Visualization in Bi-objective Problems: Tradeoff Curve
In the case of bi-objective problems, informing the decision maker concerning the Pareto frontier is usually carried out by its visualization: the Pareto frontier, often named the tradeoff curve in this case, can be drawn at the objective plane. The tradeoff curve gives full information on objective values and on objective tradeoffs, which inform how improving one objective is related to deteriorating the second one while moving along the tradeoff curve. The decision maker takes this information into account while specifying the preferred Pareto optimal objective point. The idea to approximate and visualize the Pareto frontier was introduced for linear bi-objective decision problems by S.Gass and T.Saaty. This idea was developed and applied in environmental problems by J.L. Cohon. A review of methods for approximating the Pareto frontier for various decision problems with a small number of objectives (mainly, two) is provided in.
Read more about this topic: Multi-objective Optimization, Visualization of The Pareto Frontier
Famous quotes containing the word curve:
“I have been photographing our toilet, that glossy enameled receptacle of extraordinary beauty.... Here was every sensuous curve of the “human figure divine” but minus the imperfections. Never did the Greeks reach a more significant consummation to their culture, and it somehow reminded me, in the glory of its chaste convulsions and in its swelling, sweeping, forward movement of finely progressing contours, of the Victory of Samothrace.”
—Edward Weston (1886–1958)