An Algebra of Synchronous Scheduling Interfaces [PDF]
In this paper we propose an algebra of synchronous scheduling interfaces which combines the expressiveness of Boolean algebra for logical and functional behaviour with the min-max-plus arithmetic for quantifying the non-functional aspects of synchronous ...
Michael Mendler
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PENERAPAN MIN PLUS ALGEBRA PADA PENENTUAN RUTE TERCEPAT DISTRIBUSI SUSU [PDF]
Penelitian ini bertujuan untuk mencari rute tercepat yang bisa ditempuh untuk mendistribusikan susu dari produsen di daerah Kepanjen Malang ke Pabrik pengolah di daerah Tanggulangin dengan menggunakan algoritma Min Plus Algebra . Metode penelitian yang digunakan adalah kualitatif deskriptif.
VIVI SUWANTI +2 more
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Interval min-plus algebraic structure and matrices over interval min-plus algebra
Abstract Max-plus algebra is the set ℝ max
A R Awallia +2 more
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Detailed Consideration of Graphical Calculation of Min-Plus Convolution in Deterministic Network Calculus [PDF]
The convolution operation used in deterministic network calculus differs from its counterpart known from the classic systems theory. A reason for this lies in the fact that the former is defined in terms of the so-called min-plus algebra.
Andrzej Borys
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Generic Asymptotics of Eigenvalues and Min-Plus Algebra
We consider a square matrix $\mathcal{A}_{\epsilon}$ whose entries have asymptotics of the form $(\mathcal{A}_{\epsilon})_{ij}= a_{ij}\epsilon^{A_{ij}}+o(\epsilon^{A_{ij}})$ when $\epsilon$ goes to $0$, for some complex coefficients $a_{ij}$ and real exponents $A_{ij}$.
Akian, Marianne +2 more
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Strong Tolerance and Strong Universality of Interval Eigenvectors in a Max-Łukasiewicz Algebra
The Łukasiewicz conjunction (sometimes also considered to be a logic of absolute comparison), which is used in multivalued logic and in fuzzy set theory, is one of the most important t-norms.
Martin Gavalec +2 more
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Synthetizing State Feedback Control Laws for Discrete Event Systems with Constrained Paths Using Min-Plus Algebra [PDF]
International ...
Ben Afia, Nesrine, Amari, Saïd
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Tropical Effective Primary and Dual Nullstellens\"atze [PDF]
Tropical algebra is an emerging field with a number of applications in various areas of mathematics. In many of these applications appeal to tropical polynomials allows to study properties of mathematical objects such as algebraic varieties and algebraic
Grigoriev, Dima, Podolskii, Vladimir V.
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Worst-Case Timing Analysis of AFDX Networks With Multiple TSN/BLS Shapers
This paper addresses the problem of worst-case timing analysis of extended Avionics Full Duplex Switched Ethernet (AFDX) networks, incorporating Time-Sensitive Networking (TSN) shapers called Burst Limiting Shapers (BLS), to enable the interconnection of
A. Finzi, A. Mifdaoui
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On hyperplanes and semispaces in max-min convex geometry [PDF]
The concept of separation by hyperplanes is fundamental for convex geometry and its tropical (max-plus) analogue. However, analogous separation results in max-min convex geometry are based on semispaces.
Nitica, Viorel, Sergeev, Sergei
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