摘要
建立了生产率、需求率、变质率及损失率均随时间变化的生产库存模型,在假定了(I)变质率线性依赖于时间及库存开始点;(II)损失率线性依赖于时间及短缺量拖后供货的结束点的前提下,给出了寻求最优策略的方法,指出了文[10]中不合理的假设,并以实际的例子与已有结果作比较,其结果为生产管理部门的决策提供了理论依据.
This paper makes a further generalization of article [10]. We establish the production-inventory model of time varying production, demand, deterioration and loss rates under the assumption that （i） deterioration rate depends linearly on the time and start point of inventory; （ii） lost rate depends linearly on the time and end point of backlogging. A proposed solution is presented for finding optimal policies. We also point out the irrational assumption of article [10] compare the results derived from our paper with the article [10] through numerical examples. The results of this paper provide theoretical evidence to make decision for the department of production and management.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第2期5-12,共8页
Mathematics in Practice and Theory
基金
国家自然基金资助项目(70471045)
合肥工业大学科学研究发展基金资助项目(051003F)
关键词
生产
需求
变质率
损失率
production
demand
deterioration rate
lost rate
