• Journal of Korean Society of Transportation
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• v.28 no.6
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• pp.159-166
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• 2010

Trip distribution is to connect travel demand for each OD pair based on travel cost, trip production and attraction derived from trip generation step. In real world the travel cost is a function of travel demand, but existing models could not fully consider such functional relation between travel cost and demand, which leads to an equilibrium in trip distribution model. This paper proves the equilibrium trip distribution by using gravity model. In order to obtain such equilibrium this paper also presents a solution algorithm based on fixed point theorem. The algorithm will be tested with an example and confirmed the equilibrium solution of trip distribution.

• Journal of Korean Society for Geospatial Information Science
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• v.12 no.3 s.30
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• pp.43-50
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• 2004

This study has an object of searching for appropriateness in applying the trip distribution model by studying the changes of the character of parameter which the model contains and by analyzing and evaluating trip distribution technique out of few steps of pre-estimate technique for the traffic demand through computer simulation centering around Kwangju. Method of this study is investigating the basic theory for trip distribution model and with this grounding, I rearranged it as research data for trip distribution model compatible for Kwangju, using data such as research data on actual state, the statistics annual report and basic plan for traffic full equipment of Kwangju. So, The most stable measure of the type of trip distribution of Kwangju city was produced in Fratar and Detroit model, however, gravity model has a little bit low reliance in sharing of estimation and actual survey although it is astringent in short period.

• Journal of Korean Society of Transportation
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• v.23 no.2
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• pp.143-150
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• 2005

Estimation of trip distribution, estimated O-D matrix must satisfy the condition that the sum of trips in a row should equal the trip production, and the sum of trips in a column should equal the trip attraction. In most cases the iterative calculation for convergence is needed to satisfy this condition. Most of all present convergence of iterative methods may results a big difference between estimated value and converged value, and from this, the trip distribution patterns may be changed. This paper presents a new convergence of iterative method that comes closer to meeting the convergence condition and gives the maximum likelihood estimation for calculating a distribution patterns from the trip distribution estimation model. The newly developed method differs from existing methods in three important ways. First, it simultaneously considers both the convergence condition and the distribution patterns. Second, it computers simultaneous convergence of rows and columns instead of iterating respectively. Third, instead of using the growth rates to the trip production, trip attraction, it uses the differences between trip production and sum of trips in a row, and trip attraction and sum of trips in a column. Using 38 by 38 O-D matrix, this paper compared the Fratar method and the Furness method to the newly developed method and found that this method was superior to the other two methods.

• Journal of Korean Society of Transportation
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• v.15 no.1
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• pp.45-62
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• 1997

이 논문은 O-D 접근방법과 P-A 접근방법을 이론적으로 서로 비교한 연구이다. O-D 접근방법은 전통적인 교통수요 4단계 분석기법의 모든 과정에서 통행수 산출을 통행 유출과 통행유인의 개념을 적용하여 O-D 통행량을 사용한 기법으로 정의되었다. 이러한 O-D 접근방법은 우리 나라에서 보편적으로 사용되고 있는 기법이다. P-A 접근방법은 통행 발생, 통행분포, 교통수단선책 분석과정까지 통행생성과 통행유인의 개념을 적용하여 P-A 통행량을 사용한 기법으로 정의되었으며, 노선배경 분석단계에 앞서 P-A 통행량을 O-D 통 행량으로 전환되어져야 한다. P-A 접근방법은 구미국가들에서 보편적으로 사용되는 기법이 다. 이러한 두 접근방법은 통행목적 분류에서 귀가통행이 별도로 분류되어있는가 혹은 아닌 가에 따라 쉽게 구분되어 질 수 있다. 만일 귀가통행이 통행목적의 분류에서 별도로 구분되 어 있으면 O-D 접근방법이 적용되고 있음을 의미하는 것이다. 이 연구는 전통적 교통수요 4단계 분석과정 중 통행발생, 통행분포 및 교통수단선택의 각 분석과정에서 두 접근방법간 의 이론적 차이점을 명확히 비교 분석하고자 하였다. 그러므로써 형태적 통행패턴을 상대적 으로 잘 설명하며 또한 집합적 오차를 상대적으로 초 lth화할 수 있는 기법이 어느 것인가 를 이론적으로 찾고자 하였다. 이 연구에서는 행태적 측면에서 통행패턴을 P-A 접근방법이 더 잘 표현하고 있으며 또한 집합화 오차도 P-A 접근방법이 더 적으므로 P-A 접근방법이 O-D 접근방법보다 이론적으로 더 우수하다고 결론지었다. 또한 이 연구는 통행발생, 통행 분포, 교통수단선택 분석과정이 끝난 후 P-A 통행량에서 O-D 통행량으로 전환하는 것이 통행발생, 통행분포의 분석과정이 끝난 후에 O-D 통행량으로 전환하는 것보다 더 바람직하 다고 추천하였다.

