4 papers
A new lower bound for classic online bin packing
János Balogh, József Békési, György Dósa +2
We improve the lower bound on the asymptotic competitive ratio of any online algorithm for bin packing to above 1.54278. We demonstrate for the first time the advantage of branchin…
Lower bounds for several online variants of bin packing
János Balogh, József Békési, György Dósa +2
We consider several previously studied online variants of bin packing and prove new and improved lower bounds on the asymptotic competitive ratios for them. For that, we use a meth…
A new and improved algorithm for online bin packing
János Balogh, József Békési, György Dósa +2
We revisit the classic online bin packing problem. In this problem, items of positive sizes no larger than 1 are presented one by one to be packed into subsets called "bins" of tot…
Online Algorithms for a Generalized Parallel Machine Scheduling Problem
Istvan Szalkai, Gyorgy Dosa
We consider different online algorithms for a generalized scheduling problem for parallel machines, described in details in the first section. This problem is the generalization of…