Chebyshev Goal Programming

Chebyshev goal programming can be considered as a specific form of the weighted goal programming approach. It seeks the solution that minimizes the worst unwanted deviation from any single goal. In this case, instead of using subjective notions to set the aspiration levels for the objectives, a set of single optimization problems is solved to arrive at the “best” and “worst” possible values of each objective. The best values are then used as aspiration levels for the objectives. The objective then becomes to minimize the deviation from those aspiration levels so that the worst deviation from any single-goal aspiration level is mimimized.

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