Rasool et al. _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Table 12 . Different parameters used in optimization techniques
Algorithm
Parameters
Population size: 500, 1000, 1500, 2000, 2500 Number of maximum iterations: 50, 60, 70, 80, 90; Crossover rate:0.8; Mutation rate: 0.9
Genetic Algorithm
Population size: 500, 1000, 1500, 2000, 2500 Number of maximum iterations; 50, 60, 70, 80, 90 Inertia weight: 0.99, Damping ratio: 0.8, Global best: 2.684, Personal best: 1.789
Particle Swarm Optimization
Range of repair rates ( ࣂ ) [0.10, 0.50]
Range of failure rates ( ࣆ ) [0.02, 0.09]
Table 13 . Search space of failure and repair rates
Sr. No.
Name of subsystem
1 2 3
Storage Tank (I)
Repulping/slushing (II)
[0.01, 0.09] [0.02, 0.08]
[0.05, 0.08] [0.10, 0.90]
Deflacking (III)
Storage and Mixing Chest (IV) Paper Machine(V)
4
[0.01, 0.07]
[0.02, 0.10]
5
[0.02, 0.06]
[0.10, 0.55]
Table 14 . Availability of Stock Preparation Unit in a Paper Plant using Genetic Algorithm
Pop.\Iter
50
60
70
80
90
0.9038 0.8996 0.9119 0.9077 0.9107
0.8817 0.9098 0.9117 0.9153 0.8944
0.8877 0.9026 0.9140 0.8967 0.9078
0.9085 0.8933 0.9054 0.9038 0.9207
0.8856 0.9128 0.8989 0.9063 0.8996
500
1000 1500 2000 2500
Figure 8. Effect of Number of Iteration on Fitness (Stock Preparation Unit Availability) at population 2500 and iteration 80.
Figure 8 represents the convergence of availability at iteration 80 with population size of 2500. Table 14 displays optimized availability achieved through Genetic Algorithm (GA) with different iterations and population sizes. The system reaches its peak availability of 0.9207 with a population size of 2500 and 80 iterations. Table 15 appends parameter values corresponding to different population sizes and iterations.
_____________________________________________________________________________________________ 16 Braz. J. Biom. ǡǤ 43 ǡǦͶ͵ʹǡʹͲʹͷǤ
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