UCI Find and Plot the Feasible Region in Decision Space Engineeruing Questions

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Pocx

Engineering

University of California Irvine

Description

please use excel if necessaryQUESTION 2
Consider the following multi-objective linear program:
π‘€π‘Žπ‘₯ 𝑍1 = π‘₯ + 𝑦
𝑀𝑖𝑛 𝑍2 = 0.5π‘₯ + 𝑦
Subject to:
π‘₯ + 𝑦 ≀ 10
π‘₯ ― 𝑦 ≀ 6
𝑦 ≀ 8
π‘₯,𝑦 β‰₯ 0
a. Find and plot the feasible region in decision space
b. Plot the corresponding feasible region in objective space. For each extreme point, indicate if it is
non-inferior or dominated
c. Use the constraint method to generate an approximation of the non-inferior set. Generate 6 non-
inferior solutions evenly spaced in terms of 𝑍1.
d. Use the weighting method to generate an approximation of the non-inferior set. Generate 6 non-
inferior solutions (they don’t have to be unique) evenly spaced in terms of the weighting of the two
objectives.

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