Different time solutions for the firing squad synchronization problem on basic grid networks

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Authors

GRUSKA Jozef LA TORRE Salvatore NAPOLI Margherita PARENTE Mimmo

Year of publication 2006
Type Article in Periodical
Magazine / Source RAIRO - Theoretical Informatics and Applications
MU Faculty or unit

Faculty of Informatics

Citation
Field Informatics
Keywords Firing Squad Synchronization Problems
Description We present several solutions to the Firing Squad Synchronization Problem on grid networks of different shapes. The nodes are finite state processors that work in unison with other processors and in synchronized discrete steps. The networks we deal with are: the line, the ring and the square. For all of these models we consider one- and two-way communication modes and we also constrain the quantity of information that adjacent processors can exchange at each step. We first present synchronization algorithms that work in time $n^2$, $n \log n$, $n\sqrt n$, $2^n$, where n is a total number of processors. Synchronization methods are described through so called signals that are then used as building blocks to compose synchronization solutions for the cases that synchronization times are expressed by polynomials with nonnegative coefficients.
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