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Virginia Tech University operates its own power-generating plant. The electricity generated by this plant supplies power to the university and to...
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The three types of coal can be mixed and burned in any combination. The resulting emission of sulfur or coal dust and the pounds of steam produced by any mixture are given as the weighted average of the values shown in the table for each type of coal. For example, if the coals are mixed to produce a blend that consisted of 35% of coal 1, 40% of coal 2, and 25% of coal 3, the sulfur emission (in ppm) resulting from burning one tone of this blend is: 0.35*1,100 + 0.4*3,500 + 0.25*1,300 = 2,110. The manager of this facility wants to select a blend of coal to burn while considering the following objectives:
Objective 1: Maximize the pounds of steam produced.
Objective 2: Minimize sulfur emissions.
Objective 3: Minimize coal dust emissions.
Questions: Formulate an MOLP model for this problem, and implement the model in a spreadsheet
a) Determine the best possible value for each objective in the problem.
Record all three solutions.
b) Determine the solution that minimizes the maximum percentage deviation from the optimal objective function values.
Suppose management considers maximizing the amount of steam produced five times as important as achieving the best possible values for the other objectives.
