Optimization of power consumption and user impact based on point process modeling of the request sequence

Jean-Baptiste Durand (1) , Stéphane Girard (1) , Victor Ciriza (2) , Laurent Donini (1, 2)

1 MISTIS - Modelling and Inference of Complex and Structured Stochastic Systems
2 Xerox Research Centre Europe [Meylan]

This article addresses the optimal choice of the waiting period (or timeout) that a device should respect before entering sleep mode, so as to optimize a tradeoff between power consumption and user impact. The optimal timeout is inferred by appropriate statistical modeling of the times between user requests. In a test approach, these times are supposed independent, and a constant optimal timeout is inferred accordingly. In a second approach, some dependency is introduced through a hidden Markov chain, which also models specific activity states, like business hours or night periods. This model leads to a statistical framework for computing adaptive optimal timeout values. Different strategies are assessed using real datasets, on the basis of the power consumption, user impact and the frequency of wrong decisions.

Keywords: Hidden Markov chain modelling; Optimal time out; Power management; Renewal processes; Statistical models for request processes

Domains: Statistics [math.ST]; Statistics Theory [stat.TH]

Jean-Baptiste Durand, Stéphane Girard, Victor Ciriza, Laurent Donini. Optimization of power consumption and user impact based on point process modeling of the request sequence. Journal of the Royal Statistical Society: Series C Applied Statistics, 2013, 62 (2), pp.151-165. ⟨10.1111/j.1467-9876.2012.01053.x⟩. ⟨hal-00412509v4⟩