Research Initiation: Analysis of Stochastic Inventory Systems

这个项目的目的是考虑复杂的随机库存系统的最优计划和控制，其中必须使用批量订购来开发规模经济。研究内容包括基本的单物品库存系统和一般多产品多层次系统的分析，以及广义(S，S)系统的优化。对于基本的单物品库存系统，研究的重点是灵敏度分析，旨在为更复杂系统的有效研究铺平道路。对于多产品多层次系统，重点研究了实际库存控制策略的性能分析。由于这些系统的最优控制是极其困难的，目标是制定实用的库存控制策略，并保证最坏情况下的性能。这项研究解决了计划复杂的随机库存系统所产生的基本问题。预期的结果将加深对复杂库存系统的理解，并对库存理论文献有重要的补充作用。

The object of this project is to consider the optimal planning and control of complex stochastic inventory systems where batch ordering must be used to exploit the economies of scale. The research consists of problems that include analyses of basic single-item inventory systems and general multi-product multi- echelon systems, and optimization of generalized (s,S) systems. For basic single-item inventory systems, the research is focused on sensitivity analysis, which is designed to pave the path to effective research on more complex systems. For multi-product multi-level systems, the research is focused on performance analysis of practical inventory control policies. Since optimal control of these systems is extremely difficult, the goal is to develop practical inventory control policies with guaranteed worst case performance. This research addresses fundamental issues arising from planning complex stochastic inventory systems. The anticipated results will improve the understanding of complex inventory systems, and add significantly to inventory theory literature.