Determination of Optimum Machining Conditions—Deterministic and Probabilistic Approaches

[+] Author and Article Information
S. K. Hati, S. S. Rao

Department of Mechanical Engineering, Indian Institute of Technology, Kanpur, India

J. Eng. Ind 98(1), 354-359 (Feb 01, 1976) (6 pages) doi:10.1115/1.3438853 History: Received January 10, 1975; Online July 15, 2010


The mathematical programing techniques are applied to determine the optimum cutting parameters of machining operations. Three objectives, the cost of production per piece, the production rate, and the profit, are considered for optimization. The different constraints that arise during the machining operation are also considered. As some parameters involved in the process may not be purely deterministic, a probabilistic model is set up for the cost of production per piece and the production rate. After converting the probabilistic model into an equivalent deterministic model, the mathematical programing techniques are applied and the results obtained are compared with those of the deterministic model. A sensitivity analysis with respect to the cost parameters is carried in the case of cost of production per piece.

Copyright © 1976 by ASME
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