School Seminars and Colloquia

On Efficient Management of Complex Systems

ORSUM Seminar

by Victor Korotkikh and Galina Korotkikh

Institution: Central Queensland University
Date: Mon 16th April 2007
Time: 1:00 PM
Location: Room 213, Richard Berry Building, The University of Melbourne

Abstract: Complex systems profoundly change human activities of the day. However,it is still unknown how to deal with complex systems efficiently without confronting NP-hard problems. Existing concepts of complexity are very important on many occasions, but they do not explain how the performance of a system is dependent on its complexity and whether efficient
management of complex systems may be possible at all.
In the talk we present a concept of complexity based on self-organization processes of prime integer relations, called the structural complexity
[1]. By computational experiments we investigate whether the performance of
an optimisation algorithm for a NP-hard problem could behave as a concave function of the algorithm's structural complexity
[2]. The results of the
experiments offer the possibility of a general optimality condition of complex systems: a complex system demonstrates the optimal performance for a problem, if the structural complexity of the system is in a certain relationship with the structural complexity of the problem.

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