Approximation algorithms for scheduling with class constraints

K Jansen, A Lassota, M Maack - … of the 32nd ACM Symposium on …, 2020 - dl.acm.org
Assigning jobs onto identical machines with the objective to minimize the maximal load is
one of the most basic problems in combinatorial optimization and has many practical …

Class constrained bin packing revisited

L Epstein, C Imreh, A Levin - Theoretical Computer Science, 2010 - Elsevier
We study the following variant of the bin packing problem. We are given a set of items,
where each item has a (non-negative) size and a color. We are also given an integer …

Approximation schemes for machine scheduling with resource (in-) dependent processing times

K Jansen, M Maack, M Rau - ACM Transactions on Algorithms (TALG), 2019 - dl.acm.org
We consider two related scheduling problems: single resource-constrained scheduling on
identical parallel machines and a generalization with resource-dependent processing times …

[HTML][HTML] Online bin packing with cardinality constraints resolved

J Balogh, J Békési, G Dósa, L Epstein… - Journal of Computer and …, 2020 - Elsevier
Bin packing with cardinality constraints is a basic bin packing problem. In the online version
with the parameter k≥ 2, items having sizes in (0, 1] associated with them are presented …

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 …

Bin packing with general cost structures

L Epstein, A Levin - Mathematical programming, 2012 - Springer
Following the work of Anily et al., we consider a variant of bin packing called bin packing
with general cost structures (GCBP) and design an asymptotic fully polynomial time …

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 …

[HTML][HTML] Bounds for online bin packing with cardinality constraints

J Békési, G Dósa, L Epstein - Information and Computation, 2016 - Elsevier
We study a bin packing problem in which a bin can contain at most k items of total size at
most 1, where k≥ 2 is a given parameter. Items are presented one by one in an online …

On the generalized bin packing problem

MM Baldi, M Bruglieri - International Transactions in …, 2017 - Wiley Online Library
The generalized bin packing problem (GBPP) is a novel packing problem arising in many
transportation and logistic settings, characterized by multiple items and bins attributes and …

Improved approximations for vector bin packing via iterative randomized rounding

A Kulik, M Mnich, H Shachnai - 2023 IEEE 64th Annual …, 2023 - ieeexplore.ieee.org
We study the d-DIMENSIONAL VECTOR BIN PACKING (dVBP) problem, a generalization of
BIN PACKING with central applications in resource allocation and scheduling. In dVBP, we …