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On the Role of Nonlocal Correlations in Optimization

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Optimization and Industry: New Frontiers

Part of the book series: Applied Optimization ((APOP,volume 78))

Abstract

Recent developments in quantum information processing provide new insights that fundamental problems of complex systems and optimization may be related. In this context we consider the nonlocal correlations between the parts of a complex system as a main factor of the system to perform optimization. To realize this idea a general optimality condition within a theory based on irreducible notions is proposed.

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References

  1. C. Bennett, (1995), Quantum Information and Computation, in Physics Today, Vol. 48, No. 10, pp. 24–31.

    Article  Google Scholar 

  2. V. Korotkich, (1993), Integer Code Series: Applications in Dynamic Systems and Complexity, The Computing Center of Russian Academy of Sciences, Moscow.

    Google Scholar 

  3. V. Korotkich, (1999), A Mathematical Structure for Emergent Computation, Kluwer Academic Publishers, Dordrecht/Boston/London.

    MATH  Google Scholar 

  4. E. Witten, (1996), Reflections on the Fate of Spacetime, Physics Today, April, pp. 24–30.

    Google Scholar 

  5. R. Nadeau and M. Kafatos, (2001), The Non-local Universe, Oxford University Press, New York.

    Google Scholar 

  6. J. H. Holland, (1998), Emergence: From Chaos to Order, Perseus Books, Reading, Massachusetts.

    MATH  Google Scholar 

  7. V. Korotkich, (2002), On a General Framework to Study Cooperative Systems, in Cooperative Control and Optimization, R. Murphey and P. Pardalos (Eds.), Kluwer Academic Publishers, Dordrecht/Boston/London, pp. 121–142.

    Chapter  Google Scholar 

  8. G. Korotkikh, (2002), A Computational Approach in Dealing with Uncertainty in Financial Markets, PhD Thesis, Central Queensland University.

    Google Scholar 

  9. V. Korotkich, (2002), On Self-Organization of Cooperative Systems and Fuzzy Logic Fuzzy Logic: A Framework for the New Millennium, V. Dimitrov and V. Korotkich (Eds.), Springer-Verlag, Heidelberg/New York, pp. 147–167.

    Google Scholar 

  10. G. Reinelt, (2000),TSPLIB 1.2 [Online] Available from: URL ftp://ftp.wiwi.uni-frankfurt.de/pub/TSPLIB

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Author information

Authors and Affiliations

  1. Faculty of Informatics and Communication, Central Queensland University, Mackay, Queensland, 4740, Australia

    Galina Korotkikh & Victor Korotkikh

Authors
  1. Galina Korotkikh
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  2. Victor Korotkikh
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Editor information

Editors and Affiliations

  1. University of Florida, Gainesville, Florida, USA

    Panos M. Pardalos

  2. Central Queensland University, Mackay, Queensland, Australia

    Victor Korotkikh

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© 2003 Kluwer Academic Publishers

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Korotkikh, G., Korotkikh, V. (2003). On the Role of Nonlocal Correlations in Optimization. In: Pardalos, P.M., Korotkikh, V. (eds) Optimization and Industry: New Frontiers. Applied Optimization, vol 78. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0233-9_8

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  • DOI: https://doi.org/10.1007/978-1-4613-0233-9_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7953-9

  • Online ISBN: 978-1-4613-0233-9

  • eBook Packages: Springer Book Archive

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