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Independence and orthogonality of algebraic eigenvectors over the max-plus algebra

open access: yesLinear and Multilinear Algebra
29 pages, 1 ...
Yuki Nishida, Yoshihide Watanabe
exaly   +3 more sources

Computing an eigenvector of an inverse Monge matrix in max–plus algebra

open access: yesDiscrete Applied Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aleksey A. Imaev, Robert P. Judd
exaly   +3 more sources
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Analytic expressions in stochastic max-plus-linear algebra

53rd IEEE Conference on Decision and Control, 2014
In stochastic max-plus-linear systems one often needs to compute the expectation of a max-plus-scaling function. The algorithms available in literature are either too computationally expensive or only give an approximation. In this paper we derive an analytic expression for this expectation in the case of a uniform distribution, resulting in a ...
Ton J. J. van den Boom, Bart De Schutter
openaire   +1 more source

The Max-Plus Algebra and the Network Calculus

2006 8th International Workshop on Discrete Event Systems, 2006
Discrete event dynamic systems (DEDS) are systems whose state transitions are triggered by events that occur at discrete instants of time. The communication networks are examples of this kind of systems. The mathematical constraints of some DEDS can be described more adequately using the max-plus algebra.
openaire   +1 more source

Using Max-Plus Algebra for the Evaluation of Stochastic Process Algebra Prefixes

2001
In this paper, the concept of complete finite prefixes for process algebra expressions is extended to stochastic models. Events are supposed to happen after a delay that is determined by random variables assigned to the preceding conditions. Max-plus algebra expressions are shown to provide an elegant notation for stochastic prefixes not containing any
Lucia Cloth   +2 more
openaire   +1 more source

Max-Plus Algebra and Mathematical Fear in Dynamic Optimization

Set-Valued Analysis, 2000
The reviewed paper is devoted to the max-plus algebra, a special case of Maslov's idempotent algebras, consisting of the set \(\overline R = R \cup \{ -\infty \}\) endowed with the operations \(\max\) and \(+\). Basic notions of the max-plus algebra and the corresponding linear algebra are presented. Its applications for solving a production scheduling
openaire   +2 more sources

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