Design of an efficient load balancing algorithm using the symmetric balanced incomplete block design

2014 ◽  
Vol 278 ◽  
pp. 221-230 ◽  
Author(s):  
Manjusri Basu ◽  
Satya Bagchi ◽  
Debabrata Kumar Ghosh
Keyword(s):  
Load Balancing ◽  
Block Design ◽  
Incomplete Block ◽  
Balanced Incomplete Block Design ◽  
Incomplete Block Design ◽  
Balanced Incomplete Block ◽  
Load Balancing Algorithm

scholarly journals Resolvable (r, λ)-designs and the Fisher inequality

1979 ◽  
Vol 28 (4) ◽  
pp. 471-478 ◽  
Author(s):  
S. A. Vanstone
Keyword(s):  
Block Design ◽  
Incomplete Block ◽  
Balanced Incomplete Block Design ◽  
Incomplete Block Design ◽  
Pairwise Balanced Designs ◽  
Balanced Designs ◽  
Similar Inequality ◽  
Balanced Incomplete Block

AbstractIt is well known that in any (v, b, r, k, λ) resolvable balanced incomplete block design that b≧ ν + r − l with equality if and only if the design is affine resolvable. In this paper, we show that a similar inequality holds for resolvable regular pairwise balanced designs ((ρ, λ)-designs) and we characterize those designs for which equality holds. From this characterization, we deduce certain results about block intersections in (ρ, λ)-designs.

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