摘要
研究需求损失下两产品联合生产(采购)动态批量决策问题.在各周期成本变动情形下分析多周期动态批量决策的预测时阈和决策时阈,构建包含联合启动成本、两产品的单独启动成本、库存持有成本、变动生产成本和需求损失成本在内的成本最小化模型.在最优解结构特性的基础上,设计出前向动态规划算法求解问题,通过建立两产品生产点的单调性和建立生产集,给出求解预测时阈和决策时阈的充分条件.通过数值算例分析预测时阈求解的具体过程,表明所构建模型的有效性.
This paper investigates a two-product dynamic lot-size problem under joint production and lost sales, and analyzes forecast and decision horizons for time-varying costs. We formulate a cost minimization model including the joint setup costs, individual setup costs, variable costs, holding costs and lost sale costs over a finite horizon of T periods. Based on some properties of the optimal solution, we develop an efficient forward dynamic programming algorithm to solve the problem. Based on the monotonicity of the production point and production set for both products, a sufficient condition for obtaining forecast horizon and decision horizon is given through a numerical example, the details of computing the forecast horizon is analyzed, which shows the effectiveness of the proposed model.
引文
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