OPTIMAL ORDERING AND RATIONING POLICIES IN A NONSTATIONARY DYNAMIC INVENTORY MODEL WITH n DEMAND CLASSES
OPTIMAL ORDERING AND RATIONING POLICIES IN A NONSTATIONARY DYNAMIC INVENTORY MODEL WITH n DEMAND CLASSES
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DOI：
10.1287/mnsc.15.3.160
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发表时间：
1968-11
影响因子：
5.4
通讯作者：
D. M. Topkis
中科院分区：
文献类型：
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作者：
D. M. Topkis
我们考虑与库存系统相关的问题，其中库存需求具有 n 个不同重要性的类别。当某一特定类别的需求到来时，人们必须决定是满足还是不满足它，并保存库存以供以后可能使用，以满足更重要类别的需求。给出了条件，在这些条件下，连续采购新库存之间的最佳配给政策由一组临界配给水平确定，这样在给定时间，只有当更重要的类别的需求没有未得到满足时，并且只要库存水平不低于当时该类别的临界配给水平，就可以满足给定类别的需求。还给出了在给定时间的最优采购政策由单个临界水平以通常方式确定的条件。给出了进一步的条件，以确保可以短视地确定最佳配给和采购政策。
We consider the problems associated with an inventory system in which demands for stock are of n classes of varying importance. When demand from a given class arrives one must decide whether to satisfy it or to not satisfy it and conserve stock for possible use later to satisfy demand from a more important class. Conditions are given under which the optimal rationing policy between successive procurements of new stock is determined by a set of critical rationing levels such that at a given time one satisfies demand of a given class only if no demand of a more important class remains unsatisfied and as long as the stock level does not fall below the critical rationing level for that class at that time. Conditions are also given under which the optimal procurement policy at a given time is determined by a single critical level in the usual manner. Further conditions are given which assure that the optimal rationing and procurement policies may be determined myopically.