• Ocean Systems Engineering
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• 제12권3호
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• pp.267-284
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• 2022

A subsea pipeline designed across active shipping lane prones to failure against external interferences such as anchorage activities, hence risk assessment is essential. It requires quantifying the geometric probability derived from ship traffic distribution based on Automatic Identification System (AIS) data. The actual probability density function from historical vessel traffic data is ideal, as for rapid assessment, conceptual study, when the AIS data is scarce or when the local vessels traffic are not utilised with AIS. Recommended practices suggest the probability distribution is assumed as a single peak Gaussian. This study compares several fitted Gaussian distributions and Monte Carlo simulation based on actual ship traffic data in main ship direction in an active shipping lane across a subsea pipeline. The results shows that a Gaussian distribution with five peaks is required to represent the ship traffic data, providing an error of 0.23%, while a single peak Gaussian distribution and the Monte Carlo simulation with one hundred million realisation provide an error of 1.32% and 0.79% respectively. Thus, it can be concluded that the multi-peak Gaussian distribution can represent the actual ship traffic distribution in the main direction, but it is less representative for ship traffic distribution in other direction. The geometric probability is utilised in a quantitative risk assessment (QRA) for subsea pipeline against vessel anchor dropping and dragging and vessel sinking.

• 대한교통학회지
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• 제23권5호
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• pp.113-120
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• 2005

도로 선형 설계의 제1의 목표는 통행의 안전과 원활한 운행 여건을 구조적으로 확보하는 데에 있다. 현재 우리나라 도로 설계법은 외국의 설계기준과 방법론을 바탕으로 한 것이나, 도로를 이용하는 사람이나 차량의 특성이 설계체계에 반영되어 있지 않아, 설계자의 기대와 이용자의 이용 행태간의 간격이 존재하며, 그 결과는 안전하고 편리한 도로를 제공하는 데에 장애가 된다. 도로 기하구조 설계의 적정성을 높이고 안전성을 높이기 위해서는 차량 주행 특성에 기반한 도로 선형 설계기준과 그 적용 체계를 갖출 필요가 있다. 본 연구에서는 실제 도로 이용자의 특성이 반영된 도로 설계 체계를 갖추는 작업의 일환으로 일반국도 4차로도로의 단일 곡선부 구간에 대한 주행 차량의 속도 분포 특성을 바탕으로 일반국도의 선형의 설계기준을 적용하는 방안을 제시하였다.

• Communications for Statistical Applications and Methods
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• 제6권2호
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• pp.595-600
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• 1999

We present a simple geometric approach which uses polar transformation and elementary trigonometry to evaluating an orthant probability in a bivariate normal distribution. Figures are provided to illustrate the situation for varying correlation coefficient. We derive the distribution of the sample correlation coefficient from a bivariate normal distribution when the sample size is 2 as an application.

• Journal of applied mathematics & informatics
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• 제24권1_2호
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• pp.505-511
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• 2007

In this paper, we examine the Markov chain $\{X_k,\;N_k;\;k=0,\;1,...$. We show that the marginal steady state distribution of Xk is discrete phase type. The implication of this result is that the queue length distribution of phase type for large number of examples where this Markov chain is applicable and shows a queueing application by matrix geometric methods.

• Journal of the Korean Data and Information Science Society
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• 제21권6호
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• pp.1109-1115
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• 2010

본 연구는 질병자료나 사망자수 등과 관련된 자료의 분석에서 가장 많이 사용되는 초기하분포의 모수, 즉 성공의 확률에 대한 신뢰구간추정에 대하여 설펴보았다. 초기하분포의 성공의 확률에 대한 신뢰구간은 일반적으로 잘 알려져 있지 않으나 그 응용성과 활용성의 측면에서 신뢰구간의 추정은 상당히 중요하다. 본 논문에서는 초기하분포의 성공의 확률에 대한 정확신뢰구간을 소개하고 여러 가지 모집단의 크기와 표본수에 대하여, 그리고 몇가지 실현값에 대한 신뢰구간을 유도하고 소표본의 경우에 모의실험을 통하여 실제 포함확률의 측면에서 살펴보았다.

