An Improved Marriage in Honey Bees Optimization Algorithm for Single Objective Unconstrained Optimization

Algorithm 1

Original MBO algorithm [8].

Initialize workers

Randomly generate the queens

Apply local search to get a good queen

For a pre-defined maximum number of mating-flights

 For each queen in the queen list

   Initialize energy (𝐸), speed (𝑆), and position

   The queen moves between states

   And probabilistically chooses drones prob𝑓(𝑄,𝐷)=𝑒^{−(difference/speed)}

    If a drone is selected, then

     Add its sperm to the queen’s spermatheca

     𝑆(𝑡+1)=𝛼×𝑆(𝑡)

     𝐸(𝑡+1)=𝐸(𝑡)−𝛾

    End if

   Update the queen’s internal energy and speed

 End for each

 Generate broods by crossover and mutation

 Use workers to improve the broods

 Update workers’ fitness

 While the best brood is better than the worst queen

   Replace the least-fittest queen with the best brood

   Remove the best brood from the brood list

 End while

End for