We prove that the First Fit bin packing algorithm is stable under the input distribution U{k - 2, k} for all k 3, settling an open question from the recent survey by Coffman, Gar...
In this paper we introduce a new general framework for set covering problems, based on the combination of randomized rounding of the (near-)optimal solution of the Linear Programm...
A novel evolutionary approach for the bin packing problem (BPP) is presented. A simple steady-state genetic algorithm is developed that produces results comparable to other approa...
ct The average case analysis of algorithms usually assumes independent, identical distributions for the inputs. In [?], Kenyon introduced the random-order ratio, a new average case...
This paper addresses the issue of computing the asymptotic worst-case of lower bounds for the Bin Packing Problem. We introduce a general result that allows to bound the asymptoti...
Teodor Gabriel Crainic, Guido Perboli, Miriam Pezz...