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Analysis of an M/G/1/K Queueing System with Queue-Length Dependent Service and Arrival Rates (시스템 내 고객 수에 따라 서비스율과 도착율을 조절하는 M/G/1/K 대기행렬의 분석)

  • Choi, Doo-Il;Lim, Dae-Eun
    • Journal of the Korea Society for Simulation
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    • v.24 no.3
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    • pp.27-35
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    • 2015
  • We analyze an M/G/1/K queueing system with queue-length dependent service and arrival rates. There are a single server and a buffer with finite capacity K including a customer in service. The customers are served by a first-come-first-service basis. We put two thresholds $L_1$ and $L_2$($${\geq_-}L_1$$ ) on the buffer. If the queue length at the service initiation epoch is less than the threshold $L_1$, the service time of customers follows $S_1$ with a mean of ${\mu}_1$ and the arrival of customers follows a Poisson process with a rate of ${\lambda}_1$. When the queue length at the service initiation epoch is equal to or greater than $L_1$ and less than $L_2$, the service time is changed to $S_2$ with a mean of $${\mu}_2{\geq_-}{\mu}_1$$. The arrival rate is still ${\lambda}_1$. Finally, if the queue length at the service initiation epoch is greater than $L_2$, the arrival rate of customers are also changed to a value of $${\lambda}_2({\leq_-}{\lambda}_1)$$ and the mean of the service times is ${\mu}_2$. By using the embedded Markov chain method, we derive queue length distribution at departure epochs. We also obtain the queue length distribution at an arbitrary time by the supplementary variable method. Finally, performance measures such as loss probability and mean waiting time are presented.

Uncertainty Assessment of Single Event Rainfall-Runoff Model Using Bayesian Model (Bayesian 모형을 이용한 단일사상 강우-유출 모형의 불확실성 분석)

  • Kwon, Hyun-Han;Kim, Jang-Gyeong;Lee, Jong-Seok;Na, Bong-Kil
    • Journal of Korea Water Resources Association
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    • v.45 no.5
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    • pp.505-516
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    • 2012
  • The study applies a hydrologic simulation model, HEC-1 developed by Hydrologic Engineering Center to Daecheong dam watershed for modeling hourly inflows of Daecheong dam. Although the HEC-1 model provides an automatic optimization technique for some of the parameters, the built-in optimization model is not sufficient in estimating reliable parameters. In particular, the optimization model often fails to estimate the parameters when a large number of parameters exist. In this regard, a main objective of this study is to develop Bayesian Markov Chain Monte Carlo simulation based HEC-1 model (BHEC-1). The Clark IUH method for transformation of precipitation excess to runoff and the soil conservation service runoff curve method for abstractions were used in Bayesian Monte Carlo simulation. Simulations of runoff at the Daecheong station in the HEC-1 model under Bayesian optimization scheme allow the posterior probability distributions of the hydrograph thus providing uncertainties in rainfall-runoff process. The proposed model showed a powerful performance in terms of estimating model parameters and deriving full uncertainties so that the model can be applied to various hydrologic problems such as frequency curve derivation, dam risk analysis and climate change study.

Predicting Financial Success of a Movie Using Bayesian Choice Model (베이지안 선택 모형을 이용한 영화흥행 예측)

