ＣＬＳＰ（Ｍｕｌｔｉ－ｉｔｅｍｓｉｎｇｌｅ－ｌｅｖｅｌｃａｐａｃｉｔａｔｅｄｄｙｎａｍｉｃｌｏｔ－ｓｉｚｉｎｇｐｒｏｂｌｅｍ）是在受能力约束限制下，确定Ｎ种不同的项目在给定的计划范围Ｔ内的每一个时间段批量，使得在整个计划范围内（Ｐｌａｎ－ｎｉｎｇＨｏｒｉｚｏｎ）项目总的调整费用和库存保管费用以及生产费用之和最小。本文采用遗传算法和线性规划结合来求解带多资源的ＣＬＳＰ问题。最后给出了一个实例 CLSP (Multi-itemsingle-levelcapacitateddynamiclot-sizingproblem) is to limit the capacity constraints, N kinds of different projects in a given planning range T each batch of time period, so that in the whole plan area (Plan-ningHorizon) The total project adjustment costs and inventory storage costs and the sum of production costs and the minimum. In this paper, genetic algorithm and linear programming are combined to solve CLSP with multiple resources. Finally, an example is given