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...
Abstract. We consider the train delivery problem which is a generalization of the bin packing problem and is equivalent to a one dimensional version of the vehicle routing problem ...
Abstract. We study two-stage, finite-scenario stochastic versions of several combinatorial optimization problems, and provide nearly tight approximation algorithms for them. Our pr...
In this paper we consider both the maximization variant Max Rep and the minimization variant Min Rep of the famous Label Cover problem, for which, till now, the best approximation ...
Moses Charikar, MohammadTaghi Hajiaghayi, Howard J...
A well studied special case of bin packing is the 3-partition problem, where n items of size > 1 4 have to be packed in a minimum number of bins of capacity one. The famous Kar...