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In this paper we consider a signal strength based location- aware network and evaluate how to optimize energy consumption while achieving a certain accuracy in the localization result. Obviously, the greater the accuracy, the greater energy will be consumed, and, although different strategies can yield similar localization accuracy, their energy efficiency can be different. The relationship between these parameters is evaluated and the optimum strategy is found with respect to the transmission power of the packets, the packet transmission rate, the signal to noise ratio at the receiver and the packet reception rate. From this analysis, some guidelines for the efficient management of energy for localization in an ad hoc or sensor network are extracted.