3 Graphical Optimization
Upon completion of this chapter, you will be able to:
• Graphically solve any optimization problem having two design variables
• Plot constraints and identify their feasible/infeasible side
• Identify the feasible region/feasible set for the problem
• Plot objective function contours through the feasible region
• Graphically locate the optimum solution for a problem and identify active/inactive constraints
• Identify problems that may have multiple, unbounded, or infeasible solutions
Optimization problems having only two design variables can be solved by observing the way they are graphically represented. All constraint functions are plotted, and a set of feasible designs (the feasible set) for the problem is identified. ...
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