Cl. Hough et Y. Chang, CONSTRAINED CUTTING RATE-TOOL LIFE CHARACTERISTIC CURVE, PART 2 - CONVEX-PROGRAMS, Journal of manufacturing science and engineering, 120(1), 1998, pp. 160-165
Based on the concept in Part 1, Theory and General Case, algorithms to
determine the constrained R-T characteristic curve are established fo
r convex constrained machining economics problems. The first algorithm
is for posynomial problems with the linear-logarithmic tool life equa
tion. The R-T curve may be determined by applying the simplex method t
o the log-dual problems. Sensitivity analysis of the optimal simplex t
ableau enables obtaining the loci of optima easily. The second algorit
hm is for the quadratic poslygnomial problems with quadratic-logarithm
ic tool life equation using the property of primal-dual feasibility. E
nd milling examples constructed in Part 1 illustrate the algorithm com
paring to the exhaustive method.