Based on the concept in Part 1, Theory and General Case, algorithms to determine the constrained R-T characteristic curve are established for convex constrained machining economics problems. The first algorithm is for posynomial problems with the linear-logarithmic tool life equation. The R-T curve may be determined by applying the simplex method to the log-dual problems. Sensitivity analysis of the optimal simplex tableau enables obtaining the loci of optima easily. The second algorithm is for the quadratic posylognomial problems with quadratic-logarithmic tool life equation using the property of primal-dual feasibility. End milling examples constructed in Part 1 illustrate the algorithm comparing to the exhaustive method.
Constrained Cutting Rate-Tool Life Characteristic Curve, Part 2: Convex Programs
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Hough, C. L., Jr., and Chang, Y. (February 1, 1998). "Constrained Cutting Rate-Tool Life Characteristic Curve, Part 2: Convex Programs." ASME. J. Manuf. Sci. Eng. February 1998; 120(1): 160–165. https://doi.org/10.1115/1.2830093
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