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Periodic Review Inventory Management with Contingent Use of Two Freight Modes with Fixed Costs

机译:定期使用固定成本的两种货运模式进行定期检查库存管理

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We study a stochastic inventory model of a firm that periodically orders a product from a make-to-order manufacturer. Orders can be shipped by a combination of two freight modes that differ in lead-times and costs, although orders are not allowed to cross. Placing an order as well as each use of each freight mode has a fixed and a quantity proportional cost. The decision of how to allocate units between the two freight modes utilizes information about demand during the completion of manufacturing. We derive the optimal freight mode allocation policy, and show that the optimal policy for placing orders is not an (s, S) policy in general. We provide tight bounds for the optimal policy that can be calculated by solving single period problems. Our analysis enables insights into the structure of the optimal policy specifying the conditions under which it simplifies to an (s, S) policy. We characterize the best (s, S) policy for our model, and through extensive numerical investigation show that its performance is comparable with the optimal policy in most cases. Our numerical study also sheds light on the benefits of the dual freight model over the single freight models.
机译:我们研究了一个定期从按订单生产的制造商订购产品的公司的随机库存模型。订单可以通过两种交货时间和成本不同的货运方式组合来运输,尽管不允许跨订单。下订单以及每种货运方式的每次使用都具有固定的成本和成比例的成本。如何在两种货运模式之间分配单位的决定利用了制造完成过程中有关需求的信息。我们推导了最佳货运模式分配策略,并证明了下订单的最佳策略通常不是(s,S)策略。我们为可以通过解决单周期问题而计算出的最优策略提供了严格的界限。通过我们的分析,可以洞悉最佳策略的结构,从而指定简化为(s,S)策略的条件。我们为模型描述了最佳(s,S)策略,并通过广泛的数值研究表明,在大多数情况下,其性能与最佳策略相当。我们的数值研究还揭示了双重货运模型比单一货运模型的优势。

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