Approximation and online algorithms for multidimensional bin packing: A survey

HI Christensen, A Khan, S Pokutta, P Tetali - Computer Science Review, 2017‏ - Elsevier
The bin packing problem is a well-studied problem in combinatorial optimization. In the
classical bin packing problem, we are given a list of real numbers in (0, 1] and the goal is to …

[كتاب][B] Handbook of approximation algorithms and metaheuristics

TF Gonzalez - 2007‏ - taylorfrancis.com
Delineating the tremendous growth in this area, the Handbook of Approximation Algorithms
and Metaheuristics covers fundamental, theoretical topics as well as advanced, practical …

Online algorithms: a survey

S Albers - Mathematical Programming, 2003‏ - Springer
During the last 15 years online algorithms have received considerable research interest. In
this survey we give an introduction to the competitive analysis of online algorithms and …

On-line algorithms

S Albers, S Leonardi - ACM Computing Surveys (CSUR), 1999‏ - dl.acm.org
Over the past twelve years, online algorithms have received considerable research interest.
Online problems had been investigated already in the seventies and early eighties but an …

Measuring the problem-relevant information in input

S Dobrev, R Královič, D Pardubská - RAIRO-Theoretical Informatics …, 2009‏ - cambridge.org
We propose a new way of characterizing the complexity of online problems. Instead of
measuring the degradation of the output quality caused by the ignorance of the future we …

The relative worst order ratio for online algorithms

J Boyar, LM Favrholdt - ACM Transactions on Algorithms (TALG), 2007‏ - dl.acm.org
We define a new measure for the quality of online algorithms, the relative worst order ratio,
using ideas from the max/max ratio [Ben-David and Borodin 1994] and from the random …

The relative worst-order ratio applied to paging

J Boyar, LM Favrholdt, KS Larsen - Journal of Computer and System …, 2007‏ - Elsevier
The relative worst-order ratio, a relatively new measure for the quality of on-line algorithms,
is extended and applied to the paging problem. We obtain results significantly different from …

[PDF][PDF] Multidimensional bin packing and other related problems: A survey

HI Christensen, A Khan, S Pokutta, P Tetali - 2016‏ - tetali.math.gatech.edu
The bin packing problem is a well-studied problem in combinatorial optimization. In the
classical bin packing problem, we are given a list of real numbers in (0, 1] and the goal is to …

An online dynamic dual bin packing with lookahead approach for server-to-cell assignment in computer server industry

M Parvez, PJ Parikh, F Aqlan, M Noor-E-Alam - Computers & Industrial …, 2024‏ - Elsevier
Efficient production scheduling in computer server industry remains a critical challenge. This
challenge becomes particularly acute during the testing phase, where servers are assigned …

The accommodating function: A generalization of the competitive ratio

J Boyar, KS Larsen, MN Nielsen - SIAM Journal on Computing, 2001‏ - SIAM
A new measure, the accommodating function, for the quality of on-line algorithms is
presented. The accommodating function, which is a generalization of both the competitive …