Sleep with Guilt and Work Faster to Minimize Flow Plus Energy

In this paper we extend the study of flow-energy scheduling to a model that allows both sleep management and speed scaling. Our main result is a sleep management algorithm called IdleLonger, which works online for a processor with one or multiple levels of sleep states. The design of IdleLonger is interesting; among others, it may force the processor to idle or even sleep even though new jobs have already arrived. IdleLonger works in both clairvoyant and non-clairvoyant settings. We show how to adapt two existing speed scaling algorithms AJC [15] (clairvoyant) and LAPS [9] (non-clairvoyant) to the new model. The adapted algorithms, when coupled with IdleLonger, are shown to be O(1)-competitive clairvoyant and non-clairvoyant algorithms for minimizing flow plus energy on a processor that allows sleep management and speed scaling. The above results are based on the traditional model with no limit on processor speed. If the processor has a maximum speed, the problem becomes more difficult...

• Type: Conference
• Year: 2009
• Where: ICALP
• Authors: Tak Wah Lam, Lap-Kei Lee, Hing-Fung Ting, Isaac Kar-Keung To, Prudence W. H. Wong
• Keywords: ICALP 2009, Processor Speed, Speed Model, Speed Scaling Algorithms, Theoretical Computer Science