Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 199, Issue 1, Pages 223-230Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2007.09.049
Keywords
stochastic derivative; harmony search; discrete variable; combinatorial optimization; evolutionary algorithm; soft computing; meta-heuristics
Categories
Ask authors/readers for more resources
Calculus has widespread applications in science and engineering. Optimization is one of its major subjects, where a problem can be mathematically formulated and its optimal solution is determined by using derivatives. However, this calculus-based derivative technique can only be applied to real-valued or continuous-valued functions rather than discrete-valued functions while there are many situations where design variables contain not continuous values but discrete values by nature. In order to consider these realistic design situations, this study proposes a novel derivative for discrete design variables based on a harmony search algorithm. Detailed analysis shows how this new stochastic derivative works in the bench-mark function and fluid-transport network design. Hopefully this new derivative, as a fundamental technology, will be utilized in various science and engineering problems. (C) 2007 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available