2013-03-28T02:47:52Z pmendes@uchc.edu Mendes Pedro University of Connecticut School of Medicine

Egea function

Part of a set of benchmark functions for global optimisation

variables: 2
interval: x1 ∈ [−6, 6], x2 ∈ [−2, 7]
minimum: (?,?)
minimum value: ?

f (x1, x2) = 2 + 0.01(x2 − x1²) + (1 − x1)² + 2(2 − x2)² + 17 sin(0.5x1) sin(0.7x1 x2 )

This function has a few local minima (at least 7) but is fairly smooth. It is included here mostly to compare against results of scatter search included in Egea et al

Described in Egea et al. An evolutionary method for complex-process optimization. Computers & Operations Research 37 315-324.

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2013-03-28T02:48:47Z 2013-03-28T02:51:41Z 2013-03-28T02:51:50Z 2+0.01*(<CN=Root,Model=Egea Function,Vector=Values[x2],Reference=InitialValue>-<CN=Root,Model=Egea Function,Vector=Values[x1],Reference=InitialValue>^2)^2+(1-<CN=Root,Model=Egea Function,Vector=Values[x1],Reference=InitialValue>)^2+2*(2-<CN=Root,Model=Egea Function,Vector=Values[x2],Reference=InitialValue>)^2+7*sin(0.5*<CN=Root,Model=Egea Function,Vector=Values[x1],Reference=InitialValue>)*sin(0.7*<CN=Root,Model=Egea Function,Vector=Values[x1],Reference=InitialValue>*<CN=Root,Model=Egea Function,Vector=Values[x2],Reference=InitialValue>) 0 -1.4557526220197108 2.517143181770507 2.5663669797018511 <CN=Root,Model=Egea Function,Vector=Values[Egea_function],Reference=InitialValue> This table outputs time and the target function of the optimization.