Development of Evolutionary Systems Based on Quantum Petri Nets

Evolutionary systems (ES) include software applications that solve problems using heuristic methods instead of the deterministic ones. The classical computing used for ES development involves random methods to improve different kinds of genomes. The mappings of these genomes lead to individuals that...

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Main Authors: Tiberiu Stefan Letia, Elenita Maria Durla-Pasca, Dahlia Al-Janabi, Octavian Petru Cuibus
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/23/4404
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author Tiberiu Stefan Letia
Elenita Maria Durla-Pasca
Dahlia Al-Janabi
Octavian Petru Cuibus
author_facet Tiberiu Stefan Letia
Elenita Maria Durla-Pasca
Dahlia Al-Janabi
Octavian Petru Cuibus
author_sort Tiberiu Stefan Letia
collection DOAJ
description Evolutionary systems (ES) include software applications that solve problems using heuristic methods instead of the deterministic ones. The classical computing used for ES development involves random methods to improve different kinds of genomes. The mappings of these genomes lead to individuals that correspond to the searched solutions. The individual evaluations by simulations serve for the improvement of their genotypes. Quantum computations, unlike the classical computations, can describe and simulate a large set of individuals simultaneously. This feature is used to diminish the time for finding the solutions. Quantum Petri Nets (QPNs) can model dynamical systems with probabilistic features that make them appropriate for the development of ES. Some examples of ES applications using the QPNs are given to show the benefits of the current approach. The current research solves quantum evolutionary problems using quantum genetic algorithms conceived and improved based on QPN. They were tested on a dynamic system using a Quantum Discrete Controlled Walker (QDCW).
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spelling doaj.art-a9d61c99f5c84573971fd5f4a144ab232023-11-24T11:33:02ZengMDPI AGMathematics2227-73902022-11-011023440410.3390/math10234404Development of Evolutionary Systems Based on Quantum Petri NetsTiberiu Stefan Letia0Elenita Maria Durla-Pasca1Dahlia Al-Janabi2Octavian Petru Cuibus3Department of Automation, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, RomaniaDepartment of Automation, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, RomaniaDepartment of Automation, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, RomaniaDepartment of Automation, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, RomaniaEvolutionary systems (ES) include software applications that solve problems using heuristic methods instead of the deterministic ones. The classical computing used for ES development involves random methods to improve different kinds of genomes. The mappings of these genomes lead to individuals that correspond to the searched solutions. The individual evaluations by simulations serve for the improvement of their genotypes. Quantum computations, unlike the classical computations, can describe and simulate a large set of individuals simultaneously. This feature is used to diminish the time for finding the solutions. Quantum Petri Nets (QPNs) can model dynamical systems with probabilistic features that make them appropriate for the development of ES. Some examples of ES applications using the QPNs are given to show the benefits of the current approach. The current research solves quantum evolutionary problems using quantum genetic algorithms conceived and improved based on QPN. They were tested on a dynamic system using a Quantum Discrete Controlled Walker (QDCW).https://www.mdpi.com/2227-7390/10/23/4404quantum computinggenetic algorithmsPetri netsquantum Petri netssoftware development, analysis and verification
spellingShingle Tiberiu Stefan Letia
Elenita Maria Durla-Pasca
Dahlia Al-Janabi
Octavian Petru Cuibus
Development of Evolutionary Systems Based on Quantum Petri Nets
Mathematics
quantum computing
genetic algorithms
Petri nets
quantum Petri nets
software development, analysis and verification
title Development of Evolutionary Systems Based on Quantum Petri Nets
title_full Development of Evolutionary Systems Based on Quantum Petri Nets
title_fullStr Development of Evolutionary Systems Based on Quantum Petri Nets
title_full_unstemmed Development of Evolutionary Systems Based on Quantum Petri Nets
title_short Development of Evolutionary Systems Based on Quantum Petri Nets
title_sort development of evolutionary systems based on quantum petri nets
topic quantum computing
genetic algorithms
Petri nets
quantum Petri nets
software development, analysis and verification
url https://www.mdpi.com/2227-7390/10/23/4404
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AT octavianpetrucuibus developmentofevolutionarysystemsbasedonquantumpetrinets