Results 211 to 220 of about 79,058 (240)

Einsatz der Max-Plus/Min-Plus Algebra zur automatisierten Sicherheitsanalyse (The Application of Max-Plus/Min-Plus Algebra for an Automated Safety Analysis)

at - Automatisierungstechnik, 2003
Abstract In dem vorliegenden Artikel wird ein Verfahren zur binären Beschreibung von verteilten ereignisdiskreten Systemen vorgestellt. Dieses wird als Grundlage für eine Sicherheitsanalyse in einer frühen Phase der Systementwicklung und zur automatisierten Ermittlung von Fehlerabhängigkeiten eingesetzt.
Wolfgang Längst, Andreas Lapp, Kathrin Stübbe, Jürgen Schirmer, Dieter Kraft   +4 more
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The characteristic equation of the matrix over min-plus algebra

Journal of Interdisciplinary Mathematics, 2023
Max-plus algebra is one of many idempotent semi-rings. The max-plus algebraic structure is semi field while the conventional algebra is a field. Because of their similar structure, various properties and concepts in the conventional algebra such as characteristic equations have max plus algebraic equivalence. The characteristic equation has been proved
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Modeling of distributed systems based on a Generalized Min Plus Algebra

IFAC Proceedings Volumes, 1999
Abstract In this article a model of the communication structure in a distributed system is presented. The distributed system is described by an object-oriented model containing objects with input and output signal nodes and signal paths between these nodes. Signal rates represent the information flow through the modeled structure.
Berger, Torsten, Thierer, Carsten, Kiencke, Uwe   +2 more
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Min-Plus-Algebra

2011
Fur Bedienprozesse mit stationaren Zuwachsen, d. h. S(t) – S(s)=S(t – s), und deterministischem Verhalten, d. h. S(t) = S(t)S, gilt Gl. (18.8) auch mit dem Gleichheitszeichen (vgl. Gl. 18.3)):
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Deterministic traffic specification via projections under the min-plus algebra

IEEE INFOCOM '99. Conference on Computer Communications. Proceedings. Eighteenth Annual Joint Conference of the IEEE Computer and Communications Societies. The Future is Now (Cat. No.99CH36320), 1999
We address the parameterization problem for traffic envelopes needed for deterministic traffic regulation and service guarantees. A parameterized function is a good "substitute" for a traffic envelope if (i) the substitute is not smaller than the envelope and (ii) no other functions not smaller than the envelope are smaller than the substitute ...
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Networks methods for endomorphisms of semimodules over min-plus algebras

2005
It is natural to consider the mapping A as an "integral" operator with the kernel a(x, ~) = L(x , ~ x) in a functional semimodule over the semiring ~ = R U (+e~) with the operations ~ = min, (D = + [ I, 2]. The usual method of computation of an integral operator consists in replacing it by a sum over the nodes of a network.
Peter I. Dudnikov, Sergei N. Samborski
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Matrix Multiply-Add in Min-plus Algebra on a Short-Vector SIMD Processor of Cell/B.E.

2010 First International Conference on Networking and Computing, 2010
It is well-known that the all-pairs shortest paths problem has a similar algorithmic characteristic to the classical matrix-matrix multiply-add (MMA) problem, one of the differences between the two problems is in the underlying algebra: the matrix multiply-add uses linear (+, x)-algebra whereas the all-pairs shortest paths problem uses (min, +)-algebra.
Kazuya Matsumoto, Stanislav G. Sedukhin
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Bandwidth estimation in network probing techniques utilizing min-plus algebraic methods

i-manager’s Journal on Wireless Communication Networks
Bandwidth estimation in network probing techniques plays a crucial role in modern networks, particularly in ensuring superior Quality of Service (QoS). This is largely influenced by advancements in IEEE 802.11 standards, which aim to enhance service performance.
Tiwary Neelam, Antony Herman Ignatius, D. Samson   +2 more
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Control laws synthesis to satisfy generalized mutual exclusion constraints for timed event graphs networks using min-plus algebra

Information Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rajah, Jihene, Amari, Said, Barkallah, Maher, Haddar, Mohamed   +3 more
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Solving the eigenproblems of triangular and diagonal strictly double ℝ-astic matrices over min-plus algebra

Journal of Discrete Mathematical Sciences & Cryptography
The algebraic structure defined by the triple (ℝε’, ⊕’, ⊗), commonly referred to as minplusalgebraic semi-field. The eigenvalue and eigenvector problem is one of the key issue in min-plus algebra. With a literature review as the research method, this paper investigates and derives explicit formulas for solving the eigenproblem of two special matrices ...
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