Skip to main content

Ein paralleler Lösungansatz für nichtlineare Optimierungsprobleme

  • Conference paper
Parallele Datenverarbeitung mit dem Transputer

Part of the book series: Informatik-Fachberichte ((INFORMATIK,volume 272))

  • 50 Accesses

Zusammenfassung

Bei vielen praktischen Aufgabenstellungen, wie etwa im Rahmen des ingenieurtechnischen Entwurfs, oder bei der Behandlung von Steuerungs- und Planungsproblemem, entsteht die Notwendigkeit der Lösung nichtlinearer Optimierungsprobleme der Form:

$$ f({{x}_{1}}, \ldots {{x}_{n}}) \to \max ,\,mit\,{{g}_{i}}({{x}_{1}}, \ldots {{x}_{n}}) \leqslant 0;i\,aus\{ 1,..,m\} . $$

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literaturverzeichnis

  1. Bertsekas D.P.; Tsitsiklis J.N.: Parallel and Distributed Computation, Prentice Hall, 1989.

    MATH  Google Scholar 

  2. Boden, H.; Gehne, R.; Grauer, M.: “Parallel nonlinear optimization on a multiprocessor system with distributed memory”, in: Grauer, M. [ed.]: Parallel and distributed Optimization, Lecture Notes on Mathem. Systems and Economics, Springer Verlag, 1991.

    Google Scholar 

  3. Eiselt, H.A.; Pederzoli, G.; Sandblom, C.L.: Continuous Optimization Models. Walter de Gruyter, 1987.

    Google Scholar 

  4. Frommberger, M.: “PCL — a language for parallel problem solving on a network of Unix-workstations”, in: Grauer, M. [ed.]: Parallel and distributed Optimization, Lecture Notes on Mathem. Systems and Economics, Springer Verlag, 1991.

    Google Scholar 

  5. Grauer M., Albers St., Frommberger M.: “Concept and first experiences with an object-oriented interface for mathematical programming”, in: Impacts of recent Computer Advances on Operations Research. Elsevier, 1989

    Google Scholar 

  6. Perihelion Software Limited (Hrsg.): The Helios Operating System. Prentice Hall, 1989.

    Google Scholar 

  7. Lootsma F.A. Parallel non-linear optimization. Delft University of Technology, Reports of the Faculty of Technical Mathematics and Informatics no. 89–45.

    Google Scholar 

  8. Rao, S.S.: Optimization, theory and applications. Wiley Eastern Limited, 1979.

    MATH  Google Scholar 

  9. Schittkowski, K. Nonlinear Optimization Codes. Springer-Verlag, 1980.

    Google Scholar 

  10. Schnabel, R.B. “Parallel Computing in Optimization”, in: Schittkowski, K. (Hrsg.). Computational mathematical Programming. Springer-Verlag, 1985.

    Google Scholar 

  11. Schwefel, H.P.: Numerische Optimierung von Computer-Modellen mittels der Evolutionsstrategie. Birkhäuser, 1977.

    MATH  Google Scholar 

  12. Zenios, S.A.: Parallel numerical Optimization: Current status and an annotated bliography. ORSA Journal on Computing 1,1 (1985) 20–43.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Boden, H., Grauer, M. (1991). Ein paralleler Lösungansatz für nichtlineare Optimierungsprobleme. In: Grebe, R., Ziemann, C. (eds) Parallele Datenverarbeitung mit dem Transputer. Informatik-Fachberichte, vol 272. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76602-2_34

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-76602-2_34

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53976-6

  • Online ISBN: 978-3-642-76602-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics