We study the problem of on-line scheduling on two uniform machines with speeds 1 and s\*1. A +1.61803 competitive deterministic algorithm was already known. We present the "rst randomized results for this problem: We show that randomization does not help for speeds s\*2, but does help for all s(2. W
Randomized on-line scheduling on three processors
✍ Scribed by Tomáš Tichý
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 202 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0167-6377
No coin nor oath required. For personal study only.
✦ Synopsis
We consider a randomized on-line scheduling problem where each job has to be scheduled on any of m identical processors. The objective is to minimize the expected makespan. We show that the competitive ratio of any randomized algorithm for m = 3 processors must be strictly greater than 27 19 .
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