论文标题
关于与离散凸功能网络诱导有关的基本操作
On Basic Operations Related to Network Induction of Discrete Convex Functions
论文作者
论文摘要
离散凸功能在许多领域都使用，包括操作研究，离散事件系统，游戏理论和经济学。本文的目的是研究与离散凸函数网络诱导以及离散凸集有关的基本操作，例如直接总和，拆分和聚合。在离散凸分析中，各种离散凸功能都被认为是凸函数，l-convex函数，M-convex函数，多模块化函数和离散的中点凸函数。
Discrete convex functions are used in many areas, including operations research, discrete-event systems, game theory, and economics. The objective of this paper is to investigate basic operations such as direct sum, splitting, and aggregation that are related to network induction of discrete convex functions as well as discrete convex sets. Various kinds of discrete convex functions in discrete convex analysis are considered such as integrally convex functions, L-convex functions, M-convex functions, multimodular functions, and discrete midpoint convex functions.
