In wireless sensor networks, density control is an important technique for prolonging a network’s lifetime. To reduce the overall energy consumption, it is desirable to minimize the overlapping sensing area of the sensor nodes. In this paper, we study the problem of energy-efficient area coverage by the regular placement of sensors with adjustable sensing and communication ranges. We suggest a more accurate method to estimate efficiency than those currently used for coverage by sensors with adjustable ranges, and propose new density control models that considerably improve coverage using sensors with two sensing ranges. Calculations and extensive simulation show that the new models outperform existing ones in terms of various performance metrics.

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This paper is devoted to the construction of regular min-density plane coverings with ellipses of one, two and three types. This problem is relevant, for example, to power-efficient surface sensing by autonomous above-grade sensors. A similar problem, for which discs are used to cover a planar region, has been well studied. On the one hand, the use of ellipses generalizes a mathematical problem; on the other hand, it is necessary to solve these types of problems in real applications of wireless sensor networks. This paper both extends some previous results and offers new regular covers that use a small number of ellipses to cover each regular polygon; these covers are characterized by having minimal known density in their classes and give the new upper bounds for densities in these classes as well.

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