说明：  1、整数规划的定义： 决策变量要求取整数的线性规划。 2、整数规划的分类： 纯整数规划：全部决策变量均要求取整数。 混合整数规划：只要部分决策变量要求取整数。 0,1规划：一类变量只取0,1特殊的整数规划问题。 3、整数规划的性质： （1）可行解域为点集。 （2）整数最优解的目标值劣于同问题非整数最优解的目标值。
(1, the definition of the integer programming: decision variables requires integer linear programming. 2, integer programming classification: pure integer programming: all decision variables are required to take an integer. Mixed Integer Programming: as long as the rounded part of the decision variables requires. 0,1 planning: a class variable takes only 0,1 integer programming problem. 3, the nature of the integer programming: (1) a feasible solution domain of a set of points. (2) The integer optimal solution worse than the target value on the same non-integer optimal solution of the target value.)