An Analysis of the Relationship between Problem Characteristics and Algorithm Performance : A Case Study on 0-1 Knapsack Problems

문제 특성과 알고리듬 수행 능력 간 관계에 관한 분석 : 0-1 Knapsack 문제에 관한 사례 연구

  • 양재환 (서울시립대학교 경영학부) ;
  • 김현수 (경기대학교 첨단산업공학부)
  • Published : 2006.03.01

Abstract

We perform a computational study on 0-1 knapsack problems generated under explicit correlation induction. A total of 2000 100-variable test problems are solved. We use two solution methods: (1) a well known heuristic and (2) a representative branch and bound type algorithm. Two different performance measures are considered: (1) the number of nodes needed to find an optimal solution and (2) the relative error of the heuristic solution. We also examine the effect of different joint probability mass functions (pmfs) for the coefficient values on the performance of the solution procedure.

Keywords

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