Complexity of evolution in maximum cooperative P systems

  • Authors:
  • Gabriel Ciobanu;Andreas Resios

  • Affiliations:
  • Romanian Academy, Institute of Computer Science, Iasi, Romania;"A.I.Cuza" University, Iasi, Romania 700506

  • Venue:
  • Natural Computing: an international journal
  • Year:
  • 2009

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Abstract

We introduce a variant of P systems called maximum cooperative P systems; it consists of transition P systems with cooperative rules that evolve at each step by consuming the maximum number of objects. The problem of distributing objects to rules in order to achieve a maximum consuming evolution is studied by introducing the resource mapping problem. The decision version of this optimization problem is proved to be NP-complete. We describe a new simulation technique for the evolution of the maximum cooperative P systems based on integer linear programming. Finally we illustrate the evolution by an example.