# 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 â¤ 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 â¤ s â¤ 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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