Research Initiation: Analysis of Stochastic Inventory Systems

本课题的目标是考虑复杂随机库存系统的最优规划和控制，其中批量订货必须用于开发规模经济。研究内容包括基本单品库存系统和一般多产品多级系统的分析，以及广义（s, s）系统的优化问题。对于基本的单项目库存系统，研究的重点是敏感性分析，旨在为更复杂系统的有效研究铺平道路。对于多产品多级系统，研究重点是实际库存控制策略的绩效分析。由于这些系统的最优控制是极其困难的，因此目标是开发具有保证最坏情况性能的实用库存控制策略。本研究解决了规划复杂随机库存系统所产生的基本问题。预期的结果将提高对复杂库存系统的理解，并显著增加库存理论文献。

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.