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Mathematical Problems in Engineering
Volume 2014, Article ID 410363, 7 pages
http://dx.doi.org/10.1155/2014/410363
Research Article

Optimal Placement of Actors in WSANs Based on Imposed Delay Constraints

1Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, China
2Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
3Faculty of Land Resource Engineering, Kunming University of Science and Technology, Kunming 650500, China

Received 20 November 2013; Accepted 2 February 2014; Published 23 March 2014

Academic Editor: Huaicheng Yan

Copyright © 2014 Chunxi Yang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Wireless Sensor and Actor Networks (WSANs) refer to a group of sensors and actors linked by wireless medium to probe environment and perform specific actions. Such certain actions should always be taken before a deadline when an event of interest is detected. In order to provide such services, the whole monitor area is divided into several virtual areas and nodes in the same area form a cluster. Clustering of the WSANs is often pursued to give that each actor acts as a cluster-head. The number of actors is related to the size and the deployment of WSANs cluster. In this paper, we find a method to determine the accurate number of actors which enables them to receive data and take actions in an imposed time-delay. The -MinTE and the -MaxTE clustering algorithm are proposed to form the minimum and maximum size of cluster, respectively. In those clustering algorithms, actors are deployed in such a way that sensors could route data to actors within hops. Then, clusters are arranged by the regular hexagon. At last, we evaluate the placement of actors and results show that our approach is effective.