference by the landform factors as such the inland side, coastline side, flat and slope. Growing pattern was classified into typicality type, one-sided type and complex type. Growing pattern of the typicality type was good distribution in total landform factors, the one-sided type was good distribution in 1 landform factor and the complex type was good distribution in 2 landform factors. In growing pattern of mixed growth plants with Peucedanum japonicum, Artemisia capillaris and Sedum oryzifolium was typicality type, Elymus dahuricus and Artemisia princeps was one-sided type, and Aster spathulifolius, Miscanthus sinensis, Calystegia soldanella and Lysimachia mauritiana was complex type. In total plants of mixed growth, growing pattern of 16 species of 61.5% was good as complex type.

• Proceedings of the Korean Society for Quality Management Conference
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• 1998.11a
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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

• Journal of the Korean Society of Marine Environment & Safety
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• v.26 no.7
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• pp.864-872
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• 2020

In accordance with the sulfur regulations of the International Maritime Organization (IMO), very low sulfur fuel oil (VLSFO) shows various production-dependent physico-chemical properties. This study aims to use as basic data for oil spill response according to study of physico-chemical characteristics of VLSFO and mixed fuel oil of VLSFO-HSFO. The mixed fuel oil was prepared by mixing 25, 50, 75 mass% of HSFO with VLSFO containing 0.46 and 0.36 mass% of sulfur. The physico-chemical properties such as the kinematic viscosity, pour point and distribution of Saturates, Aromatics, Resins, and Asphaltenes (SARA) were studied in the laboratory. As mixed of 75 mass% of HSFO with high the kinematic viscosity and low pour point in VLSFO, the kinematic viscosity of the mixed fuel oil increased to 350.2 %, and VLSFO with pour point of 23℃ and -11℃ lowered or raised to -3℃ and -6℃ respectively. As HSFO was mixed in VLSFO with a small Asphaltenes distribution, the Saturates distribution decreased to 68.8% and Asphaltenes distribution increased to 1,417 % dramatically.

• Wind and Structures
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• v.19 no.5
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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.