• Communications for Statistical Applications and Methods
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• 제10권1호
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• pp.1-9
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• 2003

In this article, we consider a Bayesian estimation method for the geometric mean of $textsc{k}$ exponential parameters, Using the Tibshirani's orthogonal parameterization, we suggest an invariant prior distribution of the $textsc{k}$ parameters. It is seen that the prior, probability matching prior, is better than the uniform prior in the sense of correct frequentist coverage probability of the posterior quantile. Then a weighted Monte Carlo method is developed to approximate the posterior distribution of the mean. The method is easily implemented and provides posterior mean and HPD(Highest Posterior Density) interval for the geometric mean. A simulation study is given to illustrates the efficiency of the method.

• 설비공학논문집
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• 제18권1호
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• pp.31-37
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• 2006

The present study has been experimentally investigated the effect of geometric and operating parameters on the two-phase flow distribution of refrigerants in a horizontal T-junction. The operating parameters were the kind of refrigerants (R-22, R- l34a, and R-410A), saturated temperature, and the inlet mass flux and quality. The geometric parameters were the tube diameter and the tube diameter ratio. The measured data of refrigerants were compared with the values predicted using the models developed by several researchers for air/water or steani/water two-phase flow. Among the operating parameters, the inlet Quality was the most sensitive to the mass flow rate ratio. Between the geometric parameters, the tube diameter ratio was more sensitive than tube diameter.

• 대한수학회논문집
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• 제14권2호
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• pp.405-423
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• 1999

We consider a statistical multiplexer model with finite buffer capacity and finite number of independent identical 3-state bursty voice sources. The burstiness of the sources is modeled by describing both two different active periods (at the rate of one packet perslot) and the passive periods during which no packets are generated. Assuming a mixture of two geometric distributions for active period and a geometric distribution for passive period and geometric distribution for passive period, we derive the recursive algorithm for the probability mass function of the buffer contents (in packets). We also obtain loss probability and the distribution of packet delay. Numerical results show that the system performance deteriorates considerably as the variance of the active period increases. Also, we see that the loss probability of 2-state Markov models is less than that of 3-state Markov models.

• Structural Engineering and Mechanics
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• 제87권1호
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• pp.85-94
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• 2023

In the present work, thermal buckling and post-buckling behaviors of imperfect graphene platelet reinforced metal foams (GPRMFs) doubly curved shells are examined. Material properties of GPRMFs doubly curved shells are presumed to be the function of the thickness. Reddy' shell theory incorporating geometric nonlinearity is utilized to derive the governing equations. Various types of the graphene platelets (GPLs) distribution patterns and doubly curved shell types are taken into account. The nonlinear equations are discretized for the case of simply supported boundary conditions. The thermal post-buckling response are presented to analyze the effects of GPLs distribution patterns, initial geometric imperfection, GPLs weight fraction, porosity coefficient, porosity distribution forms, doubly curved shell types. The results show that these factors have significant effects on the thermal post-buckling problems.

• 한국도로학회논문집
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• 제6권3호
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• pp.55-64
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• 2004

최대건조단위중량은 노상토 재료 특성으로서 매우 중요한 인자이다. 최대건조단위중량을 예측하는 기존의 모델들은 많은 변수를 포함하고 있어 다소 복잡해 보인다 본 논문에서는 사질토의 최대건조단위중량을 예측할 수 있는 간편한 식을 제안하였다. 이를 위해 36개 시료를 체분석하여 입도분포를 구하고, 다짐시험 한 후 그 결과를 회귀 분석하였다. 제안식은 변수로 노상토의 기하평균과 기하표준편차 또는 입도분포계수를 포함한다. 제안식의 검증을 위해 전국16개 지역의 채취 시료에 대한 최대건조단위중량의 실측치와 예측치를 비교한 결과 잘 맞는 것으로 밝혀졌다.