Issue |
RAIRO-Theor. Inf. Appl.
Volume 40, Number 2, April-June 2006
Alberto Bertoni: Climbing summits
|
|
---|---|---|
Page(s) | 177 - 206 | |
DOI | https://doi.org/10.1051/ita:2006002 | |
Published online | 20 July 2006 |
Different time solutions for the firing squad synchronization problem on basic grid networks
1
Faculty of Informatics, Masaryk University, Brno, Czech Republic.
2
Facoltà di Scienze Matematiche, Fisiche e Naturali,
Università degli Studi di Salerno, Italia.
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 n2, nlogn, ,
2n, 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.
Mathematics Subject Classification: 68Q80 / 68Q10
© EDP Sciences, 2006
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