Monotone Optimal Multipartitions Using Schur Convexity with Respect to Partial Orders

DOI10.1137/0406042zbMath0806.90047OpenAlexW2062162600MaRDI QIDQ4302266

Uriel G. Rothblum, Lawrence A. Shepp, Frank K. Hwang

Publication date: 14 August 1994

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0406042

zbMATH Keywords

monotonicitypartition functionreliability functionpartial ordermajorizationSchur convexityoptimal multipartitions

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Production models (90B30) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Related Items (9)

The Schur multiplicative and harmonic convexities of the complete symmetric function ⋮ Some properties of a class of symmetric functions and its applications ⋮ Schur convexity for the ratios of the Hamy and generalized Hamy symmetric functions ⋮ Schur convexity for two classes of symmetric functions and their applications ⋮ Some properties for a class of symmetric functions with applications ⋮ Schur-convexity for a class of symmetric functions and its applications ⋮ Schur convexity for a class of symmetric functions ⋮ The Schur harmonic convexity of the Hamy symmetric function and its applications ⋮ Solution of an open problem for Schur convexity or concavity of the Gini mean values

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