Please use this identifier to cite or link to this item: https://hdl.handle.net/11000/30983

Modeling a New AQM Model for Internet Chaotic Behavior Using Petri Nets

Title:
Modeling a New AQM Model for Internet Chaotic Behavior Using Petri Nets
Authors:
Giménez, Ángel
AMIGO, JOSE M.  
Martinez Bonastre, Oscar  
Valero, José
Duran, Gullem
Editor:
MDPI
Department:
Departamentos de la UMH::Estadística, Matemáticas e Informática
Issue Date:
2021
URI:
https://hdl.handle.net/11000/30983
Abstract:
Formal modeling is considered one of the fundamental phases in the design of network algorithms, including Active Queue Management (AQM) schemes. This article focuses on modeling with Petri nets (PNs) a new scheme of AQM. This innovative AQM is based on a discrete dynamical model of random early detection (RED) for controlling bifurcations and chaos in Internet conges tion control. It incorporates new parameters (α, β) that make possible better stability control over oscillations of an average queue length (AQL) at the router. The PN is validated through the matrix equation approach, reachability tree, and invariant analysis. The correctness is validated through the key properties of reachability, boundedness, reversibility, deadlock, and liveness.
Keywords/Subjects:
Petri nets
Internet
congestion control
AQM
dynamical systems
chaos
bifurcation
Knowledge area:
CDU: Ciencias puras y naturales
Type of document:
application/pdf
Access rights:
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
DOI:
https://doi.org/10.3390/app11135877
Appears in Collections:
Artículos Estadística, Matemáticas e Informática



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