Approximation Schemes for Minimizing Average Weighted Completion Time with Release Dates

  • Authors:
  • Foto Afrati;Evripidis Bampis;Chandra Chekuri;David Karger;Claire Kenyon;Sanjeev Khanna;Ioannis Milis;Maurice Queyranne;Martin Skutella;Cliff Stein;Maxim Sviridenko

  • Affiliations:
  • -;-;-;-;-;-;-;-;-;-;-

  • Venue:
  • FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
  • Year:
  • 1999

Quantified Score

Hi-index 0.01

Visualization

Abstract

We consider the problem of scheduling n jobs with release dates on m machines so as to minimize their average weighted completion time. We present the first known polynomial time approximation schemes for several variants of this problem. Our results include PTASs for the case of identical parallel machines and a constant number of unrelated machines with and without preemption allowed. Our schemes are efficient: for all variants the running time for a \math approximation is of the form \math poly(n).