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Noniterative Coordination in Multilevel Systems (Paperback, Softcover reprint of the original 1st ed. 1999)
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Noniterative Coordination in Multilevel Systems (Paperback, Softcover reprint of the original 1st ed. 1999)
Series: Nonconvex Optimization and Its Applications, 34
Expected to ship within 10 - 15 working days
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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.
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