多阶段生产系统最优生产批量和原材料订购决策模型

Sarker和Parija(1996)建立了生产系统最优生产批量和原材料订购决策模型。然而他们的模型仅局限于单阶段生产系统,本文将他们的模型扩展到多阶段生产系统,我们首先建立了使整个多阶段生产系统总成本最小的各阶段最优生产批量、原材料订购批量及阶段之间的运输批量模型,然后分析了原材料订购费、半成品运费及设备安装费的敏感性。最后,我们结合实例综合分析了原材料订购费、半成品运输费和设备安装费的变化及最小值点取整后对原材料订购决策、最优生产批量和总成本的影响。

Optimal Batch Size and Raw Material Ordering Policy for a Multi-Stage Production System

Bhaba and Gyana (1996) had developed a model of optimal hatch sine and raw material ordering policy for a prodnction system. However, their model is limited to a single-stage production system. In this paper, we extend their model to case where the production system is a mult.i-stage production system. We first build a model in which an optimal hatch size in all stages, raw material ordering lot size and semi-finished products transportation lot. size between two stages are developed to mininize the total cost. Then we analyze the sensitivity of the ordering cost of the raw materials, transportation cost. of semi-finished products for each hatch and manufacturing setup cost for each hatch. Finally, we analyze the problem that raw material ordering policy, optimal hatch size and total cost are influenced by the changing of the ordering cost, of the raw materials, transportation cost of semifinished products for each hatch and manufacturing setup cost for each batch and the integer approximation.