• Journal of the Korean Operations Research and Management Science Society
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• v.32 no.4
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• pp.19-35
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• 2007

This study is for detecting the Braess Paradox by stable dynamics in general transportation networks. Stable dynamics, suggested by Nesterov and de Palma[18], is a new model which describes and provides a stable state of congestion in urban transportation networks. In comparison with user equilibrium model based on link latency function in analyzing transportation networks, stable dynamics requires few parameters and is coincident with intuitions and observations on the congestion. Therefore it is expected to be an useful analysis tool for transportation planners. The phenomenon that increasing capacity of a network, for example creating new links, may decrease its performance is called Braess Paradox. It has been studied intensively under user equilibrium model with link latency function since Braess[5] demonstrated a paradoxical example. However it is an open problem to detect the Braess Paradox under stable dynamics. In this study, we suggest a method to detect the Paradox in general networks under stable dynamics. In our model, we decide whether Braess Paradox will occur in a given network. We also find Braess links or Braess crosses if a network permits the paradox. We also show an example how to apply it in a network.

• Journal of Korean Society of Transportation
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• v.17 no.3
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• pp.61-70
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• 1999

The Purpose of this study is to test whether Braess Paradox (BP) can be revealed in a real world network. Fer the study, Namsan 2nd tunnel case is chosen, which was shut down for 3 years for repair works. The revelation of BP is determined by analyzing network-wise traffic impacts followed by the tunnel closure. The analysis is conducted using a network simulation model called SECOMM developed for the congestion management of the Seoul metropolitan area. Also, the existence of BP is further identified by a before-after traffic survey result of the major arterials nearby the Namsan 2nd tunnel. The model estimation expected that the closure of Namsan 2nd tunnel improve the network-wise average traffic speed from 21.95km/h to 22.21km/h when the travel demand in the study area and congestion Pricing scheme on Namsan 1st & 3rd tunnels remain unchanged. In addition, the real world monitoring results of the corridors surrounding Namsan 2nd tunnel show that the average speed increases from 29.53km/h to 30.37km/h after the closure. These findings clearly identify the BP Phenomenon is revealed in this case.

• Journal of Korean Society of Transportation
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• v.22 no.2 s.73
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• pp.65-76
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• 2004

교통망설계문제란, 교통시스템을 최적상태로 만들기 위한 최적의 설계변수를 결정하는 문제이다. 대표적인 교통망설계문제로는 도로를 신설하거나 확장하는 문제가 있으며, 이외에 교통신호시간의 결정, 교통정보의 제공, 혼잡통행료 부과, 새로운 교통수단의 도입 등 여러 교통정책분야가 교통망설계문제에 포함된다고 볼 수 있다. 일반적으로 교통망설계문제는 bi-level 구조로 구축되는데, 기존 대부분의 연구들은 상위문제와 하위문제를 서로 협력없이(Noncooperative) 자신들만의 목적을 최적화시키는 Cournot-Nash게임형태로 구성하여 풀고 있으나, 실제 교통분야에서 다루는 문제들은 리더(leader)와 추종자(follower)가 존재하는 Stackelberg게임에 가깝다고 할 수 있다. 기존 bi-level 문제들이 Cournot-Nash게임형태로 구성되어 풀고 있는 이유는 Stackelberg게임으로 구성할 경우 풀기가 어렵기 때문이다. 이런 측면에서 본 연구는 리더와 추종자가 존재하는 Stackelberg게임으로 교통망설계문제를 구성하며, 설계 변수값에 따른 통행자의 행태변화도 인지오차(perceived error)를 고려한 확률적 통행배정문제로 구성하여 좀더 현실적인 결과를 도출하도록 한다. 제시된 모형을 풀기 위하여 민감도분석(Sensitivity analysis)을 이용하며, 설계문제의 해를 구하는 알고리듬도 제시한다. 또한, 이 기법을 일반 도로교통망(general transportation road network)에 적용할 수 있도록 민감도(sensitivity) 유도과정을 자세히 기술하였다. 개발된 모형을 평가하기 위하여 2개의 예제 교통망을 대상으로 모형을 적용한 결과, 합리적인 값들을 도출하고 있음을 확인할 수 있었다.

• Journal of Korean Society of Transportation
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• v.17 no.4
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• pp.85-97
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• 1999

The Purpose of this Paper is the development of the day-to-day dynamic combined model on the evaluation of traveller's traffic information for multi-mode and multi-class environments. Information is assumed to be provided for multi-mode such as bus and automobile. and multi-class such as a driver with and without route guidance equipment when they depart for their trips. The information provision strategies have been developed in the base of user equilibrium, system optimum and in between them. The Sioux Falls network is used for the evaluation of the model and information provision strategies. In the numerical analysis, a Braess' paradox for the information provision, which is the increase of travel time even though the number of information usage level and user are increased, has been occurred so that these kinds of information strategies should be implemented with special care.