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TCS
2010
8 years 10 months ago
Tight results for Next Fit and Worst Fit with resource augmentation
It is well known that the two simple algorithms for the classic bin packing problem, NF and WF both have an approximation ratio of 2. However, WF seems to be a more reasonable alg...
Joan Boyar, Leah Epstein, Asaf Levin
CP
2010
Springer
8 years 10 months ago
Propagating the Bin Packing Constraint Using Linear Programming
The state-of-the-art global constraint for bin packing is due to Shaw. We compare two linear continuous relaxations of the bin packing problem, based on the DP-flow and Arc-flow ...
Hadrien Cambazard, Barry O'Sullivan
SIAMJO
2008
175views more  SIAMJO 2008»
8 years 11 months ago
On Bin Packing with Conflicts
Abstract. We consider the offline and online versions of a bin packing problem called bin packing with conflicts. Given a set of items V = {1, 2, . . . , n} with sizes s1, s2 . . ....
Leah Epstein, Asaf Levin
MOR
2006
123views more  MOR 2006»
8 years 11 months ago
Bin Packing in Multiple Dimensions: Inapproximability Results and Approximation Schemes
We study the multidimensional generalization of the classical Bin Packing problem: Given a collection of d-dimensional rectangles of specified sizes, the goal is to pack them into ...
Nikhil Bansal, José R. Correa, Claire Kenyo...
IOR
2008
102views more  IOR 2008»
8 years 12 months ago
An Optimization Algorithm for the Ordered Open-End Bin-Packing Problem
The ordered open-end bin packing problem is a variant of the bin packing problem in which the items to be packed are sorted in a given order and the capacity of each bin can be ex...
Alberto Ceselli, Giovanni Righini
ESA
2008
Springer
148views Algorithms» more  ESA 2008»
9 years 1 months ago
Selfish Bin Packing
Following recent interest in the study of computer science problems in a game theoretic setting, we consider the well known bin packing problem where the items are controlled by se...
Leah Epstein, Elena Kleiman
COCOON
2006
Springer
9 years 3 months ago
The Class Constrained Bin Packing Problem with Applications to Video-on-Demand
In this paper we present approximation results for the class constrained bin packing problem that has applications to Video-on-Demand Systems. In this problem we are given bins of...
E. C. Xavier, Flávio Keidi Miyazawa
COCOON
2006
Springer
9 years 3 months ago
On Dynamic Bin Packing: An Improved Lower Bound and Resource Augmentation Analysis
We study the dynamic bin packing problem introduced by Coffman, Garey and Johnson. This problem is a generalization of the bin packing problem in which items may arrive and depart...
Wun-Tat Chan, Prudence W. H. Wong, Fencol C. C. Yu...
GECCO
2007
Springer
189views Optimization» more  GECCO 2007»
9 years 3 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
FCT
2007
Springer
9 years 3 months ago
Multi-dimensional Packing with Conflicts
We study the multi-dimensional version of the bin packing problem with conflicts. We are given a set of squares V = {1, 2, . . . , n} with sides s1, s2, . . . , sn [0, 1] and a co...
Leah Epstein, Asaf Levin, Rob van Stee
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