Research Article
Optimization for the Redundancy Allocation Problem of Reliability Using an Improved Particle Swarm Optimization Algorithm
Table 6
Series-parallel system: result comparison between the IPSO and algorithms from the literature.
| ā | Simulated annealing algorithm [36] | Surrogate constraint algorithm [35] | Improved GA-PSO algorithm [32] | Biogeography-based optimization [22] | Our IPSO algorithm |
| Rsystem | 0.94397376 | 0.99273890 | 0.94426072 | 0.99997664 | 0.99312499 | n1 | 2 | 3 | 2 | 2 | 3 | r1 | 0.812161 | 0.838193 | 0.819640 | 0.819658 | 0.880335 | n2 | 2 | 3 | 2 | 2 | 3 | r2 | 0.853346 | 0.855065 | 0.845091 | 0.844910 | 0.827082 | n3 | 2 | 1 | 2 | 2 | 2 | r3 | 0.897597 | 0.878859 | 0.895482 | 0.895487 | 0.873112 | n4 | 2 | 2 | 2 | 2 | 3 | r4 | 0.900710 | 0.911402 | 0.895517 | 0.895514 | 0.915546 | n5 | 4 | 3 | 4 | 4 | 2 | r5 | 0.866316 | 0.850355 | 0.868430 | 0.868468 | 0.701152 | | 175.0 | 175.0 | 175.0 | 175.0 | 174.6 | | 98.4 | 92.9 | 98.4 | 98.4 | 97.9 | | 140 | 127 | 140 | 140 | 162 |
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