I would recommend you this review

http://arxiv.org/pdf/1312.6609.pdf

This algorithm appears to be a hybrid between a genetic algorithm and a evolution strategy. 

Is the Firefly Algorithm you refer to is the one for Optimization Problem proposed by Prof. Xin-She Yang in 2008 ? If that so, i think you can just modify the continuous version that can be found here :

http://yarpiz.com/259/ypea112-firefly-algorithm

Modified the continous number to binary number by do some rounding to 0 or 1.

Hi Ngo,

Here are some reference in the subject:

-A comprehensive review of firefly algorithms

https://arxiv.org/pdf/1312.6609

-A Binary Firefly Algorithm for the Set Covering Problem

www.imt.ro/romjist/Volum17/.../04-WPalma2014.pdf

-A comprehensive review of firefly algorithms

    https://arxiv.org/pdf/1312.6609

Best regards

.      

Sorry Ngo,

I forgot to mention a reference that can also be interesting for you.

A Binary Coded Firefly Algorithm that Solves the Set Covering Problem

www.imt.ro/romjist/Volum17/.../04-WPalma2014.pdf

Best regards

Thank much for scholars for your kind helps!

Dear Ngo:

   I do not know your motivation to use a "firefly algorithm".

I suggest you to read the following paper:

http://onlinelibrary.wiley.com/doi/10.1111/itor.12001/full

"Metaheuristics—the metaphor exposed" where a discussion on "novel" bio-inspired metaheuristics is addressed. There are some online versions in case you do not have access to the journal.

All the best

David

Thank David for the reference. In my research, I would like to apply  metaheuristic algorithm such binary firefly algorithm to optimize the "turn-off" - "turn-on" schedule of household appliances.