  • Lee Gyeong-Jae;Jang U-Jin
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.05a
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    • pp.1851-1856
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    • 2006
  • 영화는 대표적인 경험재로 가치판단이 주관적이고 제품 수명주기가 매우 짧아 예측의 불확실성이 높기 때문에 이를 정량적인 방법으로 모형화하기는 쉽지 않다. 이러한 한계점에도 불구하고 한 영화의 상업적 성공을 예측하는 것은 영화 제작자나 배급사, 극장 등 모든 주체에게 수익과 직결되는 중요한 문제이기 때문에 지금까지 다양한 통계 모형이 제시되었다. 그러나 이들 모형의 대부분은 영화흥행에는 영향을 미치나 측정할 수 없는 효과를 반영하지 못한다거나, 추정 모수의 효과가 모든 영화에 대해서 같다는 동일성 가정으로 인해 영화간 이질성을 고려하지 못하고 있다. 따라서, 본 연구에서는 추정 모수의 사전분포를 모호사전분포로 정의함으로써 변수들의 불확실성을 반영할 수 있고, 영화간 이질성을 고려할 수 있는 베이지안 선택 모형을 제안하였다. 모수의 사후분포는 마코프체인 몬테카를로 기법인 깁스 샘플러를 이용하여 추정하였다. 또한, 감독, 배우, 장르 등의 영화 별 속성 변수뿐만 아니라, 입소문에 의한 영화관람 결정 등의 구전효과와 경쟁영화의 개봉으로 인한 효과를 반영할 수 있는 변수를 추가하여 모형의 정확성을 높였다. 2005년과 2006년 상반기에 상영된 영화를 바탕으로 모형을 구축하고 인공신경망 모형과 비교한 결과, 전체적인 예측 정확도에서는 인공신경망 모형과 비슷한 결과를 보이나 상업적으로 성공한 영화를 예측하는 데에는 베이지안 선택모형이 보다 더 우수한 것으로 나타났다. 또한, 개봉 주의 경쟁심화 정도 및 개봉 첫 주의 스크린 수 등이 영화 흥행에 가장 중요한 변수로 나타났으며, 영화 개봉 전 그 영화에 대한 기대치가 높을수록 흥행 성적 또한 좋음을 알 수 있었다. 배우의 힘 및 계절성, 영화 평점 등은 이질성을 고려하지 않은 전체수준에서는 통계적으로 유의하지 않은 것으로 나타났으나, 그룹 간 이질성을 반영한 모형에서는 어느 정도 흥행한 영화를 만들기 위해서는 고려되어야 할 요소로 나타났다.렇지 않을 경우 적절한 벤치마킹 대상을 도출할 때까지 추가적인 분석과정을 반복한다. 제안한 방법을 통하여 조직은 기술적 생산 가능성 외에도 다양한 조직 운영 관점에서 적절한 벤치마킹 대상을 선정할 수 있으며, 이에 따른 목표를 수립할 수 있을 것으로 기대한다. 또한 더 나아가 global efficiency 관점에서 효율적 조직이 되기 위하여 단계적인 벤치마킹 대상 선정과 이에 따른 목표를 수립하는데도 유용하리라 판단된다.$1.20{\pm}0.37L$, 72시간에 $1.33{\pm}0.33L$로 유의한 차이를 보였으므로(F=6.153, P=0.004), 술 후 폐환기능 회복에 효과가 있다. 4) 실험군과 대조군의 수술 후 노력성 폐활량은 수술 후 72시간에서 실험군이 $1.90{\pm}0.61L$, 대조군이 $1.51{\pm}0.38L$로 유의한 차이를 보였다(t=2.620, P=0.013). 5) 실험군과 대조군의 수술 후 일초 노력성 호기량은 수술 후 24시간에서 $1.33{\pm}0.56L,\;1.00{\ge}0.28L$로 유의한 차이를 보였고(t=2.530, P=0.017), 술 후 72시간에서 $1.72{\pm}0.65L,\;1.33{\pm}0.3L$로 유의한 차이를 보였다(t=2.540, P=0.016). 6) 대상자의 술 후 폐환기능에 영향을 미치는 요인은 성별로 나타났다. 이에 따른 폐환기능의 차이를 보면, 실험군의 술 후 노력성 폐활량이 48시간에 남자($1.78{\pm}0.61L$)가 여자($1.27{\pm}0.45L$)보다 더 높게 나타났으며 (t=2.170, P=0.042), 72시간에도 역시 남자($2.16{\pm}0.56L$)가 여자($1.50{\pm}0.47L$)보다 더

