Volume 22, No 4, 2015, P. 21-34

UDC 519.7
Erzin A. I., Shabelnikova N. A.
About density of a covering of a strip with identical sectors

We study the problem of constructing a regular covering of a strip of the least density with the identical sectors that arises in design of wireless sensor networks. Three coverage models are proposed and the comparative analysis was performed that allowed us to obtain, in particular, an upper bound on the minimum density of a covering of a strip with sectors.
Tab. 1, ill. 6, bibliogr. 21.

Keywords: regular coverage, minimization of density, sensor networks.

DOI: 10.17377/daio.2015.22.475

Adil I. Erzin 1,2
Natalia A. Shabelnikova 1

1. Sobolev Institute of Mathematics
4 Koptyug Ave., 630090 Novosibirsk, Russia
2. Novosibirsk State University
2 Pirogov St., 630090 Novosibirsk, Russia
e-mail: adilerzin@math.nsc.ru, kriagell@gmail.com

Received 12 February 2015
Revised 13 May 2015


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 © Sobolev Institute of Mathematics, 2015