Turnpike policies for periodic review inventory model with emergency orders
Turnpike policies for periodic review inventory model with emergency orders
复制标题
通过紧急订单定期审查库存模型的收费公路政策
DOI：
10.1016/j.ijpe.2004.06.033
复制
发表时间：
2005
影响因子：
12
通讯作者：
S. Bylka
中科院分区：
文献类型：
--
作者：
S. Bylka
本文提出了一种定期审查容量大小模型，具有有限的积压和紧急订单的可能性。紧急下订单的主要目的是在出现短缺时尽快满足需求。假设需求在连续的时期内是独立分布的。有两种补给模式可用：常规模式和紧急模式。因此，假设没有紧急订单的交货时间，采购价格可能会很高。有效性的衡量标准是总的（或每个时期的平均）预期成本，其中包括持有成本、短缺成本和两种类型的订单成本。通过将该系统视为离散时间马尔可夫决策过程来获得最小成本。我们使用这个模型来描述一个简单有效的价值函数算法来寻找最优策略。我们发现关于特殊结构的最优策略的命题概括了 (s,S) 策略的经典结果。提出了收费公路策略和最优无限策略的一些联系。通过数值例子给出了计算结果。
This paper presents a periodic review capacitated lot sizing model with limited backlogging and a possibility of emergency orders. The main intention of placing emergency orders is to satisfy the demand as soon as a shortage occurs. It is assumed that the demands are independently distributed in successive periods. There are two resupply modes available: a regular mode and an emergency mode. Hence, no lead-time of emergence orders is assumed, the purchase price could be high. The measure of effectiveness is the total (or average per period) expected cost, which includes holding cost, shortage cost and both types of order costs. The minimum cost is obtained by considering this system as a discrete-time Markov decision process. We use this model to describe a simple and efficient value function algorithm for finding optimal policies. We find propositions on specially structured optimal policies generalizing classical results on (s,S) policies. Some connections of the turnpike policies and optimal infinite policies are presented. Computational results are given through numerical examples.