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Bayesian ordinal probit semiparametric regression models: KNHANES 2016 data analysis of the relationship between smoking behavior and coffee intake (베이지안 순서형 프로빗 준모수 회귀 모형 : 국민건강영양조사 2016 자료를 통한 흡연양태와 커피섭취 간의 관계 분석)

  • Lee, Dasom;Lee, Eunji;Jo, Seogil;Choi, Taeryeon
    • The Korean Journal of Applied Statistics
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    • v.33 no.1
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    • pp.25-46
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    • 2020
  • This paper presents ordinal probit semiparametric regression models using Bayesian Spectral Analysis Regression (BSAR) method. Ordinal probit regression is a way of modeling ordinal responses - usually more than two categories - by connecting the probability of falling into each category explained by a combination of available covariates using a probit (an inverse function of normal cumulative distribution function) link. The Bayesian probit model facilitates posterior sampling by bringing a latent variable following normal distribution, therefore, the responses are categorized by the cut-off points according to values of latent variables. In this paper, we extend the latent variable approach to a semiparametric model for the Bayesian ordinal probit regression with nonparametric functions using a spectral representation of Gaussian processes based BSAR method. The latent variable is decomposed into a parametric component and a nonparametric component with or without a shape constraint for modeling ordinal responses and predicting outcomes more flexibly. We illustrate the proposed methods with simulation studies in comparison with existing methods and real data analysis applied to a Korean National Health and Nutrition Examination Survey (KNHANES) 2016 for investigating nonparametric relationship between smoking behavior and coffee intake.

At-site Low Flow Frequency Analysis Using Bayesian MCMC: II. Application and Comparative Studies (Bayesian MCMC를 이용한 저수량 점 빈도분석: II. 적용과 비교분석)

  • Kim, Sang-Ug;Lee, Kil-Seong
    • Journal of Korea Water Resources Association
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    • v.41 no.1
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    • pp.49-63
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    • 2008
  • The Bayesian MCMC(Bayesian Markov Chain Monte Carlo) and the MLE(Maximum Likelihood Estimation) methods using a quadratic approximation are applied to perform the at-site low flow frequency analysis at the 4 stage stations (Nakdong, Waegwan, Goryeonggyo, and Jindong). Using the results of two types of the estimation method, the frequency curves including uncertainty are plotted. Eight case studies using the synthetic flow data with a sample size of 100, generated from 2-parmeter Weibull distribution are performed to compare with the results of analysis using the MLE and the Bayesian MCMC. The Bayesian MCMC and the MLE are applied to 36 years of gauged data to validate the efficiency of the developed scheme. These examples illustrate the advantages of the Bayesian MCMC and the limitations of the MLE based on a quadratic approximation. From the point of view of uncertainty analysis, the Bayesian MCMC is more effective than the MLE using a quadratic approximation when the sample size is small. In particular, the Bayesian MCMC is a more attractive method than MLE based on a quadratic approximation because the sample size of low flow at the site of interest is mostly not enough to perform the low flow frequency analysis.

The Robust Phylogeny of Korean Wild Boar (Sus scrofa coreanus) Using Partial D-Loop Sequence of mtDNA

