Results 11 to 20 of about 1,423 (198)

Bases in Min-Plus Algebra [PDF]

Advances in social science, education and humanities research, 2021
Vika Yugi Kurniawan, null Siswanto, Syahida Amalia Rosyada   +2 more
exaly   +2 more sources

Tropical Geometry Based Edge Detection Using Min‐Plus and Max‐Plus Algebra

Studies in Applied Mathematics
ABSTRACT This paper presents a tropical geometry‐based edge detection framework that reformulates convolution and gradient operations using min‐plus and max‐plus algebra. By emphasizing dominant intensity variations, the tropical formulation yields sharper and more continuous edge representations.
S. Shivam Kumar Jha, Jaya NN Iyer
exaly   +3 more sources

MASALAH EIGEN DAN EIGENMODE MATRIKS ATAS ALJABAR MIN-PLUS

Barekeng, 2021
Eigen problems and eigenmode are important components related to square matrices. In max-plus algebra, a square matrix can be represented in the form of a graph called a communication graph.
Eka Widia Rahayu, Siswanto Siswanto, Santoso Budi Wiyono   +2 more
doaj   +1 more source

Nancy: An efficient parallel Network Calculus library

SoftwareX, 2022
This paper describes Nancy, a Network Calculus (NC) library that allows users to perform complex min-plus and max-plus algebra operations efficiently. To the best of our knowledge, Nancy is the only open-source library that implements operations working ...
Raffaele Zippo, Giovanni Stea
doaj   +1 more source

Detailed Consideration of Graphical Calculation of Min-Plus Convolution in Deterministic Network Calculus [PDF]

International Journal of Electronics and Telecommunications, 2018
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
doaj   +1 more source

Strong Tolerance and Strong Universality of Interval Eigenvectors in a Max-Łukasiewicz Algebra

Mathematics, 2020
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, Zuzana Němcová, Ján Plavka   +2 more
doaj   +1 more source

An Algebra of Synchronous Scheduling Interfaces [PDF]

Electronic Proceedings in Theoretical Computer Science, 2011
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
doaj   +1 more source

Generic Asymptotics of Eigenvalues and Min-Plus Algebra

IFAC Proceedings Volumes, 2004
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, Bapat, Ravindra, Gaubert, Stéphane   +2 more
openaire   +2 more sources

Worst-Case Timing Analysis of AFDX Networks With Multiple TSN/BLS Shapers

IEEE Access, 2020
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
doaj   +1 more source

Programs in C++ for matrix computations in min plus algebra

CoRR, 2013
The main purpose of this paper is to propose six programs in C++ for matrix computations and solving recurrent equations systems with entries in min plus algebra.
Mihai Ivan, Gheorghe Ivan
openaire   +2 more sources