# Analysis and Optimization of Sleeping Mode in WiMAX via Stochastic Decomposition Techniques

1 MAESTRO - Models for the performance analysis and the control of networks
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : The paper establishes a general approach for analyzing queueing models with repeated inhomogeneous vacations. The server goes on for a vacation if the inactivity prolongs more than the vacation trigger duration. Once the system enters in vacation mode, it may continue for several consecutive vacations, possibly with a {\em different} probability distribution. We study a simple $M/G/1$ queue, which has the advantage of being tractable analytically. The theoretical model is applied to the problem of power saving for mobile devices in which the sleep durations of a device correspond to the server vacations. Various system performance metrics such as the frame response time and the economy of energy are derived. A constrained optimization problem is formulated to maximize the economy of energy in power save mode with QoS constraints. An illustration of the proposed methods is shown with a WiMAX system scenario to obtain design parameters for better performance. Our analysis allows us not only to optimize the system parameters for a given traffic intensity but also to propose parameters that provide the best performance under worst case conditions.
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https://hal.inria.fr/hal-01445314
Contributor : Sara Alouf <>
Submitted on : Tuesday, January 24, 2017 - 5:07:52 PM
Last modification on : Saturday, January 27, 2018 - 1:31:42 AM
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### Citation

Amar Prakash Azad, Sara Alouf, Eitan Altman. Analysis and Optimization of Sleeping Mode in WiMAX via Stochastic Decomposition Techniques. IEEE Journal on Selected Areas in Communications, Institute of Electrical and Electronics Engineers, 2011, 29 (8), pp.1630 - 1640. ⟨10.1109/JSAC.2011.110912⟩. ⟨hal-01445314⟩

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