AMOBH: Adaptive Multiobjective Black Hole Algorithm

Algorithm 5

Adaptive multiobjective black hole algorithm.

Require: The stars’ population , the archive

, the variable bound , the max iteration

, and the elite learning rate .

(1) fitnessFcn ();

(2) [APF, APS] getInitAP();

(3) %Put the APS into Ar.

(4) Ar[] APS;

(5) %Map the APF to PCCS and calculate the and .

(6) PCCS = MapToPCCS(APF);

(7) [, ] CalSE(PCCS);

(8) %Update the evolution status.

(9) Algorithm  1;

(10) %Get the candidate black holes.

(11) Algorithm  3;

(12) for    to  

(13) for    to  

(14) %Randomly choose a black hole for star update.

(15) Bhole = Bholes(randperm (length (Bholes), 1));

(16) if  rand   then

(17) %Elite mutation.

(18) bBhole EM(bBhole);

(19) end if

(20) ;

(21) fitnessFcn();

(22) if    then

(23) ...;

(24) fitnessFcn();

(25) end if

(26) %Determine whether accept the star .

(27) Algorithm  2;

(28) end for

(29) [APF, APS] getAP(Ar);

(30) PCCS MapToPCCS(APF);

(31) [, ] CalSE(PCCS);

(32) Algorithm  1;

(33) %Update the learning rate .

(34) Algorithm  4;

(35) %Whether a star crosses the event horizon of the black holes or not.

(36) for    to  

(37) if any(distance(, gBholes) ) then

(38) ...;

(39) end if

(40) end for

(41) Algorithm  3;

(42) end for

(43) return  APF, APS;