The biogeography-based optimization (BBO) is a new swarm intelligence algorithm. To improve the global searching ability
solve the prematurity of BBO
a heuristic mutation operator is designed
which based on the differential information among the population individuals. It makes up the lack of the heuristic information on Gauss
Cauchy mutation operators. And the nonlinear migration model was introduced to the BBO considering to the natural environment. Tests are carried out through four standard test functions on the standard BBO
GMBBO
CMBBO and HMBBO independently
the results shows that HMBBO has a preferable convergence rate and search accuracy. The application of gasoline blending scheduling shows that HMBBO is effective.