Global Optimization of Nonconvex MINLP’s by Interval Analysis

1996 ◽  
pp. 175-193 ◽  
Author(s):  
Ragavan Vaidyanathan ◽  
Mahmoud El-Halwagi
Keyword(s):  
Global Optimization ◽  
Interval Analysis

A study on global optimization and deep neural network modeling method in performance-seeking control

2019 ◽  
Vol 234 (1) ◽  
pp. 46-59 ◽  
Author(s):  
Qiangang Zheng ◽  
Dawei Fu ◽  
Yong Wang ◽  
Haoying Chen ◽  
Haibo Zhang
Keyword(s):  
Neural Network ◽  
Genetic Algorithm ◽  
Global Optimization ◽  
Interval Analysis ◽  
Sequential Quadratic Programming ◽  
Deep Neural Network ◽  
Network Modeling ◽  
Engine Performance ◽  
Neural Network Modeling ◽  
Swarm Optimization

In this article, a novel performance-seeking control method based on deep neural network and interval analysis is proposed to obtain a better engine performance. A deep neural network modeling method which has stronger representation capability than conventional neural network and can deal with big training data is adopted to establish an on-board model in the subsonic and supersonic cruising envelops. Meanwhile, a global optimization algorithm interval analysis is applied here to get a better engine performance. Finally, two simulation experiments are conducted to verify the effectiveness of the proposed methods. One is the on-board model modeling which compares the deep neural network with the conventional neural network, and the other is the performance-seeking control simulations comparing interval analysis with feasible sequential quadratic programming, particle swarm optimization, and genetic algorithm, respectively. These two experiments show that the deep neural network has much higher precision than the conventional neural network and the interval analysis gets much better engine performance than feasible sequential quadratic programming, particle swarm optimization, and genetic algorithm.

Global Optimization Using Interval Analysis.

1994 ◽  
Vol 63 (207) ◽  
pp. 428
Author(s):  
Arnold Neumaier ◽  
Eldon Hansen
Keyword(s):  
Global Optimization ◽  
Interval Analysis

Global optimization of chemical processes using the interval analysis

1997 ◽  
Vol 14 (4) ◽  
pp. 270-276 ◽  
Author(s):  
Ju Ran Han ◽  
Vasilios Manousiouthakis ◽  
Soo Hyoung Choi
Keyword(s):  
Global Optimization ◽  
Interval Analysis ◽  
Chemical Processes

Interval Analysis on Directed Acyclic Graphs for Global Optimization

2005 ◽  
Vol 33 (4) ◽  
pp. 541-562 ◽  
Author(s):  
Hermann Schichl ◽  
Arnold Neumaier
Keyword(s):  
Global Optimization ◽  
Interval Analysis ◽  
Directed Acyclic Graphs ◽  
Acyclic Graphs
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