• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제21권4호
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• pp.215-224
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• 2017

The moment closure method is an approximation method to compute the moments for stochastic models of chemical reaction systems. In this paper, we develop an analytic estimation of errors generated from the approximation of an infinite system of differential equations into a finite system truncated by the moment closure method. As an example, we apply the result to an essential bimolecular reaction system, the dimerization model.

• Ocean Systems Engineering
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• 제6권2호
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• pp.191-201
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• 2016

Stern bearing is a key component of marine propulsion plant. Its environment is diverse, working condition changeable, and condition severe, so that stern bearing load is of strong time variability, which directly affects the safety and reliability of the system and the normal navigation of ships. In this paper, three affecting factors of the stern bearing load such as hull deformation, propeller hydrodynamic vertical force and bearing wear are calculated and characterized by random theory. The uncertainty mathematical model of stern bearing load is established to research the relationships between factors and uncertainty load of stern bearing. The validity of calculation mathematical model and results is verified by examples and experiment yet. Therefore, the research on the uncertainty load of stern bearing has important theoretical significance and engineering practical value.

• 산업경영시스템학회지
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• 제44권4호
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• pp.154-168
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• 2021

COVID-19 has been spreading all around the world, and threatening global health. In this situation, identifying and isolating infected individuals rapidly has been one of the most important measures to contain the epidemic. However, the standard diagnosis procedure with RT-PCR (Reverse Transcriptase Polymerase Chain Reaction) is costly and time-consuming. For this reason, pooled testing for COVID-19 has been proposed from the early stage of the COVID-19 pandemic to reduce the cost and time of identifying the COVID-19 infection. For pooled testing, how many samples are tested in group is the most significant factor to the performance of the test system. When the arrivals of test requirements and the test time are stochastic, batch-service queueing models have been utilized for the analysis of pooled-testing systems. However, most of them do not consider the false-negative test results of pooled testing in their performance analysis. For the COVID-19 RT-PCR test, there is a small but certain possibility of false-negative test results, and the group-test size affects not only the time and cost of pooled testing, but also the false-negative rate of pooled testing, which is a significant concern to public health authorities. In this study, we analyze the performance of COVID-19 pooled-testing systems with false-negative test results. To do this, we first formulate the COVID-19 pooled-testing systems with false negatives as a batch-service queuing model, and then obtain the performance measures such as the expected number of test requirements in the system, the expected number of RP-PCR tests for a test sample, the false-negative group-test rate, and the total cost per unit time, using the queueing analysis. We also present a numerical example to demonstrate the applicability of our analysis, and draw a couple of implications for COVID-19 pooled testing.

• 대한교통학회지
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• 제29권1호
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• pp.71-79
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• 2011

전통적으로 동적 교통망 모형들은 실시간 교통운영 문제를 위한 도구로 인식되어 왔다. 이와 같은 모형들을 활용하는 방안 중 하나는 예측통행시간을 생성하는 것이다. 예측통행시간 정보는 통행자들이 혼잡한 지역에서 덜 혼잡한 지역으로 경로를 전환할 수 있도록 해 주는데 이는 교통망의 용량을 효과적으로 활용하게 한다. 이러한 접근 방법은 돌발상황이 발생했을 때 매우 효과적일 것으로 예상된다. 이 때 고려해야 할 사항은 통행시간정보가 미래 통행여건 자체에 영향을 준다는 점이다. 이로 인해 예기치 못한 과잉반응(over-reaction)을 야기할 수 있으며 예측정보의 신뢰도를 떨어뜨리는 요인으로 작용할 수도 있다. 본 연구에서는 돌발상황 발생 시를 대상으로 교통망 차원의 통행시간 예측모형을 제시한다. 이 모형에서는 모든 운전자가 개인 차내 단말기를 통해 상세한 교통정보를 이용할 수 있으며 이러한 정보를 바탕으로 경로선택에 관한 의사결정을 할 수 있다고 가정하였다. 경로기반(route-based)의 확률론적 변등부등식(stochastic variational inequality)을 통행시간예측의 기본모형으로 사용하였으며 운전자의 경로전환의사를 반영하기 위해 경로전환함수를 적용하였다. 컴퓨터 프로그램과 간단한 교통망 분석을 통해 제안된 모형의 특성을 살펴보았다.