制造系统中能力约束下的生产批量计划优化方法

以动态库存成本与加班惩罚费用之和为优化目标,考虑单台机器的生产能力,研究生产批量计划问题。建立了数学模型,提出基于遗传算法、参数线性规划方法和启发式方法的分级混合算法。该算法采用遗传算法的流程,用遗传算子寻解批量矩阵(第1级),根据批量矩阵用参数线性规划法求解每台机器上的排产方案(第2级),用启发式方法对上述两级解进行调整使之满足约束条件。在冲压车间的排产中进行了实际应用,获得了理想的排产方案。实例验证说明,该算法有良好的收敛性,并且是有效的。

Optimal method of capacitated lot sizing planning in manufacturing systems

This paper analyzes the capacitated lot sizing problem considering an individual machine's processing ability using a two-layer hierarchical method to minimize the sum of the dynamic inventory cost and the overtime cost. The genetic algorithm, the parameter linear programming method and a heuristic method were used in the developed method. The method uses the genetic operator to define the lot sizing matrix (the first layer) using linear programming to determine each machine's schedule (the second layer) according to the lot-sizing matrix, and the heuristic method to verify the feasibility of the solutions by adjusting them to meet the constraint requirements. The scheduling of machines in a press shop demonstrates the effectiveness of the algorithm. The result shows that the algorithm is convergent.