Abstract
For a GI/GI/1 queue, we show that the average sojourn time under the (blind) Randomized Multilevel Feedback algorithm is no worse than that under the Shortest Remaining Processing Time algorithm times a logarithmic function of the system load. Moreover, it is verified that this bound is tight in heavy traffic, up to a constant multiplicative factor. We obtain this result by combining techniques from two disparate areas: Competitive analysis and applied probability.
Original language | English |
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Pages (from-to) | 949-964 |
Number of pages | 16 |
Journal | Mathematics of Operations Research |
Volume | 43 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Aug 2018 |
Keywords
- Blind policies
- Competitive ratio
- GI/GI/1 queue
- Heavy traffic
- Randomized multilevel feedback
- Response time
- Shortest remaining processing time