-Wireless sensor networks (WSNs) have recently received a great deal of research attention due to their wide range of potential applications. in many different fields. Many important characteristics are provided by the WSNs and the sensors that make them different from other wireless ad-hoc networks, and very promising in a wide range of applications. On the other hand, these characteristics are imposed lots of limitations on the WSNs that would lead to several challenges in the network. These challenges might include coverage, topology control, routing, data fusion, security, and many others. One of the main research challenges faced in wireless sensor networks is to preserve continuously and effectively the coverage of an area of interest to be monitored, while simultaneously preventing as much as possible a network failure due to battery-depleted nodes.
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-In this dissertation, we highly focus on the area coverage problem, energy-efficiency is also the foremost requirement. We have considered a distributed optimization protocols with the ultimate objective of prolonging the network lifetime. The proposed distributed optimization protocols ( including algorithms, models, and solving integer programs) should be energy-efficient protocols. To address
+%Wireless sensor networks (WSNs) have recently received a great deal of research attention due to their wide range of potential applications. Many important characteristics provided by the WSNs make them different from other wireless ad-hoc networks. Furthermore, these characteristics impose lots of limitations that lead to several challenges in the network. These challenges include coverage, topology control, routing, data fusion, security, and many others. One of the main research challenges faced in wireless sensor networks is to preserve continuously and effectively the coverage of an area of interest to be monitored, while simultaneously preventing as much as possible a network failure due to battery-depleted nodes.
+In this dissertation, we highly focus on the area coverage problem, energy-efficiency is also the foremost requirement. We have considered distributed optimization protocols with the ultimate objective of prolonging the network lifetime. The proposed distributed optimization protocols (including algorithms, models, and solving integer programs) should be energy-efficient protocols. To address