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

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

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