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A new heuristic algorithm for general integer linear programming problems 被引量:1

A new heuristic algorithm for general integer linear programming problems
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摘要 A new heuristic algorithm is proposed for solving general integer linear programming problems. In the algorithm, the objective function hyperplane is used as a cutting plane, and then by introducing a special set of assistant sets, an efficient heuristic search for the solution to the integer linear program is carried out in the sets on the objective function hyperplane. A simple numerical example shows that the algorithm is efficient for some problems, and therefore, of practical interest. A new heuristic algorithm is proposed for solving general integer linear programming problems. In the algorithm, the objective function hyperplane is used as a cutting plane, and then by introducing a special set of assistant sets, an efficient heuristic search for the solution to the integer linear program is carried out in the sets on the objective function hyperplane. A simple numerical example shows that the algorithm is efficient for some problems, and therefore, of practical interest.
作者 高培旺
出处 《Journal of Chongqing University》 CAS 2006年第3期170-174,共5页 重庆大学学报(英文版)
关键词 integer linear programming objective function hyperplane cutting plane heuristic algorithm 整数规划 线性规划 目标函数超平面 切削平面 启发式算法
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参考文献1

  • 1Fred Glover.Cut search methods in integer programming[J].Mathematical Programming.1972(1)

同被引文献3

  • 1Fischetti M,Glover F, Lodi A.The feasibility purnp[J].Mathematical Programming, 2005,104:91-104.
  • 2《数学百科全书》编译委员会.数学百科全书[M].2卷.北京:科学出版社,1994:769.
  • 3刘建芹,贺毅朝,顾茜茜.基于离散微粒群算法求解背包问题研究[J].计算机工程与设计,2007,28(13):3189-3191. 被引量:29

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