标题： 具有相同零售商从信息共享中受益的两级库存系统的成本函数 显示英文标题

标题： The Cost Function of a Two-Level Inventory System with identical retailers benefitting from Information Sharing

摘要： 本文研究了一个具有中心仓库和N（N > 2）个零售商的两层库存系统，该系统由集中式信息共享机制管理。 特别地，本文数学建模了一个易于实施的库存控制系统，该系统有助于利用信息。 本文的一些假设包括：a）零售商和中心仓库的配送时间是恒定的，b）零售商的需求是泊松分布且速率相同。 库存策略包括零售商的连续盘点（R,Q）策略，以及在中心仓库触发系统时使用m批（给定数量Q）批次。 此外，当零售商的库存位置达到R + s时，中心仓库会监控零售商的库存，并可能比零售商的再订货点更早下订单。 先前的研究提出了该策略及其成本函数的近似方法。 本文推导了上述问题的成本函数的精确数学模型。 显示英文摘要

摘要： This paper investigates a two-echelon inventory system with a central warehouse and N (N > 2) retailers managed by a centralized information-sharing mechanism. In particular, the paper mathematically models an easy-to-implement inventory control system that facilitates making use of information. Some assumptions of the paper include: a) constant delivery time for retailers and the central warehouse and b) Poisson demand with identical rates for retailers. The inventory policy comprises continuous review (R,Q)-policy on the part of retailers and triggering the system with m batches (of a given size Q) at the central warehouse. Besides, the central warehouse monitors retailers' inventory and may order batches sooner than retailers' reorder point, when their inventory position reaches R + s. An earlier study proposed the policy and its cost function approximation. This paper derives an exact mathematical model of the cost function for the aforementioned problem.