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An Adaptive Algorithm for P System Synchronization

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 7184)

Abstract

We present an improved solution for the Firing Squad Synchronization Problem (FSSP) for digraph-structured P systems. We improve our previous FSSP algorithm by allowing the general to delegate a more central cell in the P system to send the final command to synchronize. With e being the eccentricity of the general and r denoting the radius of the underlying digraph, our new algorithm guarantees to synchronize all cells of the system, between e + 2r + 3 steps (for all trees structures and many digraphs) and up to 3e + 7 steps, in the worst case for any digraph. Empirical results show our new algorithm for tree-structured P systems yields at least 20% reduction in the number of steps needed to synchronize over the previous best-known algorithm.

Keywords

  • cellular automata
  • firing squad synchronization
  • P systems

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Dinneen, M.J., Kim, YB., Nicolescu, R. (2012). An Adaptive Algorithm for P System Synchronization. In: Gheorghe, M., Păun, G., Rozenberg, G., Salomaa, A., Verlan, S. (eds) Membrane Computing. CMC 2011. Lecture Notes in Computer Science, vol 7184. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28024-5_11

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  • DOI: https://doi.org/10.1007/978-3-642-28024-5_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28023-8

  • Online ISBN: 978-3-642-28024-5

  • eBook Packages: Computer ScienceComputer Science (R0)