  • Cho, In-Cheol;Han, Sang-Hyun;Fang, Meiying;Lee, Sung-Soo;Ko, Moon-Suck;Lee, Hang;Lim, Hyun-Tae;Yoo, Chae-Kyoung;Lee, Jun-Heon;Jeon, Jin-Tae
    • Molecules and Cells
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    • v.28 no.5
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    • pp.423-430
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    • 2009
  • In order to elucidate the precise phylogenetic relationships of Korean wild boar (Sus scrofa coreanus), a partial mtDNA D-loop region (1,274 bp, NC_000845 nucleotide positions 16576-1236) was sequenced among 56 Korean wild boars. In total, 25 haplotypes were identified and classified into four distinct subgroups (K1 to K4) based on Bayesian phylogenetic analysis using Markov chain Monte Carlo methods. An extended analysis, adding 139 wild boars sampled worldwide, confirmed that Korean wild boars clearly belong to the Asian wild boar cluster. Unexpectedly, the Myanmarese/Thai wild boar population was detected on the same branch as Korean wild boar subgroups K3 and K4. A parsimonious median-joining network analysis including all Asian wild boar haplotypes again revealed four maternal lineages of Korean wild boars, which corresponded to the four Korean wild boar subgroups identified previously. In an additional analysis, we supplemented the Asian wild boar network with 34 Korean and Chinese domestic pig haplotypes. We found only one haplotype, C31, that was shared by Chinese wild, Chinese domestic and Korean domestic pigs. In contrast to our expectation that Korean wild boars contributed to the gene pool of Korean native pigs, these data clearly suggest that Korean native pigs would be introduced from China after domestication from Chinese wild boars.

Comparison of Disaster Vulnerability Analysis and Risk Evaluation of Heat Wave Disasters (폭염재해의 재해취약성분석 및 리스크 평가 비교)

  • Yu-Jeong SEOL;Ho-Yong KIM
    • Journal of the Korean Association of Geographic Information Studies
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    • v.26 no.1
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    • pp.132-144
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    • 2023
  • Recently, the frequency and intensity of heat waves due to the increase in climate change temperature are increasing. Therefore, this study tried to compare the evaluation process and evaluation results of the heat wave disaster evaluation, which is the government's analysis of the heat wave disaster vulnerability and the risk evaluation method recently emphasized by the IPCC. The analysis of climate change disaster vulnerability is evaluated based on manuals and guidelines prepared by the government. Risk evaluation can be evaluated as the product of the possibility of a disaster and its impact, and it is evaluated using the Markov chain Monte Carlo simulation based on Bayesian estimation method, which uses prior information to infer posterior probability. As a result of the analysis, the two evaluation results for Busan Metropolitan City differed slightly in the spatial distribution of areas vulnerable to heat waves. In order to properly evaluate disaster vulnerable areas due to climate change, the process and results of climate change disaster vulnerability analysis and risk assessment must be reviewed, and consider each methodology and countermeasures must be prepared.

Informative Role of Marketing Activity in Financial Market: Evidence from Analysts' Forecast Dispersion

  • Oh, Yun Kyung
    • Asia Marketing Journal
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    • v.15 no.3
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    • pp.53-77
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    • 2013
  • As advertising and promotions are categorized as operating expenses, managers tend to reduce marketing budget to improve their short term profitability. Gauging the value and accountability of marketing spending is therefore considered as a major research priority in marketing. To respond this call, recent studies have documented that financial market reacts positively to a firm's marketing activity or marketing related outcomes such as brand equity and customer satisfaction. However, prior studies focus on the relation of marketing variable and financial market variables. This study suggests a channel about how marketing activity increases firm valuation. Specifically, we propose that a firm's marketing activity increases the level of the firm's product market information and thereby the dispersion in financial analysts' earnings forecasts decreases. With less uncertainty about the firm's future prospect, the firm's managers and shareholders have less information asymmetry, which reduces the firm's cost of capital and thereby increases the valuation of the firm. To our knowledge, this is the first paper to examine how informational benefits can mediate the effect of marketing activity on firm value. To test whether marketing activity contributes to increase in firm value by mitigating information asymmetry, this study employs a longitudinal data which contains 12,824 firm-year observations with 2,337 distinct firms from 1981 to 2006. Firm value is measured by Tobin's Q and one-year-ahead buy-and-hold abnormal return (BHAR). Following prior literature, dispersion in analysts' earnings forecasts is used as a proxy for the information gap between management and shareholders. For model specification, to identify mediating effect, the three-step regression approach is adopted. All models are estimated using Markov chain Monte Carlo (MCMC) methods to test the statistical significance of the mediating effect. The analysis shows that marketing intensity has a significant negative relationship with dispersion in analysts' earnings forecasts. After including the mediator variable about analyst dispersion, the effect of marketing intensity on firm value drops from 1.199 (p < .01) to 1.130 (p < .01) in Tobin's Q model and the same effect drops from .192 (p < .01) to .188 (p < .01) in BHAR model. The results suggest that analysts' forecast dispersion partially accounts for the positive effect of marketing on firm valuation. Additionally, the same analysis was conducted with an alternative dependent variable (forecast accuracy) and a marketing metric (advertising intensity). The analysis supports the robustness of the main results. In sum, the results provide empirical evidence that marketing activity can increase shareholder value by mitigating problem of information asymmetry in the capital market. The findings have important implications for managers. First, managers should be cognizant of the role of marketing activity in providing information to the financial market as well as to the consumer market. Thus, managers should take into account investors' reaction when they design marketing communication messages for reducing the cost of capital. Second, this study shows a channel on how marketing creates shareholder value and highlights the accountability of marketing. In addition to the direct impact of marketing on firm value, an indirect channel by reducing information asymmetry should be considered. Potentially, marketing managers can justify their spending from the perspective of increasing long-term shareholder value.

