An adaptive algorithm for p system synchronization

  • Authors:
  • Michael J. Dinneen;Yun-Bum Kim;Radu Nicolescu

  • Affiliations:
  • Department of Computer Science, University of Auckland, Auckland, New Zealand;Department of Computer Science, University of Auckland, Auckland, New Zealand;Department of Computer Science, University of Auckland, Auckland, New Zealand

  • Venue:
  • CMC'11 Proceedings of the 12th international conference on Membrane Computing
  • Year:
  • 2011

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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.