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SODA
1998
ACM
159views Algorithms» more  SODA 1998»
13 years 8 months ago
Average-Case Analyses of First Fit and Random Fit Bin Packing
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...
Susanne Albers, Michael Mitzenmacher
FOCS
2006
IEEE
14 years 1 months ago
Improved approximation algorithms for multidimensional bin packing problems
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...
Nikhil Bansal, Alberto Caprara, Maxim Sviridenko
GECCO
2007
Springer
189views Optimization» more  GECCO 2007»
13 years 11 months ago
A genetic algorithm with exon shuffling crossover for hard bin packing problems
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...
Philipp Rohlfshagen, John A. Bullinaria
DAM
2008
81views more  DAM 2008»
13 years 7 months ago
Random-order bin packing
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...
Edward G. Coffman Jr., János Csirik, Lajos ...
EOR
2007
99views more  EOR 2007»
13 years 7 months ago
Computing the asymptotic worst-case of bin packing lower bounds
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...