基于产量柔性的经济生产批量模型研究

A STUDY ON THE ECONOMIC PRODUCTION LOT SIZE MODEL UNDER VOLUME FLEXIBILITY

传统经济生产批量（ＥＰＬ）模型没有考虑制造系统的产量柔性，机器的生产率和单位生产成本都被假定为不变的。然而机器的生产率是容易改变的，且单位生产成本依赖于生产率。本文对传统的ＥＰＬ模型进行了扩展，生产率变为决策变量，单位生产成本变成生产率的函数。通过对模型的Ｋ－Ｔ条件的分析，我们提出了求解模型的简单算法。

The classical economic production lot size (EPL) models do not take volume flexibility of manufacturing system into account.Machine production rate and unit production cost are assumed to be constant.However,machine production rate can be easily changed.Moreover,unit production cost depends on production rate.In this paper,we extend a classical EPL model to cases where production rate is a decision variable.We also provide a simple and easy method to solve the model after analysing the K T conditions of the model.Finally,we analyse the economic production lot size under volume flexibility with numerical examples.