Min algebraic duality
type: Item
instance of: scholarly article
title: Min algebraic duality
zbMATH Open document ID: 0621.06011
DOI: 10.1016/0166-218X(87)90057-6
author: Donna Crystal Llewellyn
published in: Discrete Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: The author developes an elimination scheme for inductively solving systems of min-algebraic equations of the form \[ \min_{1\leq j\leq n}(a_{ij}+x_ j)=b_ i,\quad i=1,...,m \] where \(a_{ij}\in Z\), \(b_ i\in Z\) are given. A theorem of alternatives for such systems is proved. This theorem is closely related to one of the duality models described by \textit{A. J. Hoffman} [Nav. Res. Logist. Q. 10, 369-373 (1963; Zbl 0122.153)].
Mathematics Subject Classification ID: 06F15
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 06A06
zbMATH DE Number: 4006316
zbMATH Keywords: elimination scheme
zbMATH Keywords: solving systems of min-algebraic equations
reviewed by: Karel Zimmermann
MaRDI profile type: Publication
cites work: Minimax algebra
cites work: On abstract dual linear programs
full work available at URL: 0166-218x(87)90057-6
OpenAlex ID: W2059564493
description: scientific article; zbMATH DE number 4006316