An Interdisciplinary Journal

* 2009, Vol.12, No.3, pp.211-231*

Integrated product development requires that decomposition and integration
schemes be congruent and in harmony with each other. This harmony marks a
product development project with success. In domain of problem solving one
needs to resort to simulation based techniques to gain insight into problem
structure, its underlying couplings and complexity. The core idea, however,
is around the fact that by using an arbitrary complexity measure that
satisfies primary criteria of representing the complexity of a graph,
general and useful results may be concluded with regard to problem
classification. Here, we refer to the problem structure as the self map of
the system. Usually for large scale problems the self needs to be decomposed
for tractability purposes the structure of the problem after decomposition
is the real structure to be dealt with. We refer to complexity of the
system/problem before decomposition as self complexity and complexity of
system after decomposition as real complexity. It is reasoned that
regardless of type of complexity measure, the real complexity cannot be less
than the self complexity. Furthermore, it is noted that emergence laws of
weak emergence and strong emergence can be explained by using a justified
complexity measure. This would have important implications in problem
classification and choosing the right design process that is in congruence
with complexity of the problem.

*Key words: *
complexity, emergence, decomposition, spectral
partitioning, chaos, multi agent system

Full text: Acrobat PDF (1224KB)

Copyright © Nonlinear Phenomena in Complex Systems.
Last updated: *November 10, 2009*