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Analytical Model of a Wireless Sensor Network (WSN) Node Operation with a Modified Threshold-Type Energy Saving Mechanism

Faculty of Applied Mathematics, Silesian University of Technology, 23 Kaszubska Str., 44-100 Gliwice, Poland
Sensors 2019, 19(14), 3114; https://doi.org/10.3390/s19143114
Received: 29 April 2019 / Revised: 25 June 2019 / Accepted: 11 July 2019 / Published: 14 July 2019
(This article belongs to the Special Issue Energy Harvesting and Energy-Neutral IoT Devices and Systems)
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Abstract

In this article, a model of the operation of a wireless sensor network (WSN) node with an energy saving mechanism based on a threshold-controlled multiple vacation policy is considered. When the queue of packets directed to the node becomes empty, a multiple vacation period is started during which the receiving/transmitting of packets is blocked. In such a period, successive vacations of a fixed constant duration are taken until a predetermined number of N packets accumulated in the queue is detected. Then, at the completion epoch of this vacation, the processing restarts normally. The analytic approach is based on the conception of an embedded Markov chain; integral equations and renewal theory are applied to study the queue-size transient behaviour. The representations for the Laplace transforms of the queue-size distribution at an arbitrary fixed time t and on the idle and processing periods are obtained. The compact-form formulae for the distributions of the idle and processing period duration are derived. Numerical examples are attached as well. View Full-Text
Keywords: energy saving; multiple vacation policy; queue-size distribution; threshold policy; transient state energy saving; multiple vacation policy; queue-size distribution; threshold policy; transient state
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Kempa, W.M. Analytical Model of a Wireless Sensor Network (WSN) Node Operation with a Modified Threshold-Type Energy Saving Mechanism. Sensors 2019, 19, 3114.

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