Directional-Quasi-Convexity, Asymmetric Schur-Convexity and Optimality of Consecutive Partitions

DOI10.1287/moor.21.3.540zbMath0866.26008OpenAlexW2022336615MaRDI QIDQ4716923

Uriel G. Rothblum, Frank K. Hwang

Publication date: 27 July 1997

Published in: Mathematics of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1287/moor.21.3.540

zbMATH Keywords

Schur-convexitysymmetric functionsdirectional quasi-convexityoptimality of extreme points

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)

Related Items (15)

Zonotopes and the LP-Newton method ⋮ The mean-partition problem ⋮ The fundamental theorem of linear programming: extensions and applications ⋮ A polytope approach to the optimal assembly problem ⋮ The use of edge-directions and linear programming to enumerate vertices ⋮ Optimality conditions for maximizing a function over a polyhedron ⋮ Sphere-separable partitions of multi-parameter elements ⋮ Maximization of generalized convex functionals in locally convex spaces. ⋮ Principal majorization ideals and optimization ⋮ Smooth inequality measurement: approximation theorems ⋮ Linear-shaped partition problems ⋮ Permutohedra and minimal matrices ⋮ Representations and characterizations of vertices of bounded-shape partition polytopes ⋮ Edge-directions of standard polyhedra with applications to network flows ⋮ Supermodularity in mean-partition problems

This page was built for publication: Directional-Quasi-Convexity, Asymmetric Schur-Convexity and Optimality of Consecutive Partitions