MLDO Problem 1 DOT formulation

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All At Once

DECLARATIONS

NDV =  7   (# design variables)
NCON = 6   (# constraints)

OBJECTIVE FUNCTION

OBJ = X(1)*X(1)+X(2)*X(2)

DESIGN CONSTRAINTS

G(1)= (1.0/X(3)**2 + X(4)**2)/X(5)**2 - 1.0
G(2)= (X(5)**2 + 1.0/X(6)**2)/X(7)**2  - 1.0
G(3)= X(1)**2 - X(3)**2 - 1.0/X(4)**2 - X(5)**2
G(4)=-X(1)**2 + X(3)**2 + 1.0/X(4)**2 + X(5)**2
G(5)= X(2)**2 - X(5)**2 - X(6)**2 - X(7)**2
G(6)=-X(2)**2 + X(5)**2 + X(6)**2 + X(7)**2

constraints X(i)=>0 , i=1,7 achieved by setting lb(i)=0.0

Results

initial values: X(I)=1.0; LB(I)=0.0; UB(I)=25.0; I=1,7

	x1	x2	x3	x4	x5	x6	x7	objective
Saber	2.15	2.06	1.32	0.76	1.07	1.00	1.47
DOT 1	2.17	2.06	1.28	0.72	1.06	1.04	1.43	8.95
DOT 2	2.15	2.07	1.32	0.76	1.07	1.00	1.46	8.93
DOT 3	2.15	2.07	1.32	0.76	1.07	1.00	1.47	8.93
CFSQP	2.27	1.95	1.33	0.61	0.97	1.00	1.39	8.98
ATC_AL_1	2.25	2.00	1.33	0.66	1.00	1.05	1.38

where DOT i means DOT METHOD i

Conclusions

DOT 2 and DOT 3 results are very close to that obtained by Saber.