THE EXISTENCE OF SOLVING SYSTEM OF LINEAR EQUATIONS IN MIN-PLUS ALGEBRA Hanifa Fauziah Nurrahma1*, Siswanto2
1,2 Department of Mathematics, Faculty of Mathematics and Natural Sciences, Sebelas Maret University, Surakarta, 57126, Indonesia
*Email address: hanifafauziahnurrahma[at]student.uns.ac.id
Abstract
Max-plus algebra was first written in Kleene about neural networks and automata. Max-plus algebra is the set R∪-{-∞-}, where R is the set of all real numbers denoted by the operations ⊕- and ⊗- defined as maximum and addition. Max-plus algebra can be used to model and analyze simple production systems, with a focus on the analysis of system input-output problems. Modeling and analyzing a network with the max-plus algebra approach can provide analytical results and is easier to compute. In addition to max-plus algebra, have mentioned several algebraic variants that are similar to max-plus algebra, one of which is min-plus algebra. As in max-plus algebra by approaching, min-plus algebra is also expected to solve related problems and can be modeled and related calculations can be done more analytically. In this study, we will discuss the min-plus algebra linear equation system which will be carried out by analyzing and conducting experiments on the equations already contained in max-plus algebra when implemented into min-plus algebra.
Keywords: Min-Plus Algebra, Min-Plus Algebra Linear Equation System
