摘要
传统的经济批量模型通常都假定物品的库存费用是固定不变的.放松了这个假定,通过考虑库存费用的两种可能变化情形即(A)库存费的变化率为存储时间的函数;(B)库存费的变化率为库存量的函数,并在需求线性依赖于库存水平的形式下,发展了两个变库存费的变质性物品的经济批量模型.在模型中允许短缺发生且假定短缺完全拖后,理论上证明了模型具有唯一的整体最优解,揭示了库存费的变化对库存系统最优订货策略的影响.
In the tradltioual economic lot-size models, there exists a common assumption that the holding cost is fixed find inflexible during every order cycle, In this paper, we relax this assumption and two possibilities of variation are considered： （a） a non-llnear function of the length of time the item and （b） a non-linear function of the amount of on-hand inventory. We develop two economic lot-size models for deteriorating items with stock-dependent demand in which shortages are allowed to occur and backlogged completely, The proofs are provided for the existence and uniqueness of optimal replenishment schedule and the effect of the variation for holding cost on the optimal order policies of inventory system are also shown in this paper.
出处
《数学的实践与认识》
CSCD
北大核心
2008年第11期1-6,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(70771034)
高校博士学科点专项科研基金(20060359007)
安徽省自然科学基金(KJ2008A030)
安徽省高校青年教师科研资助计划项目(2007jq1091)
合肥工业大学研究生科技创新基金(py200614)
关键词
变质
库存费
需求依赖于库存
缺货
perishable items
holding cost
stock-dependent demand
shortage
