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On the relationship between cost and service models for general inventory systems

机译：普通库存系统的成本与服务模型之间的关系

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摘要

In this paper, we present a systematic overview of possible relations between cost and service models for fairly general single- and multi-stage inventory systems. In particular, we relate various types of penalty costs in pure cost models to equivalent types of service measures in service models. We show how an optimal policy for a service model may be obtained from cost-optimal policies in a related pure cost model. Pure cost models have been studied extensively in the literature. By our results it seems possible to transform many of the known optimal solutions for pure cost models to service models, which are more appropriate from a practical point of view. A number of examples are discussed to show the generality and the possibly far reaching consequences of the results.
机译：在本文中，我们对相当普遍的单阶段和多阶段库存系统的成本和服务模型之间可能的关系进行了系统的概述。特别是，我们将纯成本模型中的各种惩罚成本与服务模型中同等类型的服务度量相关联。我们展示了如何从相关的纯成本模型中的成本最优策略中获得服务模型的最优策略。在文献中已经对纯成本模型进行了广泛的研究。根据我们的结果，似乎有可能将许多已知的用于纯成本模型的最佳解决方案转换为服务模型，从实际的角度来看，这更合适。讨论了许多示例，以显示结果的一般性和可能产生的深远影响。

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