The mathematical form of many optimization problems in engineering is constrained problems. In this paper, an improved genetic algorithm based on two-direction crossover and grouped mutation proposed to solve addition making full use the direction information parent individual, adds additional search finally searches better two directions, which improves efficiency. divides population into grou...

Multiobjective optimization is increasingly used in engineering to design new systems and identify tradeoffs. Yet, problems often have objective functions constraints that are expensive highly nonlinear. Combinations of these features lead poor convergence diversity loss with common algorithms not been specifically designed for constrained optimization. Constrained benchmark exist, but they do ...