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A unified framework for designing EPTAS’s for load balancing on parallel machines

Ishai Kones, Asaf Levin

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We consider a general load balancing problem on parallel machines. Our machine environment in particular generalizes the standard models of identical machines, and the model of uniformly related machines, as well as machines with a constant number of types, and machines with activation costs. The objective functions that we consider contain in particular the makespan objective and the minimization of the ℓp-norm of the vector of loads of the machines, and each case allow the possibility of job rejection. We consider this general model and design an efficient polynomial time approximation scheme (EPTAS) that applies for all its previously-studied special cases. This EPTAS improves the current best approximation scheme for some of these cases where only a polynomial time approximation scheme (PTAS) was known into an EPTAS.

Original languageEnglish
Title of host publicationSailing Routes in the World of Computation - 14th Conference on Computability in Europe, CiE 2018, Proceedings
EditorsRussell G. Miller, Florin Manea, Dirk Nowotka
Pages224-233
Number of pages10
DOIs
StatePublished - 2018
Event14th Conference on Computability in Europe, CiE 2018 - Kiel, Germany
Duration: 30 Jul 20183 Aug 2018

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10936 LNCS

Conference

Conference14th Conference on Computability in Europe, CiE 2018
Country/TerritoryGermany
CityKiel
Period30/07/183/08/18

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • General Computer Science

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