Ebook: Noniterative Coordination in Multilevel Systems
- Tags: Optimization, Calculus of Variations and Optimal Control, Optimization, Systems Theory Control, Electrical Engineering
- Series: Nonconvex Optimization and Its Applications 34
- Year: 1999
- Publisher: Springer Netherlands
- Edition: 1
- Language: English
- pdf
Multilevel decision theory arises to resolve the contradiction between increasing requirements towards the process of design, synthesis, control and management of complex systems and the limitation of the power of technical, control, computer and other executive devices, which have to perform actions and to satisfy requirements in real time. This theory rises suggestions how to replace the centralised management of the system by hierarchical co-ordination of sub-processes. All sub-processes have lower dimensions, which support easier management and decision making. But the sub-processes are interconnected and they influence each other. Multilevel systems theory supports two main methodological tools: decomposition and co-ordination. Both have been developed, and implemented in practical applications concerning design, control and management of complex systems. In general, it is always beneficial to find the best or optimal solution in processes of system design, control and management. The real tendency towards the best (optimal) decision requires to present all activities in the form of a definition and then the solution of an appropriate optimization problem. Every optimization process needs the mathematical definition and solution of a well stated optimization problem. These problems belong to two classes: static optimization and dynamic optimization. Static optimization problems are solved applying methods of mathematical programming: conditional and unconditional optimization. Dynamic optimization problems are solved by methods of variation calculus: Euler Lagrange method; maximum principle; dynamical programming.
This volume can be regarded as a logical extension of works in multilevel hierarchical system theory and multilevel optimization. It develops a new, `non-iterative', coordination strategy, which is generally relevant for on-line management of distributed and multilevel systems. This new coordination strategy extends the possibilities of the multilevel methodology from traditional off-line applications like systems design, planning, optimal problem solution, and off-line resources allocation to on-line processes like real time control, system management, on-line optimization and decision making. The main benefit of non-iterative coordination is the reduced information transfer between the hierarchical levels. Applications in transportation systems, data transmissions and optimal solution of nonconvex mathematical programming problems are given.
Audience: This book will be of interest to researchers, postgraduate students and specialists in systems optimization, operational researchers, system designers, management scientists, control engineers and mathematicians of the aspects of optimization.
This volume can be regarded as a logical extension of works in multilevel hierarchical system theory and multilevel optimization. It develops a new, `non-iterative', coordination strategy, which is generally relevant for on-line management of distributed and multilevel systems. This new coordination strategy extends the possibilities of the multilevel methodology from traditional off-line applications like systems design, planning, optimal problem solution, and off-line resources allocation to on-line processes like real time control, system management, on-line optimization and decision making. The main benefit of non-iterative coordination is the reduced information transfer between the hierarchical levels. Applications in transportation systems, data transmissions and optimal solution of nonconvex mathematical programming problems are given.
Audience: This book will be of interest to researchers, postgraduate students and specialists in systems optimization, operational researchers, system designers, management scientists, control engineers and mathematicians of the aspects of optimization.
Content:
Front Matter....Pages i-xiv
Hierarchical Systems and their Management....Pages 1-57
One-Step Coordination as a Tool for Real Time System Management....Pages 58-62
Noniterative Coordination with Linear — Quadratic Approximation....Pages 63-173
Noniterative Coordination Applying Rational Pade Functions....Pages 174-250
Back Matter....Pages 250-270
This volume can be regarded as a logical extension of works in multilevel hierarchical system theory and multilevel optimization. It develops a new, `non-iterative', coordination strategy, which is generally relevant for on-line management of distributed and multilevel systems. This new coordination strategy extends the possibilities of the multilevel methodology from traditional off-line applications like systems design, planning, optimal problem solution, and off-line resources allocation to on-line processes like real time control, system management, on-line optimization and decision making. The main benefit of non-iterative coordination is the reduced information transfer between the hierarchical levels. Applications in transportation systems, data transmissions and optimal solution of nonconvex mathematical programming problems are given.
Audience: This book will be of interest to researchers, postgraduate students and specialists in systems optimization, operational researchers, system designers, management scientists, control engineers and mathematicians of the aspects of optimization.
Content:
Front Matter....Pages i-xiv
Hierarchical Systems and their Management....Pages 1-57
One-Step Coordination as a Tool for Real Time System Management....Pages 58-62
Noniterative Coordination with Linear — Quadratic Approximation....Pages 63-173
Noniterative Coordination Applying Rational Pade Functions....Pages 174-250
Back Matter....Pages 250-270
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