Probabilistic analysis of algorithms for dual bin packing problems
Journal of Algorithms , Volume 12 - Issue 2 p. 189- 203
In the dual bin packing problem, the objective is to assign items of given size to the largest possible number of bins, subject to the constraint that the total size of the items assigned to any bin is at least equal to 1. We carry out a probabilistic analysis of this problem under the assumption that the items are drawn independently from the uniform distribution on [0, 1] and reveal the connection between this problem and the classical bin packing problem as well as to renewal theory.
|Journal of Algorithms|
|Organisation||Erasmus School of Economics|
Csirik, J, Frenk, J.B.G, Galambos, G, & Rinnooy Kan, A.H.G. (1991). Probabilistic analysis of algorithms for dual bin packing problems. Journal of Algorithms, 12(2), 189–203. doi:10.1016/0196-6774(91)90001-F