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.

	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