The problem of selecting optimal machining conditions, where the formulation involves the use of empirical relations, is considered. Since both randomness and fuzziness are associated with empirical relations, a coupled uncertainty model is proposed for manipulating these uncertainties. Equations are derived to establish the interrelation between the two types of uncertainties present in the objective functions and constraints of the optimization process. This permits a systematic handling of fuzziness in terms of randomness that is usually associated with experiments. The computational aspects of the approach are illustrated by two numerical examples dealing with the optimization of machining processes. [S1087-1357(00)70501-6]

1.
Hati, S. K., and Rao, S. S., 1976, “Determination of Optimum Machining Conditions—Deterministic and Probabilistic Approaches,” ASME J. Eng. Ind., pp. 354–359.
2.
Rao
,
S. S.
, and
Hati
,
S. K.
,
1978
, “
Computerized Selection of Optimum Machining Conditions for a Job Requiring Multiple Operation
,”
ASME J. Eng. Ind.
,
100
, pp.
356
362
.
3.
Agapiou
,
J. S.
,
1992
, “
The Optimization of Machining Operations Based on a Combined Criterion, Part 2: Multipass Operations
,”
ASME J. Eng. Ind.
,
114
, pp.
508
513
.
4.
Chen
,
L.
, and
Rao
,
S. S.
,
1997
, “
Manipulation of Uncertainties in the Determination of Optimal Machining Conditions Under Multiple Criteria.
ASME J. Manuf. Sci. Eng.
,
119
, pp.
186
192
.
5.
Tsoukalas, L. H., and Uhng, R. E., 1997, Fuzzy and Neural Approaches in Engineering, Wiley, New York.
6.
Rao
,
S. S.
, and
Chen
,
Li.
,
1996
, “
A Generalized Hybrid Method for Fuzzy Multiobjective Optimization of Engineering Systems
,”
AIAA J.
,
34
, pp.
1709
1717
.
7.
Rao, S. S., 1992, Reliability-Based Design, McGraw Hill, New York.
8.
Rao, S. S., 1996, Engineering Optimization: Theory and Practice, 3rd Ed., Wiley, New York.
9.
Eskicioglu
,
A. M.
, and
Eskicioglu
,
H.
,
1992
, “
Application of Three Non-Linear Programming Techniques in Optimizing Machining Conditions
,”
Proc. Inst. Mech. Eng.
,
206
, pp.
183
189
.
10.
Muju, M. K., Shanker, K., and Aherrao, P. K., “A Computer Aided Process Planning System for Milling Operations,” Proceedings of the 1993 ASME International Computers in Engineering Conference and Exposition, San Diego, CA, pp. 413–419.
11.
Field, M., Zlatin, N., Williams, R., and Kronenberg, M., 1969, “Computerized Determination and Analysis of Cost and Production Rates for Machining Operations: Part 2—Milling, Drilling, Reaming, and Tapping,” ASME J. Eng. Ind., pp. 585–596.
12.
Wysk, R. A., 1977, An Automated Process Planning and Selection Program: AP-PAS, Ph.D. Thesis, Purdue University, Indiana.
You do not currently have access to this content.