A new and improved algorithm for online bin packing

J Balogh, J Békési, G Dósa, L Epstein… - arXiv preprint arXiv …, 2017 - arxiv.org
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 total sizes …

Online scheduling with bounded migration

P Sanders, N Sivadasan… - … of Operations Research, 2009 - pubsonline.informs.org
Consider the classical online scheduling problem, in which jobs that arrive one by one are
assigned to identical parallel machines with the objective of minimizing the makespan. We …

Fully dynamic bin packing revisited

S Berndt, K Jansen, KM Klein - Mathematical Programming, 2020 - Springer
We consider the fully dynamic bin packing problem, where items arrive and depart in an
online fashion and repacking of previously packed items is allowed. The goal is, of course …

Fully-dynamic bin packing with little repacking

B Feldkord, M Feldotto, A Gupta… - 45th International …, 2018 - drops.dagstuhl.de
We study the classic bin packing problem in a fully-dynamic setting, where new items can
arrive and old items may depart. We want algorithms with low asymptotic competitive ratio …

Robust polynomial-time approximation schemes for parallel machine scheduling with job arrivals and departures

M Skutella, J Verschae - Mathematics of Operations …, 2016 - pubsonline.informs.org
Scheduling a set of n jobs on m identical parallel machines so as to minimize the makespan
or maximize the minimum machine load are two of the most important and fundamental …

Robust algorithms for preemptive scheduling

L Epstein, A Levin - Algorithmica, 2014 - Springer
Preemptive scheduling problems on parallel machines are classic problems. Given the goal
of minimizing the makespan, they are polynomially solvable even for the most general …

Tighter bounds for the harmonic bin packing algorithm

L Epstein - European Journal of Operational Research, 2024 - Elsevier
The harmonic algorithm, defined for online bin packing, partitions items into a fixed number
M of classes of similar items, and packs each class independently and greedily in constant …

Robust approximation schemes for cube packing

L Epstein, A Levin - SIAM Journal on Optimization, 2013 - SIAM
Square bin packing, where square items are to be packed into a minimum number of unit
size squares, and its multidimensional generalization, cube packing, where d-dimensional …

Symmetry exploitation for online machine covering with bounded migration

W Gálvez, JA Soto, J Verschae - ACM Transactions on Algorithms …, 2020 - dl.acm.org
Online models that allow recourse can be highly effective in situations where classical
online models are too pessimistic. One such problem is the online machine covering …

The Power of Migrations in Dynamic Bin Packing

K Mellou, M Molinaro, R Zhou - … of the ACM on Measurement and …, 2024 - dl.acm.org
In the Dynamic Bin Packing problem, n items arrive and depart the system in an online
manner, and the goal is to maintain a good packing throughout. We consider the objective of …