Abstract : This paper proposes a Discrete Time Markov Decision Process (MDP) approach to compute the optimal on-line speed scaling policy to minimize the energy consumption of a single processor executing a finite or infinite set of jobs with real-time constraints. We provide several qualitative properties of the optimal policy: monotonicity with respect to the jobs parameters, comparison with on-line deterministic algorithms. Numerical experiments in several scenarios show that our proposition performs well when compared with off-line optimal solutions and out-performs on-line solutions oblivious to statistical information on the jobs.
Bruno Gaujal, Alain Girault, Stéphan Plassart. A Discrete Time Markov Decision Process for Energy Minimization Under Deadline Constraints. [Research Report] RR-9309, Grenoble Alpes; Inria Grenoble Rhône-Alpes, Université de Grenoble. 2019, pp.46. ⟨hal-02391948⟩