Journal of KIISE:Software and Applications (한국정보과학회논문지:소프트웨어및응용)

Korean Institute of Information Scientists and Engineers (한국정보과학회)
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Solving Nonlinear Fixed Charge Transportation Problem by Spanning Tree-based Genetic Algorithm

신장트리 기반 유전자 알고리즘에 의한 비선형 fcTP 해법

  • 조정복 (동서대학교 컴퓨터정보공학부) ;
  • 고석범 (부경대학교 전자계산학과) ;
  • Published : 2005.08.01
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Abstract

The transportation problem (TP) is known as one of the important problems in Industrial Engineering and Operational Research (IE/OR) and computer science. When the problem is associated with additional fixed cost for establishing the facilities or fulfilling the demand of customers, then it is called fixed charge transportation problem (fcTP). This problem is one of NP-hard problems which is difficult to solve it by traditional methods. This paper aims to show the application of spanning-tree based Genetic Algorithm (GA)approach for solving nonlinear fixed charge transportation problem. Our new idea lies on the GA representation that includes the feasibility criteria and repairing procedure for the chromosome. Several numerical experimental results are presented to show the effectiveness of the proposed method.

수송문제는 산업공학 및 OR 그리고 전자계산학 분야에서 중요한 문제 중의 하나로 인식된다. 수송 문제가 시설을 수립하거나 고객들의 요구를 이행하기 위한 추가적인 고정 비용과 연관될 때, fcTP(fixed charge Transportation Problem)라 한다. fcTP는 이전의 고전적인 방법으로 해결하기 어려운 NP-hard 문제들 중의 하나이다. 본 논문에서는 비선형 fcTP를 해결하기 위한 신장트리 기반 유전자알고리즘을 제안한다. 특히, 염색체(chromosome)에 대한 feasibility criteria와 repairing procedure를 포함하는 GA 염색체 표현에 대해 새로운 아이디어를 제안한다. 또한, 본 논문에서 제안하는 방법의 효율성을 입증하기 위한 여러 가지 수치 실험 결과를 기술한다.

Keywords

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