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Genetic Variability Comparison of Wild Populations and Cultured Stocks of Flounder Paralichthys olivaceus Based on Microsatellite DNA Markers (넙치, Paralichthys olivaceus 자연 집단과 양식 집단의 유전학적 다양성 비교)

  • Jeong, Dal Sang;Noh, Jae Koo;Myeong, Jeong In;Lee, Jeong Ho;Kim, Hyun Choul;Park, Chul Ji;Min, Byung Hwa;Ha, Dong Soo;Jeon, Chang Young
    • Korean Journal of Ichthyology
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    • v.21 no.4
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    • pp.221-226
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    • 2009
  • Six microsatellite DNA markers were used to investigate the genetic variability between wild populations and cultured stocks of olive flounder Paralichthys olivaceus. The average of observed (Ho) and expected heterozygosity (He) ranged from 0.722 to 0.959, and from 0.735 to 0.937, respectively. There was no distinguishable difference between the wild populations and cultured stocks in terms of the observed and expected heterozygosities. However, number of alleles per locus differed markedly between the two fish groups: 19.7 to 21.8 for the wild populations and 12.0 to 14.7 for the cultured stocks. This result gives important information concerning the production of seedling for the improvement of genetic diversity in this species.

Bayesian Analysis of Korean Alcohol Consumption Data Using a Zero-Inflated Ordered Probit Model (영 과잉 순서적 프로빗 모형을 이용한 한국인의 음주자료에 대한 베이지안 분석)

  • Oh, Man-Suk;Oh, Hyun-Tak;Park, Se-Mi
    • The Korean Journal of Applied Statistics
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    • v.25 no.2
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    • pp.363-376
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    • 2012
  • Excessive zeroes are often observed in ordinal categorical response variables. An ordinary ordered Probit model is not appropriate for zero-inflated data especially when there are many different sources of generating 0 observations. In this paper, we apply a two-stage zero-inflated ordered Probit (ZIOP) model which incorporate the zero-flated nature of data, propose a Bayesian analysis of a ZIOP model, and apply the method to alcohol consumption data collected by the National Bureau of Statistics, Korea. In the first stage of a ZIOP model, a Probit model is introduced to divide the non-drinkers into genuine non-drinkers who do not participate in drinking due to personal beliefs or permanent health problems and potential drinkers who did not drink at the time of the survey but have the potential to become drinkers. In the second stage, an ordered probit model is applied to drinkers that consists of zero-consumption potential drinkers and positive consumption drinkers. The analysis results show that about 30% of non-drinkers are genuine non-drinkers and hence the Korean alcohol consumption data has the feature of zero-inflated data. A study on the marginal effect of each explanatory variable shows that certain explanatory variables have effects on the genuine non-drinkers and potential drinkers in opposite directions, which may not be detected by an ordered Probit model.