生产速率可调整时现货型生产系统的最优生产决策研究  

Optimal production decision study for a make-to-stock system with an adjustable production rate

作　　者：陈柳鑫[1] 杨建超 于彤[1] CHEN Liuxin;YANG Jianchao;YU Tong(Business School,Hohai University,Nanjing 211100,China)

机构地区：[1]河海大学商学院,江苏南京211100

出　　处：《管理工程学报》2023年第6期257-266,共10页Journal of Industrial Engineering and Engineering Management

基　　金：国家社会科学基金资助项目(19BGL181、19ZDA084);江苏省社会科学基金项目(21GLA001);云南红云红河集团科技项目(HYHH2020XX02)。

摘　　要：本文针对现货型生产系统,研究其生产速率可调整情况下的最优库存决策问题。生产系统有高速率、低速率生产或者暂停生产这三种生产状况。本文以长期折扣利润最大化为目标,研究其最优生产决策。假设需求过程为泊松过程,生产时间间隔服从指数分布。本文首先将该问题抽象为连续时间下的马氏决策过程,并构建无穷周期下的折扣生产利润最大化为目标的HJB方程。其次,进一步对模型结构性质进行分析,最终获得使利润最大化的动态库存控制决策,即:当库存量大于高存储点时,系统停止生产;当库存量小于低存储点时,系统以高速率生产;当库存量介于两个存储点之间时,则以低速率生产。最后,在最优策略分析的基础上进行模型算例分析。China is a major manufacturing country,which is increasing share of manufacturing value-added in the world,and achieving world-renowned achievements.However,in contrast to developed countries such as Europe and the United States,China′s manufacturing industry is still mainly labor-intensive,and the input cost of resource factors such as manpower accounts for a large proportion of production costs.Producers increase production capacity,mostly by increasing factor inputs such as manpower and equipment resources.Under market economy,Manufacturers respond to fluctuations in order demand,implementing flexible production strategies.Producers based on current inventory levels,dynamic adjustment of its production rate,and efficient matching of order volume with demand side.This results in a new production model with a flexible production rate and deciding the optimal production policy to maximize the long-run discounted profits.Because China′s manufacturing industry is still mainly labor-intensive,and Short-term failure to enhance production capacity through technological innovation and process optimization.On the one hand,periodically,or at the beginning of some selling season,producers increase production capacity,mostly by increasing factor inputs such as manpower and equipment resources;on the other hand,in the low season of order demand,producers decrease production capacity,mostly by decreasing factor inputs such as manpower and equipment resources.It follows that the application of high production rates by producers will lead to higher production costs due to the increase in resource factors.The application of low production rate by producers will lead lower production costs due to the decrease in resource factor.In a real-life case,manufacturers often adjust production rates with different production costs to consider both demand and inventory.We study the production decision of a make-to-stock manufacturing system with an adjustable production rate.With Poisson arrivals and exponential production times,we ai

关 键 词：生产速率可调整 现货型生产系统 生产速率决策 HJB方程 阈值策略 

分 类 号：C93[经济管理—管理学]