Solid Waste Management Systems Assignment: Multi-Objective Problems
1. Consider the following multi-objective problem:
Maximize Z1 = 4x1 + 6x2
Maximize Z2 = - 4x1 + 2x2
Subject to:
x1 - x2 ≥ -4
3x1 - 2x2 ≤ 6
x1 + x2 ≥ 5
x1 + x2 ≤ 10
x1, x2 ≥ 0
a. Plot the feasible region in decision space.
b. Plot the feasible region in objective space.
c. For each extreme point in objective space, indicate if it is non-dominated.
d. Find the solution that maximizes Z1.
e. Find the solution that maximizes Z2.
2. Many personal decisions involve weighing conflicting objectives. Sometimes this is done consciously, but often we don't explicitly state our objectives when considering important decisions.
Consider the question of where you would like to live and work after you complete your engineering degree at UNB. Assume that your overall goal is to have a healthy life that is full of pleasure, meaning and fulfillment.
a. List between three and five criteria that you would use in deciding on your future career path. How would you quantify each of your criteria? Which criteria are most important to you? What relative weighting factors would you apply to each of the criteria?
b. Next, choose three possible alternatives (locations in the world, different jobs, etc.). Consider each alternative in light of your chosen criteria and determine which you prefer.