An Adaptive Genetic Algorithm for Solving Ill-Conditioned Linear Equation Group

2012 ◽  
pp. 307-312
Author(s):  
Pengfei Li ◽  
Xifeng Tong
Keyword(s):  
Genetic Algorithm ◽  
Linear Equation ◽  
Adaptive Genetic Algorithm ◽  
Equation Group

Approach for Solving Nonlinear Equation Group Based on Adaptive Genetic Algorithm

2012 ◽  
Vol 532-533 ◽  
pp. 1636-1639
Author(s):  
Hong Lian Shen ◽  
Feng Lin Cheng ◽  
Huan Ru Ren
Keyword(s):  
Genetic Algorithm ◽  
Nonlinear Equation ◽  
Accurate Solution ◽  
Initial Solution ◽  
Function Optimization ◽  
Adaptive Genetic Algorithm ◽  
Time Efficiency ◽  
Marquardt Algorithm ◽  
Levenberg Marquardt ◽  
Equation Group

A numeric method of solving nonlinear equation group is proposed. The problem of solving nonlinear equation group is equivalently changed to the problem of function optimization, and then a solution is obtained by adaptive genetic algorithm, considering it as the initial solution of Levenberg-Marquardt algorithm, a more accurate solution can be obtained, as a result, time efficiency is improved.

Multi-Objective Fleet Assignment Problem Based on Self-Adaptive Genetic Algorithm

2013 ◽  
Vol 694-697 ◽  
pp. 2895-2900 ◽  
Author(s):  
Xiao Yang ◽  
Bo Jiang
Keyword(s):  
Genetic Algorithm ◽  
Carbon Emissions ◽  
Assignment Problem ◽  
Network Capacity ◽  
Total Carbon ◽  
Adaptive Genetic Algorithm ◽  
Multi Objective ◽  
Route Network ◽  
Assignment Model ◽  
Key Factor

Since the beginning of the twenty-first century, energy conservation has become the theme of the development of the world. China government set the emissions-reduction targets in various industries on the 12th Five-Year Plan. And the airlines were committed to reduce their carbon emissions. From an operational perspective, the airline model assignment problem is a key factor of the total carbon emissions on the entire route network. But the traditional aircraft assignment models approach did not account for this purpose to reduce carbon emissions. By constructing the multi-objective optimization models consider carbon emissions assignment model using a genetic algorithm, numerical example shows that the model is able to meet all aspects demand which include meeting route network capacity demand, minimizing operating costs and reducing total aircraft fleet carbon emissions.

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