• Proceedings of the Korean Operations and Management Science Society Conference
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• 2006.11a
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• pp.599-617
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• 2006

A network model and a Genetic Algorithm(GA) is proposed to solve the simultaneous estimation of the trip distribution and traffic assignment from traffic counts in the congested networks in a logit-based Stochastic User Equilibrium (SUE). The model is formulated as a problem of minimizing the non-linear objective functions with the linear constraints. In the model, the flow-conservation constraints of the network are utilized to restrict the solution space and to force the link flows meet the traffic counts. The objective of the model is to minimize the discrepancies between the link flows satisfying the constraints of flow-conservation, trip production from origin, trip attraction to destination and traffic counts at observed links and the link flows estimated through the traffic assignment using the path flow estimator in the legit-based SUE. In the proposed GA, a chromosome is defined as a vector representing a set of Origin-Destination Matrix (ODM), link flows and travel-cost coefficient. Each chromosome is evaluated from the corresponding discrepancy, and the population of the chromosome is evolved by the concurrent simplex crossover and random mutation. To maintain the feasibility of solutions, a bounded vector shipment is applied during the crossover and mutation.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.26 no.5D
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• pp.763-769
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• 2006

Gravity Model estimates target year's distributed trips using three variables like as origin zone's trip production, destination zone's trip attraction and traffic impedance between origin zone centroid and destination zone centroid. Estimating inner zone trip by gravity model is impossible because traffic impedance of inner zone has "0" value. So till today, for estimating inner zone trips, other methods like growth factor model are used. This study proposed inner zone trip estimation method that calculates inner zone's traffic impedance using established gravity model and estimates inner zone trips by putting calculated traffic impedance into the gravity model. 1988 year's surveyed O-D as basic year's O-D, proposed method's and existing methods(growth factor method and regression model)'s estimated results of 1992 year's and 2004 year's were compared with each year's real O-D by $x^2$, RMSE, Correlation coefficient. And resulted that the proposed method is superior than other existing methods.

• Journal of the Korean Regional Science Association
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• v.31 no.1
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• pp.21-42
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• 2015

This paper investigates whether urban expansion and the vitalization of the local economy can be achieved through new city development. The results show that regardless of the starting point (origin) or destination point, traffic increases closer to the origin for the purpose of transportation and decreases farther from the origin. However, traffic tends to increase in districts 20 to 40 km away from the origin. Hence, building a new city in this district may be effective in terms of geography and functionality.

• Journal of the Korea Society for Simulation
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• v.29 no.3
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• pp.41-48
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• 2020

In this paper, a dynamic prediction algorithm using the cumulative distribution function for traffic volume is presented as a new method for predicting highway traffic rate more accurately, where an approximation function of the cumulative distribution function is obtained through numerical methods such as natural cubic spline interpolation and Levenberg-Marquardt method. This algorithm is a new structure of random number generation algorithm using the cumulative distribution function used in financial mathematics to be suitable for predicting traffic flow. It can be confirmed that if the highway traffic rate is simulated with this algorithm, the result is very similar to the actual traffic volume. Therefore, this algorithm is a new one that can be used in a variety of areas that require traffic forecasting as well as highways.

• Journal of Korean Society of Transportation
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• v.27 no.6
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• pp.19-28
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• 2009

In case of land development projects constructed, to solve induced transportation volume needs analysis of traffic demand. Trip-generation of land development projects is exactly predicted by using traffic instigating-basic-unit in each facility of land developments. But in case of a phase of trip-distribution, because a range of destinations is very enormous and it needs enormous data to reflect all of its characters, whenever trip-distribution is predicted, the method which assumes the rate of trip-distribution is same both before completion of land development projects and after is often used. But because there is no exact criterion, the method suggested above is also affected by subjective opinion. Accordingly, this study look over using trip-distribution of specific areas's DB and suggests a size of zone to predict a distribution of land development projects exactly. Also production - constrained gravity model which uses the gap between a distribution of suggested ranges and induced land development project is suggested for more exact prediction of trip-distribution. Besides accuracy of prediction is scrutinized by using Mean Squared Error.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.26 no.3D
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• pp.417-424
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• 2006

To get more accurate trip distribution estimation results, this study developed an improved gravity model. Using three different year's O-D table resulted from person trip survey, this study analyzed correlative between basic year's residuals and target year's residuals by gravity model. And resulted that the two have linear correlation. From this, improved gravity model was developed as adding basic year's residual to present gravity model. Developed gravity model was compared to present gravity model by estimation accuracy, and revealed that distributed trips from improved gravity model was more closer to real O-D than distributed trips from present gravity model.