Results 51 to 60 of about 948 (156)

Ultradiscrete sine-Gordon Equation over Symmetrized Max-Plus Algebra, and Noncommutative Discrete and Ultradiscrete sine-Gordon Equations

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2013
Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete sine-Gordon equation.
Kenichi Kondo
doaj   +1 more source

Scheduling‐measure dependent modelling of delay propagation on a single railway line: A matrix transformation approach

open access: yesIET Intelligent Transport Systems, 2021
This paper proposes an analytical delay propagation model for single railway lines based on the max‐plus algebra theory. The scheduling measures taken by dispatchers, including re‐timing and re‐ordering, will be incorporated into our delay propagation ...
Junfeng Ma   +4 more
doaj   +1 more source

Learnable Petri Net Neural Network Using Max-Plus Algebra

open access: yesMachine Learning and Knowledge Extraction
Interpretable decision-making algorithms are important when used in the context of production optimization. While concepts like Petri nets are inherently interpretable, they are not straightforwardly learnable.
Mohammed Sharafath Abdul Hameed   +2 more
doaj   +1 more source

Simulation and Coordination of Autonomous Bio-Inspired Underwater Agents

open access: yesIEEE Access
This paper presents the preliminary results of the MAXFISH project, which aims to develop an integrated methodological and technological framework for modeling, simulating, and controlling coordinated bio-inspired robotic fish shoals. The system combines
David Scaradozzi   +12 more
doaj   +1 more source

Max-Plus Algebraic Throughput Analysis of Synchronous Dataflow Graphs [PDF]

open access: yes2012 38th Euromicro Conference on Software Engineering and Advanced Applications, 2012
In this paper we present a novel approach to throughput analysis of synchronous dataflow (SDF) graphs. Our approach is based on describing the evolution of actor firing times as a linear time-invariant system in max-plus algebra. Experimental results indicate that our approach is faster than state-of-the-art approaches to throughput analysis of SDF ...
Robert de Groote   +3 more
openaire   +1 more source

Structure of the eigenspace of a Monge matrix in max-plus algebra

open access: yesDiscrete Applied Mathematics, 2008
Matrix computations using maximum and minimum operations have been considered by many authors in optimization problems. The steady states of discrete events processes correspond to eigenvectors of max-plus matrices, so the characterization of the eigenspace structure is important for the applications purposes. Let \(G=\mathbb R\cup\left\{-\infty\right\}
Martin Gavalec, Ján Plávka
openaire   +2 more sources

PRELIMINARY STUDY ON APPLICATION OF MAX PLUS ALGEBRA IN DISTRIBUTED STORAGE SYSTEM THROUGH NETWORK CODING

open access: yesJurnal Sains Dasar, 2016
The increasing need in techniques of storing big data presents a new challenge. One way to address this challenge is the use of distributed storage systems.
Agus Maman Abadi   +2 more
doaj  

On Resilient Control of Max-Plus Linear Systems Under Sensor Timestamp-Delay Attacks

open access: yesIEEE Access
This paper investigates the resilience of max-plus linear systems (MPLS) against a class of deception attacks on sensor readings. We refer to this class as timestamp-delay deception attacks, in which an attacker deliberately delays the timestamps of ...
Andre Eurico de Morais   +1 more
doaj   +1 more source

Eigenvectors of interval matrices over max–plus algebra

open access: yesDiscrete Applied Mathematics, 2005
The semiring \((\overline R,\oplus,\otimes)\) is called max-plus algebra, where \(\overline R\) denotes the reals extended by \(-\infty\), where \(\oplus\) is the maximum operator, and \(\otimes\) the common product in \(\overline R\) with \(-\infty\) as null-element. Then, matrices and interval matrices are defined over \(\overline R\).
openaire   +1 more source

Synchonized DAMRI Public Tourist Transportation Route Design using Max-Plus Algebra

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika)
The transportation system is a crucial infrastructure for supporting connectivity between each National Strategic Tourist Area (NSTA) tourist destination of Yogyakarta.
Krisma Yonantha   +2 more
doaj   +1 more source

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