Page 207 - 2024-Vol20-Issue2

203 | Al-mtory, Alnahwi & Ali

TABLE VI.
EXECUTION TIME FOR EACH ALGORITHM WITH VARIABLE DIMENSION = 10 AND 1000 ITERATIONS

FUN# Method Time of 30 runs (s) Av. Time of single run (s)
FUN1 CDOA. 8.182886 0.2827628
FUN2 Modified CA 5.026145 0.183246
FUN3 96.064317 3.281444
FUN4 PSO 30.9517536 1.398778
FUN5 SCA 120.453223 4.03333334
FUN6 FKE 8.237817 0.2755939
CDOA. 5.51047 0.198275
Modified CA 97.913156 3.352465
PSO 42.2693127 1.422136
SCA 130.6689 4.366667
FKE 8.030139 0.2787653
CDOA. 12.43114 0.43207
Modified CA 100.251417 3.363865
PSO 68.963951 3.336548
SCA 111.99865 3.73333334
FKE 8.146566
CDOA. 7.569398 0.272987895
Modified CA 99.617142 0.271435
PSO 73.741268 3.436092
SCA 114.698453 2.458223
FKE 8.158127 3.833334
CDOA. 8.344597 0.2749393
Modified CA 94.737667 0.294662
PSO 69.785214 3.20187
SCA 100.5437 2.335697
FKE 8.172816 3.366667
CDOA. 6.912578 0.272876
Modified CA 89.546399 0.247527
PSO 78.379128 3.015565
SCA 95.8775 2.6987426
FKE 3.2

TABLE VII.
PID COEFFICIENTS FOR SYSTEM-A, SYSTEM-B,

SYSTEM-C, SYSTEM-D, AND SYSTEM-E

System Kp proportional coefficient Ki integral coefficient Kd derivative coefficient
System -A 10.54 11 6.223
System -B 2.2465 6.1281 6.5486
System -C 1.9558 4.1135 2.3717
System -D 4.8670 10.47404 2.6363
System -E 32.0583 0.0314 68.8086

Fig. 6. Cantilever beam design problem dispersion. This may complicate the algorithm but may results
in faster convergence to the optimal solution.

CONFLICT OF INTEREST

The authors have no conflict of relevant interest to this article.