In a tandem cold-rolling mill, a strip is successively reduced in gauge at each stand as it passes through the mill. The optimal scheduling of a tandem mill is an important but difficult task. In this work, a scheduling problem is considered as an optimization problem which minimizes the total specific power and satisfies certain constraints. Since the material properties and friction coefficient are not known precisely, they are treated as fuzzy numbers. The fuzzy set theory is applied to find out an optimum drafting pattern. The methodology is illustrated by means of a few examples. It is observed that the schedule in which the maximum reduction is achieved in the first pass results in minimum specific power; however, its reliability is poor. Optimization using fuzzy set theory provides a solution which meets the twin requirements of high reliability and minimum power. [S1087-1357(00)00902-3]
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August 2000
Technical Papers
Application of Fuzzy Set Theory in the Scheduling of a Tandem Cold-Rolling Mill
U. S. Dixit,
U. S. Dixit
Department of Mechanical Engineering, Indian Institute of Technology, Guwahati 781 001, India
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P. M. Dixit
P. M. Dixit
Department of Mechanical Engineering, Indian Institute of Technology, Kanpur 208 016, India
Search for other works by this author on:
U. S. Dixit
Department of Mechanical Engineering, Indian Institute of Technology, Guwahati 781 001, India
P. M. Dixit
Department of Mechanical Engineering, Indian Institute of Technology, Kanpur 208 016, India
Contributed by the Manufacturing Engineering Division for publication in the JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING. Manuscript received April, 1997; revised May 1999. Associate Technical Editor: J. W. Sutherland.
J. Manuf. Sci. Eng. Aug 2000, 122(3): 494-500 (7 pages)
Published Online: May 1, 1999
Article history
Received:
April 1, 1997
Revised:
May 1, 1999
Citation
Dixit, U. S., and Dixit, P. M. (May 1, 1999). "Application of Fuzzy Set Theory in the Scheduling of a Tandem Cold-Rolling Mill ." ASME. J. Manuf. Sci. Eng. August 2000; 122(3): 494–500. https://doi.org/10.1115/1.1285866
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