English, Article edition: SEMI-ON-LINE SCHEDULING PROBLEM FOR MAXIMIZING THE MINIMUM MACHINE COMPLETION TIME ON THREE SPECIAL UNIFORM MACHINES RUN-ZI LUO; SHI-JIE SUN

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Bookmark: http://trove.nla.gov.au/version/131529
Physical Description
  • article
Language
  • English

Edition details

Title
  • SEMI-ON-LINE SCHEDULING PROBLEM FOR MAXIMIZING THE MINIMUM MACHINE COMPLETION TIME ON THREE SPECIAL UNIFORM MACHINES
Author
  • RUN-ZI LUO
  • SHI-JIE SUN
Physical Description
  • article
Notes
  • In this paper, we investigate a semi-on-line version for a special case of three machines M1, M2, M3 where the processing time of the largest job is known in advance. A speed si(s1 =​ s2 =​ 1, 1 ⤠s3 =​ s) is associated with machine Mi. Our goal is to maximize the Cmin â the minimum workload of three machines. We give a Cmin3 algorithm and prove its competitive ratio is $\max\!\big\{2,\frac{3s+2}{2+s}\big\}$ and the algorithm is the best possible for 1 ⤠s ⤠2. We also claim the competitive ratio of algorithm Cmin3 is tight.
  • Scheduling, semi-on-line, competitive ratio
  • RePEc:wsi:apjorx:v:22:y:2005:i:02:p:229-237
Language
  • English
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