Title
The Deviation Constraint
Abstract
This paper introduces DEVIATION, a soft global constraint to obtain balanced solutions. A violation measure of the perfect balance can be defined as the Lp norm of the vector variables minus their mean. SPREAD constraints the sum of square deviations to the mean (5,7) i.e. the L2 norm. The L1 norm is considered here. Neither criterion subsumes the other but the design of a propagator for L1 is simpler. We also show that a propagator for DEVIATION runs in O(n) (with respect to the number of variables) against O(n2) for SPREAD.
Year
DOI
Venue
2007
10.1007/978-3-540-72397-4_19
CPAIOR
Keywords
Field
DocType
i.e.the l2norm,balanced solution,violation measure,square deviation,deviation constraint,soft global constraint,vector variable,perfect balance
Discrete mathematics,Propagator,Mathematics
Conference
Volume
ISSN
Citations 
4510
0302-9743
9
PageRank 
References 
Authors
0.66
2
4
Name
Order
Citations
PageRank
Pierre Schaus112724.63
Yves Deville2987110.84
Pierre Dupont338029.30
Jean-charles Régin4131296.59