Concave minimization over a convex polyhedron
โ Scribed by Hamdy A. Taha
- Publisher
- John Wiley and Sons
- Year
- 1973
- Tongue
- English
- Weight
- 781 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0894-069X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We present an algorithm for solving the problem of globally minimizing a concave function over the integers contained in a compact polyhedron. The objective function of this problem need not be separable or even analytically defined. To our knowledge, the algorithm is the first ever proposed for thi
Let P be a convex polyhedron in R s, and E be a plane cutting P. Then the section Pt=Pc~E is a convex polygon. We show a sharp inequality (the perimeter of Pe) <~ L(P), where L(P) denotes the sum of the edge-lengths of P. For a polyhedron (or a polygon) X, L(X) denotes the sum of the edge-lengths o