• Title/Summary/Keyword: Explicitly Correlated Induction

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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)

  • Yang Jae-Hwan;Kim Hyun-Soo
    • Journal of the Korean Operations Research and Management Science Society
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    • v.31 no.1
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    • pp.55-71
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    • 2006
  • 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.