Improvement to the Sequential Combination Tree Algorithm
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摘要: 为了提高有序组合树法的运算效率,必须充分利用约束条件中的有关信息.通过深入分析,提出了极差、必选变量、不可选变量等概念,将多个约束条件联系成为一个整体.提出了用检验约束条件的相容性,并以相容性为判据进行截枝的新办法.证明了如果必选变量全部取值为1是可行解,则必是最优解。给出了改进后的有序组合树法的计算步骤流程.Abstract: To increase the efficiency of sequential combination tree method,it is necessary to make full use of information in the constraint conditions.Based on a thorough analysis of the method,the concepts such as ultimate difference,necessary variables,and ineligible variables were proposed to combine constraints as a whole.A new algorithm was presented,in which the compatibility of constraints are determined and taken as a criterion to cut branches.It was proved that if all the necessary variables taking 1 is a feasible solution,it is the optimum solution.The flow chart of the new algorithm was presented.
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Key words:
- 0-1 programming /
- constraint /
- searching algorithm /
- sequential combination tree
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