Original Article

Acta Informatica

, Volume 46, Issue 1, pp 43-55

First online:

Exploiting colored Petri nets to decide on permutation admissibility

  • Rza BashirovAffiliated withDepartment of Applied Mathematics and Computer Science, Eastern Mediterranean University Email author 
  • , Fabrice KordonAffiliated withUniversité P. & M. Curie, LIP6/MoVe
  • , Hüseyin LortAffiliated withDepartment of Applied Mathematics and Computer Science, Eastern Mediterranean University

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Abstract

In this work, we propose an innovative approach to investigate the admissibility of permutations to multistage interconnection networks—a challenging problem of switching theory. The proposed approach is centered upon modeling of multistage interconnection networks with colored Petri nets and use of Petri net analysis tools such as the unfolding technique and the invariants method. To assess the feasibility of the proposed approach we demonstrate that the complete unfoldings obtained in this work are polynomial in the problem size and employ an acyclic structure. The approach takes advantage of easy to use, yet extremely efficient, software tools.