Optimization and control problems in wireless ad hoc networks

Recent advances in technology have enabled the development of low cost, low power and multi functional computation devices. These devices networked through wireless bring the idea of mobile ad hoc networks and wireless sensor networks into reality. In this paper we discuss the optimization and control problems related to ad hoc networking topologies and communication. The shosrt description of wireless ad hoc and sensor networks is provided. The focus is on energy conserwation techniques and algorithms for computing the optimal transmitting ranges in order to generate a network with desired properties while reducing sensors energy consumption.