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 …

Tight approximation algorithms for geometric bin packing with skewed items

A Khan, E Sharma - Algorithmica, 2023 - Springer
Abstract In Two-dimensional Bin Packing (2BP), we are given n rectangles as input and our
goal is to find an axis-aligned nonoverlap** packing of these rectangles into the minimum …

Geometry meets vectors: Approximation algorithms for multidimensional packing

A Khan, E Sharma, KVN Sreenivas - arxiv preprint arxiv:2106.13951, 2021 - arxiv.org
We study the generalized multidimensional bin packing problem (GVBP) that generalizes
both geometric packing and vector packing. Here, we are given $ n $ rectangular items …

Look before, before you leap: Online vector load balancing with few reassignments

V Gupta, R Krishnaswamy, S Sandeep… - 14th Innovations in …, 2023 - drops.dagstuhl.de
In this paper we study two fully-dynamic multi-dimensional vector load balancing problems
with recourse. The adversary presents a stream of n job insertions and deletions, where …

[PDF][PDF] An asymptotic (4/3+ epsilon)-approximation for the 2-dimensional vector bin packing problem

A Kulik, M Mnich, H Shachnai - arxiv preprint arxiv:2205.12828, 2022 - tore.tuhh.de
Abstract We study the 22-Dimensional Vector Bin Packing Problem (2VBP), a generalization
of classic Bin Packing that is widely applicable in resource allocation and scheduling. In …