Power-saving scheduling for weakly dynamic voltage scaling devices

  • Authors:
  • Jian-Jia Chen;Tei-Wei Kuo;Hsueh-I Lu

  • Affiliations:
  • Department of Computer Science and Information Engineering, National Taiwan University, Taiwan, Republic of China;Department of Computer Science and Information Engineering, Graduate Institute of Networking and Multimedia, National Taiwan University, Taiwan, Republic of China;Department of Computer Science and Information Engineering, Graduate Institute of Networking and Multimedia, National Taiwan University, Taiwan, Republic of China

  • Venue:
  • WADS'05 Proceedings of the 9th international conference on Algorithms and Data Structures
  • Year:
  • 2005

Quantified Score

Hi-index 0.00

Visualization

Abstract

We study the problem of non-preemptive scheduling to minimize energy consumption for devices that allow dynamic voltage scaling. Specifically, consider a device that can process jobs in a non-preemptive manner. The input consists of (i) the set R of available speeds of the device, (ii) a set J of jobs, and (iii) a precedence constraint Π among J. Each job j in J, defined by its arrival time aj, deadline dj, and amount of computation cj, is supposed to be processed by the device at a speed in R. Under the assumption that a higher speed means higher energy consumption, the power-saving scheduling problem is to compute a feasible schedule with speed assignment for the jobs in J such that the required energy consumption is minimized. This paper focuses on the setting of weakly dynamic voltage scaling, i.e., speed change is not allowed in the middle of processing a job. To demonstrate that this restriction on many portable power-aware devices introduces hardness to the power-saving scheduling problem, we prove that the problem is NP-hard even if aj = aj ′ and dj = dj ′ hold for all j,j ′∈ Jand |R|=2. If |R|j,j ′ ∈ J, aj ≤ aj ′ implies dj ≤ dj ′. To the best of our knowledge, there is no previously known approximation algorithm for any special case of the NP-hard problem.