Obtain several optimal points on the pareto frontier

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Reference no: EM13835177

Consider the following bi-objective optimization problem.

μ ₁= sin θ	(6.32)
μ ₂= 1 - sin ⁷θ	(6.33)
0.5326 ≤ θ ≤ 1.2532	(6.34)

(a) Obtain several optimal points on the Pareto frontier using the weighted sum method. Use the MATLAB function fmincon for optimization. Plot the points in the μ 1 - μ 2 space. Turn in your M-files and the plot.

(b) Do you think that the weighted sum method performs satisfactorily in obtaining points on the Pareto frontier?

(c) Use the compromise programming approach with an appropriate value for the exponent to obtain the Pareto frontier. Turn in the plot and the M-file that you think yields the most satisfactory results.

Reference no: EM13835177

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