Algorithm for maximizing a linear function on the set of integral points of a convex polyhedron
โ Scribed by Nguen Ngok Tyu
- Publisher
- Springer US
- Year
- 1987
- Tongue
- English
- Weight
- 491 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1573-8337
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๐ SIMILAR VOLUMES
## Abstract The purpose of this article is to present an algorithm for globally maximizing the ratio of two convex functions __f__ and __g__ over a convex set __X__. To our knowledge, this is the first algorithm to be proposed for globally solving this problem. The algorithm uses a branch and bound
Based on the properties of star polygon and that the convex polygon is a special kind of star polygon, with the star point as the origin and the two lines respectively parallel to the x-axis and y-axis as coordinate axis, a relative coordinate system is built and the planar area is divided into four