Paper Info
Title
A Collection Of Challenging Optimization Problems In Science, Engineering And Economics
Abstract
Function optimization and finding simultaneous solutions of a system of nonlinear equations (SNE) are two closely related and important optimization problems. However, unlike in the case of function optimization in which one is required to find the global minimum and sometimes local minima, a database of challenging SNEs where one is required to find stationary points (extrama and saddle points) is not readily available. In this article, we initiate building such a database of important SNE (which also includes related function optimization problems), arising from Science, Engineering and Economics. After providing a short review of the most commonly used mathematical and computational approaches to find solutions of such systems, we provide a preliminary list of challenging problems by writing the Mathematical formulation down, briefly explaning the origin and importance of the problem and giving a short account on the currently known results, for each of the problems. We anticipate that this database will not only help benchmarking novel numerical methods for solving SNEs and function optimization problems but also will help advancing the corresponding research areas.
Year
DOI
Venue
2015
10.1109/CEC.2015.7257223
2015 IEEE CONGRESS ON EVOLUTIONARY COMPUTATION (CEC)
Field
DocType
Volume
Mathematical optimization,Global optimization,Computer science,L-reduction,Maxima and minima,Stationary point,Stochastic programming,Engineering optimization,Optimization problem,Benchmarking
Journal
abs/1504.02366
Citations 
PageRank 
References 
2
0.64
17
Authors
2
Name
Order
Citations
PageRank
Dhagash Mehta1158.26
Crina Grosan220.64