High-Accuracy Information-Rich Inventory Management Based on Discrete Convex Analysis

对于离散优化问题，出现在各种各样的应用中，在许多情况下很难有效地获得最优解。本研究的目的是利用离散凸分析理论，发展高准确度、资讯丰富的库存管理系统。发布库存系统演示软件和离散凸解算器。同时，揭示了凸可拓性与离散Hessian矩阵之间的关系，这一点在文献中还没有得到充分的理解，并且有一些模糊或不精确的表述。

For discrete optimization problem, appearing in a variety of applications, it is hard to obtain an optimum solution efficiently in many cases. The aim of this research is to develop high-accuracy information-rich inventory management systems by using the theory of discrete convex analysis. Demonstration software for inventory system and discrete convex solvers are released. Also, this research revealed the relationship between convex extensibility and discrete Hessian matrices, which was not fully understood in general and some vague or imprecise statements had been made in the literature.