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Handling Markov Chains with Membrane Computing

  • Mónica Cardona
  • M. Angels Colomer
  • Mario J. Pérez-Jiménez
  • Alba Zaragoza
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4135)

Abstract

In this paper we approach the problem of computing the n–th power of the transition matrix of an arbitrary Markov chain through membrane computing. The proposed solution is described in a semi–uniform way in the framework of P systems with external output. The amount of resources required in the construction is polynomial in the number of states of the Markov chain and in the power. The time of execution is linear in the power and is independent of the number of states involved in the Markov chain.

Keywords

Markov Chain Transition Matrix Turing Machine Transition Probability Matrix Evolution Rule 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Mónica Cardona
    • 1
  • M. Angels Colomer
    • 1
  • Mario J. Pérez-Jiménez
    • 2
  • Alba Zaragoza
    • 1
  1. 1.Department of MathematicsUniversity of LleidaLLeidaSpain
  2. 2.Research Group on Natural Computing, Department of Computer Science and Artificial IntelligenceUniversity of SevillaSevillaSpain

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