scholarly journals Leitmann’s direct method for fractional optimization problems

2010 ◽  
Vol 217 (3) ◽  
pp. 956-962 ◽  
Author(s):  
Ricardo Almeida ◽  
Delfim F.M. Torres
2018 ◽  
Vol 71 ◽  
pp. 1161-1175 ◽  
Author(s):  
Rizk M. Rizk-Allah ◽  
Aboul Ella Hassanien ◽  
Siddhartha Bhattacharyya

2001 ◽  
Vol 11 (06) ◽  
pp. 561-572 ◽  
Author(s):  
ROSELI A. FRANCELIN ROMERO ◽  
JANUSZ KACPRYZK ◽  
FERNANDO GOMIDE

An artificial neural network with a two-layer feedback topology and generalized recurrent neurons, for solving nonlinear discrete dynamic optimization problems, is developed. A direct method to assign the weights of neural networks is presented. The method is based on Bellmann's Optimality Principle and on the interchange of information which occurs during the synaptic chemical processing among neurons. The neural network based algorithm is an advantageous approach for dynamic programming due to the inherent parallelism of the neural networks; further it reduces the severity of computational problems that can occur in methods like conventional methods. Some illustrative application examples are presented to show how this approach works out including the shortest path and fuzzy decision making problems.


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