Optimization for the Redundancy Allocation Problem of Reliability Using an Improved Particle Swarm Optimization Algorithm

Table 5

Series system: result comparison between the IPSO and algorithms from the literature.

	Simulated annealing algorithm [36]	PSO algorithm [20]	Improved GA-PSO algorithm [32]	Our IPSO algorithm
Rsystem	0.99946617	0.99995326	0.99995467	0.99995469
n1	3	5	5	5
r1	0.965593	0.902231	0.902231	0.901602
n2	6	6	5	5
r2	0.760592	0.856325	0.856325	0.888261
n3	3	4	4	4
r3	0.972646	0.948145	0.948145	0.948121
n4	5	5	6	6
r4	0.804660	0.883156	0.883156	0.849928
	466.3	399.0	400.0	400.0
	145.8	226.0	226	226.0
	158	195	195	195