线性需求合并短缺的有限时间水平的生产──库存模型

本文研究了线性需求合并短缺的有限时间水平的生产-库存问题, 在相继的周期长度以等差方式递减的条件下, 给出了一种寻求是优周期数, 最优调查时刻以及各周期的最优生产率的交替逼近方法。同时无短缺时的相应结果也被得到。并给出了应用实例。

The Production-Inventory Model for a Finite Time Horizon with Linear Trend in Demand and Shortages

This paper deals with the production-inventory problem for a finite time-horizon with linear trend in demand and shortages, and presents an alternative approach for finding the optimal number of cycles;the opti-mal adjustment times and the optimal production rate for each cycle. The method is developed by assuming that succesive cycle lengths are in arith-metic progression. The corresponding results in the absence of shortage are also derived and finally some applided examples are given.