GAPN-LA: A framework for solving graph problems using Petri nets and learning automata

A fusion of learning automata and Petri nets, referred to as APN-LA, has been recently introduced in the literature for achieving adaptive Petri nets. A number of extensions to this adaptive Petri net have also been introduced; together we name them the APN-LA family. Members of this family can be u...

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Vydané v:Engineering applications of artificial intelligence Ročník 77; s. 255 - 267
Hlavní autori: Vahidipour, S.M., Esnaashari, M., Rezvanian, A., Meybodi, M.R.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier Ltd 01.01.2019
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Abstract A fusion of learning automata and Petri nets, referred to as APN-LA, has been recently introduced in the literature for achieving adaptive Petri nets. A number of extensions to this adaptive Petri net have also been introduced; together we name them the APN-LA family. Members of this family can be utilized for solving problems in the domain of graph problems; each member is suitable for a specific category within this domain. In this paper, we aim at generalizing this family into a single framework, called generalized APN-LA (GAPN-LA), which can be considered as a framework for solving graph-based problems. This framework is an adaptive Petri net, organized into a graph structure. Each place or transition in the underlying Petri net is mapped into exactly one vertex of the graph, and each vertex of the graph represents a part of the underlying Petri net. A vertex in GAPN-LA can be considered as a module, which, in cooperation with other modules in the framework, helps in solving the problem at hand. To elaborate the problem-solving capability of the GAPN-LA, several graph-based problems have been solved in this paper using the proposed framework.
AbstractList A fusion of learning automata and Petri nets, referred to as APN-LA, has been recently introduced in the literature for achieving adaptive Petri nets. A number of extensions to this adaptive Petri net have also been introduced; together we name them the APN-LA family. Members of this family can be utilized for solving problems in the domain of graph problems; each member is suitable for a specific category within this domain. In this paper, we aim at generalizing this family into a single framework, called generalized APN-LA (GAPN-LA), which can be considered as a framework for solving graph-based problems. This framework is an adaptive Petri net, organized into a graph structure. Each place or transition in the underlying Petri net is mapped into exactly one vertex of the graph, and each vertex of the graph represents a part of the underlying Petri net. A vertex in GAPN-LA can be considered as a module, which, in cooperation with other modules in the framework, helps in solving the problem at hand. To elaborate the problem-solving capability of the GAPN-LA, several graph-based problems have been solved in this paper using the proposed framework.
Author Rezvanian, A.
Vahidipour, S.M.
Meybodi, M.R.
Esnaashari, M.
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Keywords Modular algorithms
Graph-based problems
Adaptive Petri net
Learning automata
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  ident: 10.1016/j.engappai.2018.10.013_b50
  article-title: Finding minimum weight connected dominating set in stochastic graph based on learning automata
  publication-title: Inf. Sci.
  doi: 10.1016/j.ins.2012.02.057
– ident: 10.1016/j.engappai.2018.10.013_b31
– ident: 10.1016/j.engappai.2018.10.013_b18
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Snippet A fusion of learning automata and Petri nets, referred to as APN-LA, has been recently introduced in the literature for achieving adaptive Petri nets. A number...
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StartPage 255
SubjectTerms Adaptive Petri net
Graph-based problems
Learning automata
Modular algorithms
Title GAPN-LA: A framework for solving graph problems using Petri nets and learning automata
URI https://dx.doi.org/10.1016/j.engappai.2018.10.013
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