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Optimization in Science and Engineering
We develop algorithms computing piecewise linear, continuous overestimators, underestimators and tubes for univariate functions which minimize the area between the approximator and the function. We call such approximators area-tight. Area-tight overestimators, underestimators and tubes are of interest when solving large-scale mixed-integer non-linear programming problems. The function to be approximated is typically non-linear and non-convex; it should be univariate and discontinuous only at adoi:10.1007/978-1-4939-0808-0_14 fatcat:levmhod2uzaylc2ky3so55x53e