线性需求合并短缺的变质性物品的生产——库存模型

A Production Inventory Model for Deteriorating Items with a Linear Trend in Demand and Shortages

本文发展了线性需求合并短缺的变质性物品的生产——库存模型，以系统平均总费用最小为目标，提供了有限计划期内的生产调整策略以便适应市场需求的变化．同时还提供了无短缺情形的相应模型。

This paper considers a production inventory model for deteriorating items with linear trend in demand and shortages. The production adjustment policy over a fixed planning period is given. The number of adjustment cycles, the times of adjustments and the production rate for each adjustment cycle over a finite time horizon are all determined in an optimal manner in order to keep the average total cost of system to a minimum. The corresponding results in the absence of shortage are also obtained, and finally some numerical examples are presented.