Results 151 to 160 of about 977 (189)
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On a generalization of power algorithms over max-plus algebra
Discrete Event Dynamic Systems: Theory and Applications, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kistosil Fahim +2 more
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2006
Max-plus algebra has been discovered more or less independently by several schools, in relation with various mathematical fields. This chapter is limited to finite dimensional linear algebra. For more information, the reader may consult the books [CG79], [Zim81], [CKR84], [BCOQ92], [KM97], [GM02], and [HOvdW06].
Marianne Akian +2 more
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Max-plus algebra has been discovered more or less independently by several schools, in relation with various mathematical fields. This chapter is limited to finite dimensional linear algebra. For more information, the reader may consult the books [CG79], [Zim81], [CKR84], [BCOQ92], [KM97], [GM02], and [HOvdW06].
Marianne Akian +2 more
openaire +2 more sources
Introduction to max-plus algebra
Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation, 2014This tutorial will focus on the basics of max-plus algebra along with relevant topics. Max-plus algebra is a discrete algebraic system in which the max and plus operations are defined as addition and multiplication in conventional algebra. Using this system, the behavior of a class of discrete event systems can be represented by simple linear equations,
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Max-plus algebra in the history of discrete event systems
Annual Reviews in Control, 2018Abstract This paper is a survey of the history of max-plus algebra and its role in the field of discrete event systems during the last three decades. It is based on the perspective of the authors but it covers a large variety of topics, where max-plus algebra plays a key role.
J -L Boimond
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Tolerance types of interval eigenvectors in max-plus algebra
Information Sciences, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin Gavalec +2 more
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Soluble Approximation of Linear Systems in Max-Plus Algebra [PDF]
IFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2001 Summary: We propose an efficient method for finding a Chebyshev-best soluble approximation to an insoluble system of linear equations over max-plus algebra.
Katarina Cechlárová +1 more
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Computing an Eigenvector of a Monge Matrix in Max-Plus Algebra
Mathematical Methods of Operations Research, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin Gavalec, Ján Plávka
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Matrix roots in the max-plus algebra
Linear Algebra and its Applications, 2021When working with max-plus algebras, one considers the max-plus semi-ring, namely the set \( \mathbb{R}_{\max} = \{-\infty\} \cup \mathbb{R}\) together with the operations \((a, b) \mapsto \max (a, b)\) and \((a, b) \mapsto a+b\). Here, the author shows that a \(2\times 2\) finite matrix is infinitely divisible if and only if \(d(A) \ge 0\), where \(d ...
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Max-plus algebra and max-plus linear discrete event systems: An introduction
2008 9th International Workshop on Discrete Event Systems, 2008We provide an introduction to the max-plus algebra and explain how it can be used to model a specific class of discrete event systems with synchronization but no concurrency. Such systems are called max-plus linear discrete event systems because they can be described by a model that is ldquolinearrdquo in the max-plus algebra.
Bart De Schutter, Ton van den Boom
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MAX-PLUS ALGEBRA MODELING FOR A PUBLIC TRANSPORT SYSTEM
Cybernetics and Systems, 2005Abstract This paper discusses the use of Petri net languages, particularly, its subclass “timed event graph” for modeling a public transport network. The behavior of the network is described by a particular algebraic structure called (max, +) algebra. We show that the modeling of such a network is possible under some hypotheses.
Ahmed Nait-Sidi-Moh +3 more
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