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.
Highlights
The issue of energy saving in wireless sensor networks (WSNs) is crucial from the point of view of network security, including ensuring the reliability of its operation, and in securing an adequate level of data transmission quality
There are two different main approaches to solving the problem of energy saving in WSNs
In the article we study a model of the operation of a WSN node with an energy saving mechanism based on a threshold-controlled multiple vacation policy
Summary
The issue of energy saving in wireless sensor networks (WSNs) is crucial from the point of view of network security, including ensuring the reliability of its operation, and in securing an adequate level of data transmission quality. One of the important tools supporting these processes are the algorithms used for self-organization of sensor networks The purpose of this type of algorithm, after the initial organization of the network, is primarily to minimize the risk of data loss during transmission, which is associated with the organization of network node structures, and secondly to maximize the battery life of individual sensors (see e.g., [1,2,3]). In [12] (compare [13,14]) the queueing model of the M/M/1-type with a control mechanism based on the N-policy is proposed as a tool for reducing power consumption of nodes in wireless sensor networks. In the article we study a model of the operation of a WSN node with an energy saving mechanism based on a threshold-controlled multiple vacation policy.
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