Conference Paper

Optimal sampling for state change detection with application to the control of sleep mode

Maestro Group, INRIA, Sophia Antipolis, France
DOI: 10.1109/CDC.2009.5400669 Conference: Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Source: IEEE Xplore

ABSTRACT This work considers systems with inactivity periods of unknown duration. We study the question of scheduling ¿waking up¿ instants in which a server can check whether the inactivity period is over. There is a cost proportional to the delay from the moment the inactivity period ends until the server discovers it, a (small) running cost while the server is away and also a cost for waking up. As an application to the problem, we consider the energy management in WiMax where inactive mobiles reduce their energy consumption by entering a sleep mode. Various standards exist which impose specific waking-up scheduling policies at wireless devices. We check these and identify optimal policies under various statistical assumptions. We show that periodic fixed vacation durations are optimal and derive the optimal period. We show that this structure does not hold for other inactivity distributions but manage to obtain some suboptimal solutions which perform strictly better than the periodic ones. We finally obtain structural properties for optimal policies for the case of arbitrary distribution of inactivity periods.

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    ABSTRACT: We consider the sleep mode algorithm of IEEE 802.16e mobile networks where a mobile station may switch off the transceiver and go into sleep mode in order to save power. Depending on the underlying application, different algorithms are defined in the standard. In practice, a hybrid combination of the sleep mode algorithms will be used in a mobile. In this paper, we build a novel performance model that captures the behavior of a single sleep mode algorithm. Moreover, we provide an accurate approximation for the hybrid case. Finally, the model is used to select the standard-compliant sleep window strategy which satisfies a given (approximative) delay constraint and minimizes the energy usage.
    Global Telecommunications Conference, 2009. GLOBECOM 2009. IEEE; 01/2010

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