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Wireless Network Design: Optimization Models and Solution ...

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1 Introduction to <strong>Optimization</strong> in <strong>Wireless</strong> <strong>Network</strong>s 5<br />

protocols have been proposed that are solutions to optimization problems with different<br />

objective functions <strong>and</strong> constraints. For instance, a routing protocol might be<br />

optimized to minimize the overall energy consumption in the network. Chapter 9<br />

discusses in detail the routing <strong>and</strong> the associated quality of service provisioning<br />

problems in MANETs.<br />

Chapter 10 considers power optimization for a specific problem in ad-hoc networks.<br />

This chapter considers a broadcast/multicast scenario in which one transmit<br />

node desires to send its data to a collection of nodes. Several compact integer programs<br />

to solve problems of this flavor are addressed in Chapter 10. As noted before,<br />

in a MANET, node mobility can pose a significant challenge in ensuring a fully connected<br />

network at all times. Chapter 11 addresses the issue of maintaining network<br />

connectivity under mobility conditions. The main idea in Chapter 11 is the use of<br />

designated mobile nodes (called agents) which predict the movement of the other<br />

nodes (based on prior observations) <strong>and</strong> select their own path to ensure that the network<br />

remains fully connected. A particle swarm optimization is proposed to select<br />

the positions for the mobile agents at each time interval.<br />

With the growth in the size <strong>and</strong> complexity of the networks, analyzing their performance<br />

is a challenging task. Fortunately, the advances in semiconductor technology<br />

have made computing power <strong>and</strong> memory inexpensive <strong>and</strong> widely available.<br />

Simultaneous to this growth, novel tools <strong>and</strong> techniques for simulating networks<br />

have also been developed. Chapter 12 provides an overview of the major techniques<br />

used to design networks <strong>and</strong> analyze their performance using simulation methods.<br />

WiMAXWorldwide Interoperability for Microwave Access has emerged as a serious<br />

contender for providing ubiquitous broadb<strong>and</strong> services in both fixed wireless<br />

<strong>and</strong> mobile settings over a broad service area. Chapter 13 is focused on operational<br />

time optimization procedures used to improve the performance of WiMAX networks.<br />

These WiMAX networks are based on the OFDM concept <strong>and</strong> this chapter<br />

explores the optimization issues that arise specifically in that setting. The focus<br />

of the chapter is on optimizing the radio resource allocation <strong>and</strong> multiuser packet<br />

scheduling within the OFDM framework.<br />

One of the challenges of communicating over the wireless channel is the time<br />

varying nature of the channel. These time variations pose a serious challenge in<br />

ensuring that the desired quality of service is maintained without interruption. Simultaneously,<br />

the system must leverage these variations to improve the long term<br />

performance of the system. Channel aware scheduling has emerged as a key concept<br />

in achieving superior performance over a wireless channel. Chapter 14 provides a<br />

comprehensive overview of the main scheduling methods <strong>and</strong> their performance.<br />

The scheduling problem becomes even more relevant in a multiuser setting where<br />

the channels of the different users vary independently of each other. The scheduling<br />

framework should strike a balance between optimizing network performance (such<br />

as throughput) with the requirement for ensuring fair allocation of resources to the<br />

various users. Chapter 14 discusses several fairness metrics <strong>and</strong> how they can be<br />

incorporated as constraints in the scheduler optimization framework. Finally, we<br />

conclude this book with Chapter 15, which looks at the major trends in the field of

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