Noniterative Coordination in Multilevel Systems

  • Todor Stoilov
  • Krassimira Stoilova

Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 34)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Todor Stoilov, Krassimira Stoilova
    Pages 1-57
  3. Todor Stoilov, Krassimira Stoilova
    Pages 58-62
  4. Todor Stoilov, Krassimira Stoilova
    Pages 63-173
  5. Todor Stoilov, Krassimira Stoilova
    Pages 174-250
  6. Back Matter
    Pages 250-270

About this book

Introduction

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.

Keywords

Approximation data transmission optimization programming system system design systems theory transmission

Authors and affiliations

  • Todor Stoilov
    • 1
  • Krassimira Stoilova
    • 1
  1. 1.Institute of Computer and Communication SystemsBulgarian Academy of SciencesSofiaBulgaria

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-0017-2
  • Copyright Information Springer Science+Business Media B.V. 1999
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-6495-8
  • Online ISBN 978-94-009-0017-2
  • Series Print ISSN 1571-568X
  • About this book
Industry Sectors
Engineering
Aerospace
Oil, Gas & Geosciences
Pharma