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트리(Tree) 구조를 갖는 망설계 문제의 정식화에 관한 조사 연구
차동완,윤문길 한국경영과학회 1990 韓國經營科學會誌 Vol.15 No.1
This survey is on modeling of various network design problems with tree configuration, which have a wide variety of practical applications, particularly in communication and transportation network planning. Models which can be classified as either minimum spanning tree or Steiner tree, are investigated. Various important variants of each basic model are then classified according to model structures. In addition to the classification, the typical solution method for each problem is briefly sketched, along with some remarks in further research issues.
교차분해법을 이용한 이단계유통체계에서의 중간창고의 입지선정
차동완,정기호,허원수 한국경영과학회 1984 韓國經營科學會誌 Vol.9 No.2
This paper considers the intermediate warehouse location problem in a two stage distribution system where commodities are delivered from the given set of capacitated factories to customers via uncapacitated intermediate warehouses. In order to determine the subset of warehouses to open which minimizes the total distribution costs including the fixed costs associated with opening warehouses, the cross decomposition method for mixed integer programming recently developed by T.J. Van Roy is used. The cross decomposition unifies Benders decomposition and Lagrangean relaxation into a single framework that involves successive solutions to a primal subproblem and a dual subproblem. In our problem model, primal subproblem turns out to be a transshipment problem and dual subproblem turns out to be an intermediate warehouse location problem with uncapacitated factories.