能力约束下单产品多厂区联合决策模型及算法

针对具有能力约束的制造厂和多用户组成的生产-分销系统,研究了生产和运输能力约束下生产与运输联合决策,决策变量为产品的生产周期、供应商和用户之间的运输频率以及产品的经济分配量,优化目标为最小化供应链的单位时间平均总费用.在建立问题的非线性规划模型后,对模型进行了改进,提出了适合该问题模型的分配启发式算法.采用该算法和拟牛顿法(quasi-Newton method,QNM)分别对不同规模的问题进行了实例计算,结果验证了该模型的正确性和算法的有效性.

Joint Decisions Model and Algorithm for Single Product in Multi-plants with Capacity

To deal with the production-distribution network for a manufacture with multiple plants with capacity constraints and multiple retailers, a joint decisions problem with production and transportation capacity constraints is studied. The decision variables include the production cycle length, delivery frequency in a cycle from the warehouse to the retailers and the economic production allocation. The optimization objective is to minimize of the average total cost per unit time. Since this problem is a noncocave-and-nonconvex nonlinear programming, its model is improved. A heuristics is developed to solve this joint decisions model. With a numerical example given to compute the problem of different sizes via either the proposed algorithm or the quasi-Newton method(QNM). The results showed the correctness of the model and the effectiveness of the proposed algorithm.