On the Separation of the Rank-1 Chvatal-Gomory Inequalities for the Fixed-Charge 0-1 Knapsack Problem

고정비용 0-1 배낭문제에 대한 크바탈-고모리 부등식의 분리문제에 관한 연구

  • 박경철 (명지대학교 경영학과) ;
  • 이경식 (한국외국어대학교 산업경영공학과)
  • Received : 2011.03.23
  • Accepted : 2011.05.09
  • Published : 2011.06.30


We consider the separation problem of the rank-1 Chvatal-Gomory (C-G) inequalities for the 0-1 knapsack problem with the knapsack capacity defined by an additional binary variable, which we call the fixed-charge 0-1 knapsack problem. We analyze the structural properties of the optimal solutions to the separation problem and show that the separation problem can be solved in pseudo-polynomial time. By using the result, we also show that the existence of a pseudo-polynomial time algorithm for the separation problem of the rank-1 C-G inequalities of the ordinary 0-1 knapsack problem.



Supported by : Hankuk University of Foreign Studies Research Fund


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