Heavy-tailed limits for medium size jobs and comparison scheduling
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DOI: 10.1007/s10479-008-0432-0
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- Misja Nuyens & Adam Wierman & Bert Zwart, 2008. "Preventing Large Sojourn Times Using SMART Scheduling," Operations Research, INFORMS, vol. 56(1), pages 88-101, February.
- Linus E. Schrage & Louis W. Miller, 1966. "The Queue M / G /1 with the Shortest Remaining Processing Time Discipline," Operations Research, INFORMS, vol. 14(4), pages 670-684, August.
- Linus Schrage, 1968. "Letter to the Editor—A Proof of the Optimality of the Shortest Remaining Processing Time Discipline," Operations Research, INFORMS, vol. 16(3), pages 687-690, June.
- P. Jelenković & P. Momčilović, 2003. "Large Deviation Analysis of Subexponential Waiting Times in a Processor-Sharing Queue," Mathematics of Operations Research, INFORMS, vol. 28(3), pages 587-608, August.
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Keywords
Comparison scheduling; Scalability; Fairness; Adaptive thresholds; M/G/1 queue; Processor sharing; Shortest remaining processing time first; Foreground background processor sharing; Asymptotic analysis; Heavy tails; Medium size jobs;All these keywords.
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