Using Central Nodes to Improve P System Synchronization

نویسندگان

  • Michael J. Dinneen
  • Radu Nicolescu
چکیده

We present an improved solution for the Firing Squad Synchronization Problem (FSSP) for digraph-based 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-based P systems yields at least 20% reduction in the number of steps needed to synchronize over the previous best-known algorithm.

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تاریخ انتشار 2011