A Fluid Flow Model for Empty Container Repositioning Policy with a Single Port and Stochastic Demand
A Fluid Flow Model for Empty Container Repositioning Policy with a Single Port and Stochastic Demand
复制标题
具有单端口和随机需求的空集装箱重新定位策略的流体模型
DOI：
10.1137/09075785x
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发表时间：
2010
影响因子：
2.2
通讯作者：
Song D
中科院分区：
文献类型：
--
作者：
Song D
本文涉及空集装箱重新定位的最优策略。考虑单个端口。该需求被建模为两个状态的马尔可夫链。目标是运输进出集装箱，以尽量减少持有、租赁和重新定位成本的折扣。在本文中，容器的流动被视为连续流体。动态规划用于解决最优控制问题。相关的 HJB 方程用于表征价值函数。最优策略是根据阈值水平给出的。获得这些阈值水平的闭合形式解。充分条件以验证定理的形式给出。报告数值例子来证明结果。
This paper is concerned with an optimal policy for empty container repositions. A single port is considered. The demand is modeled as a two-state Markov chain. The objective is to transport in and out containers so as to minimize the discounted holding, leasing, and repositioning costs. In this paper, the flow of containers is treated as though it is a continuous fluid. Dynamic programming is used to solve the optimal control problem. The associated HJB equations are used to characterize the value functions. The optimal policies are given in terms of threshold levels. Closed-form solutions of these threshold levels are obtained. Sufficient conditions are given in the form of a verification theorem. Numerical examples are reported to demonstrate the results.