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.

Issue Section:
Research Papers
Topics:
Algorithms, Cutting, Economics , Machining, Milling, Sensitivity analysis
1.
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2.
Chang, Y., and Hough, C. L., 1995, “Constrained Cutting Rate-Tool Life Characteristic Curve—Part 1: Theory and General Case,” ASME JOURNAL OF ENGINEERING FOR INDUSTRY, in press.
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Curry, G. L., Deuermeyer, B. L., and Feldman, R. M., 1989, A Microcomputer System for Optimization, MOR/LP Manuals, Department of Industrial Engineering, Texas A&M University.
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