• Journal of the Korean Data and Information Science Society
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• v.28 no.4
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• pp.783-796
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• 2017

In the theory of probability, a Bernoulli trial is a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted. In the successive games of scissors paper stone there exists the case of draw in each game. In this paper we are interested in the ultimate success probability of each participant and the expected number of the game till any one of the two has the ultimate victory. Using our results, we can calculate the ultimate winning probability of each player of the two players and the expected number of the game till any one of the two has the ultimate victory in any case whether there is draw or not in each game.

• Magazine of the Korean Society of Agricultural Engineers
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• v.41 no.1
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• pp.106-114
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• 1999

This paper explores the geometrical non-linear behavior of the simply supported tapered beams subject to the trapezoidal distributed load and end moments. In order to apply the Bernoulli -Euler beam theory to this tapered beam, the bending moment equation on any point of the elastical is obtained by the redistribution of trapezoidal distributed load. On the basis of the bending moment equation and the BErnoulli-Euler beam theory, the differential equations governging the elastical of such beams are derived and solved numerically by using the Runge-Jutta method and the trial and error method. The three kinds of tapered beams (i.e. width, depth and square tapers) are analyzed in this study. The numerical results of non-linear behavior obtained in this study from the simply supported tapered beams are appeared to be quite well according to the results from the reference . As the numerical results, the elastica, the stress resultants and the load-displacement curves are given in the figures.

• Proceedings of the Korean Operations and Management Science Society Conference
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• 1992.04b
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• pp.105-116
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• 1992

이 논문에서는 discrete-event모의실험을 사용해서 대기행렬모형에서 대기시간이 길어지는 확률을 추정하는 문제를 연구했습니다. 단 한번의 모의실험에서 확률의 신뢰구간을 구할 수 있는 방법인, binary bootstrap을 개발했습니다. Bernoulli trial과 first-order Markov processes에 적용하여 본 결과 이론치에 별 차이없이 추정하였습니다. 또한 M/M/1 대기행렬모형에서 대기시간이 길 확률을 추정했을 때 batch means방법보다 binary bootstrap이 월등히 우수한 결과를 보였습니다.

• Journal of the Korean Data and Information Science Society
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• v.27 no.3
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• pp.663-676
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• 2016

In Korean professional baseball the championship team of the year is determined by the four series of games: semi-semi-playoff, semi-playoff, playoff and korean series. To the top 5 teams in a regular season privileges are given to play the games at post season. At semi-semi playoff the winner of two teams which are ranked at 4th and 5th place in the regular season can advance to the game of semi playoff. The winner at semi playoff advances to the playoff to play with the second place team in the regular season. Finally, the championship team is to be determined in the Korean series between the winner of the playoff and the first ranked team in the regular season. We propose methods of how to calculate the winning probabilities of each of high ranked 5 teams advancing to Korean series. From our proposed methods we can estimate the championship probabilities of each of high ranked 5 teams advancing to the Korean series only if we know the winning probabilities between two teams in the regular season or the post season.

• Journal of applied mathematics & informatics
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• v.39 no.1_2
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• pp.173-196
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• 2021

This paper treats a retrial queue with phase type retrial times and a threshold type-policy, where each server is subject to breakdowns and repairs. Upon a server failure, the customer whose service gets interrupted will be handed over to another available server, if any; otherwise, the customer may opt to join the retrial orbit or depart from the system according to a Bernoulli trial. We analyze such a multi-server retrial queue using the recently introduced threshold-based retrial times for orbiting customers. Applying the matrix-analytic method, we carry out the steady-state analysis and report a few illustrative numerical examples.