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Nested Active-Time Scheduling

  • Nairen Cao
  • , Jeremy T. Fineman
  • , Shi Li
  • , Julián Mestre
  • , Katina Russell
  • , Seeun William Umboh
  • Georgetown University
  • The University of Sydney

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

Abstract

The active-time scheduling problem considers the problem of scheduling preemptible jobs with windows (release times and deadlines) on a parallel machine that can schedule up to g jobs during each timestep. The goal in the active-time problem is to minimize the number of active steps, i.e., timesteps in which at least one job is scheduled. In this way, the active time models parallel scheduling when there is a fixed cost for turning the machine on at each discrete step. This paper presents a 9/5-approximation algorithm for a special case of the active-time scheduling problem in which job windows are laminar (nested). This result improves on the previous best 2-approximation for the general case.

Original languageEnglish
Title of host publication33rd International Symposium on Algorithms and Computation, ISAAC 2022
EditorsSang Won Bae, Heejin Park
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
ISBN (Electronic)9783959772587
DOIs
StatePublished - Dec 1 2022
Event33rd International Symposium on Algorithms and Computation, ISAAC 2022 - Virtual, Online, Korea, Republic of
Duration: Dec 19 2022Dec 21 2022

Publication series

NameLeibniz International Proceedings in Informatics, LIPIcs
Volume248
ISSN (Print)1868-8969

Conference

Conference33rd International Symposium on Algorithms and Computation, ISAAC 2022
Country/TerritoryKorea, Republic of
CityVirtual, Online
Period12/19/2212/21/22

Keywords

  • Active time
  • Approximation algorithm
  • Scheduling algorithms

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