Journal of Korean Society of Transportation (대한교통학회지)

Korean Society of Transportation (대한교통학회)
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A Genetic Algorithm Approach to the Continuous Network Design Problem with Variational Inequality Constraints

유전자 알고리즘을 이용한 변동부등식 제약하의 연속형 가로망 설계

  • 김재영 (서울대학교 환경계획연구소 연구원) ;
  • 임강원 (서울대학교 환경대학원)
  • Published : 2000.02.01
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Abstract

The equilibrium network design problem can be formulated as a mathematical Program with variational inequality constraints. We know this problem may have may multiple local solutions due to its inherent characteristics - Nonlinear Objective function and Nonlinear, Nonconvex constraints. Hence, it is difficult to solve for a globally optimal solution. In this paper, we propose a genetic algorithm to obtain a globa1 optimum among many local optima. A Proposed a1gorithm is compared with 4 different solution algorithms for 1 small test network and 1 real-size network. The results of some computational testing are reported.

이 논문은 변동부등식을 제약조건으로 하는 연속형 변수의 가로망 설계 문제를 풀기 위한 해석 알고리즘을 제시하는 것을 목적으로 한다. 가로망 설계 문제는 문제의 특성상 비선형의 목적함수와 비선형. 비볼록한 제약식으로 인해 다수의 국지해를 갖으며, 이러한 여러 국지해 중 가장 최적의 해를 구하는 것에 관심이 모아지고 있다. 전역 최적해를 찾을 수 있는 기존의 방법들은 확률적 최적화 방법에 속하는데 이 논문에서는 유전자 알고리즘의 접근법을 사용하여 2개의 다른 예제 가로망에서 5개의 서로 다른 해석 알고리즘에 대한 비교를 행하였으며. 그 해석결과를 기술하였다. 이 논문에서 사용된 정책결정자의 설계 변수는 가로망상 링크의 용량 변수이며, 연속형 변수의 어떤 설계 변수에도 적절한 변환과정을 거쳐 사용이 가능하다.

Keywords

References

  1. 대한교통학회지 v.16 no.1 A simulated annealing method for solving combined traffic assignment and signal control problem 이승재
  2. Transportation Research v.13B Continuous equilibrium network design models Abdulaal, M.;LeBlanc, L.
  3. Proceedings of the 6th International Symposium on Transportation and Traffic Theory Some possibilities for using traffic control to influence trip destribution and route choice Allsop, R.E.
  4. Transportation Research v.33B A model of urban transport management Ferrari, P.
  5. Transportation Research v.18B Game theory and transportation modeling Fisk, C.S.
  6. Proceedings of the 9th International Symposium on Transportation and Traffic Theory Optimal signal controls on congested networks Fisk, C.S.
  7. Transportation Science v.26 A simulated annealing approach to the network design problem with variational inequality constraints Friesz, T.L.;Cho, H.-J.;Mehta, N.J.;Tobin, R.L.;Anandalingam, G.
  8. Lecture Notes in Economics and Mathematical Systems v.118 Area traffic control and network equilibrium Gartner, N.H.
  9. Proceedings of the 9th International Symposium on Transportation and Traffic Theory Bounding the solution of the continuous equilibrium network design problem Harker, P.T.;Friesz, T.L.
  10. Genetic algorithm+data structures=evolution programs Michalewicz
  11. Evolution and optimum seeking Schwefel, Hans-Paul
  12. Transportation Research v.13B The existence, uniqueness and stability of traffic equilibria Smith, M.J.
  13. Transportation Science v.21 Equilibrium decomposed optimization;A heuristic for the continuous network design problem Suwansirikul, C.;Friesz, T.L.;Tobin, R.L.
  14. Transportation Science v.22 Sensitivity analysis for equilibrium network flow Tobin, R.L.;Friesz, T.L.
  15. Transportation Research v.30A Optimal road tolls under conditions of eqeuing and congestion Yang, H.;Lam, W.H.K.
  16. Transportation Research v.28B Traffic assignment and traffic control in general freeway-arterial corridor systems Yang, H.;Sam Yagar
  17. Transportation Research v.29A Traffic assignment and signal control in saturated networks
  18. Transportation Research v.28B An algorithm for the inflow control problem on urban freeway networks with user-optimized flows Yang, H.;Sam Yagar;Yasunori Iida;Yasuo Asakura