Abstract
This chapter focuses on geometric optimization problems including localization, routing, and boundary recognition. These topics are not new in networks. But wireless networks bring a lot of new ingredients and challenges to the problems. For example, because of the lack of central control unit, limited capabilities of sensors, limited transmission range, mobility features, etc., it is desirable to achieve the global tasks by utilizing local information in a distributed way. The focus is put on the main ideas of recent methods.
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Acknowledgements
This work is supported by National Natural Science Foundation of China (61222201) and Specialized Research Fund for the Doctoral Program of Higher Education (20126501110001). It is also supported by National Science Foundation of the USA under grants 1020 CNS0831579 and CCF0728851.
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Wu, W., Zhang, Z. (2013). Geometric Optimization in Wireless Networks. In: Pardalos, P., Du, DZ., Graham, R. (eds) Handbook of Combinatorial Optimization. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7997-1_41
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