Chaotic Hopfield Neural Network Swarm Optimization and Its Application

Table 2

Comparison of the results for pressure Vessel design problem.

Design variables	Best solutions found
	This paper	Hu et al. [27]	Coello [28]
𝑥1(𝑇𝑠)	0.8125	0.8125	0.8125
𝑥2(𝑇ℎ)	0.4375	0.4375	0.4375
𝑥3(𝑅)	42.09845	42.09845	40.3239
𝑥4(𝐿)	176.6366	176.6366	200.0
𝑔1(𝑋)	0	0	0.03424
𝑔2(𝑋)	−0.03588	−0.03588	−0.052847
𝑔3(𝑋)	−1.1814∗10^−11	−5.8208∗10^−11	−27.105845
𝑔4(𝑋)	−63.3634	−63.3634	−40.0
𝑓(𝑋)	𝟔𝟎𝟓𝟗.𝟏𝟑𝟏𝟑	𝟔𝟎𝟓𝟗.𝟏𝟑𝟏𝟑	𝟔𝟐𝟖𝟖.𝟕𝟒𝟒𝟓