Recently Geometric Programming has been applied to study a variety of problems in the analysis and design of communication systems from information theory and queuing theory to signal processing and network protocols. Geometric Programming for Communication Systems begins its comprehensive treatment of the subject by providing an in-depth tutorial on the theory, algorithms, and modeling methods of Geometric Programming. It then gives a systematic survey of the applications of Geometric Programming to the study of communication systems. It collects in one place various published results in this area, which are currently scattered in several books and many research papers, as well as to date unpublished results. Geometric Programming for Communication Systems is intended for researchers and students who wish to have a comprehensive starting point for understanding the theory and applications of geometric programming in communication systems.

With contributions by specialists in optimization and practitioners in the fields of aerospace engineering, chemical engineering, and fluid and solid mechanics, the major themes include an assessment of the state of the art in optimization algorithms as well as challenging applications in design and control, in the areas of process engineering and systems with partial differential equation models.

This book presents the integrated approach of analysis and optimal design of structures. This approach, which is more convenient than the so-called nested approach, has the difficulty of generating a large optimization problem. To overcome this problem a methodology of decomposition by multilevel is developed. This technique, which is also suitable for implementation on parallel processing computers, has the advantage of reducing the size of the optimization problem generated. The geometric programming for both equality and inequality constraints is used in the optimization.

The problems being attacked have to do with: (1) the optimal design and operation of mechanical and electrical devices, transportation networks, and hydraulic pipelines, (2) the optimal location of facilities, (3) the analysis and optimal design of structures, and (4) certain aspects of chemical equilibrium, regression analysis, and optimal control. Some of these problems have been modeled as 'geometric programming' problems. To obtain solutions to these and other geometric programming problems, methods that reduce the complexity of the total system have been (and continue to be) developed. These methods center around the ideas of 'decomposing' the total system into smaller subsystems and reducing the dimensionality of the overall system. Several papers based on these ideas have been accepted for publication and others are being prepared for publication. (Author).