The Piecewise Concave Function
The Piecewise Concave Function
复制标题
分段凹函数
DOI：
10.1287/mnsc.13.11.900
复制
发表时间：
1967
影响因子：
5.4
通讯作者：
W. Zangwill
中科院分区：
文献类型：
--
作者：
W. Zangwill
生产和库存模型中经常出现一个既不凹也不凸的重要函数。该函数在本文中被称为分段凹函数并且可以被认为是凹函数的推广。本质上它是凹函数集合的最大值。本文探讨了分段凹函数的各种性质。特别是，开发了一种理论来定位此类函数最小化的点。其中包括对应用程序的简短讨论。
An important function which is neither concave nor convex often arises in production and inventory models. This function is herein called piecewise concave and can be considered to be a generalization of the concave function. Essentially it is the maximum of a collection of concave functions. Various properties of piecewise concave functions are explored in this paper. In particular, a theory is developed to locate the point at which such functions are minimized. A short discussion of applications is included.