Application of Fuzzy Set Theory in the Scheduling of a Tandem Cold-Rolling Mill
Author:
Dixit U. S.1, Dixit P. M.2
Affiliation:
1. Department of Mechanical Engineering, Indian Institute of Technology, Guwahati 781 001, India 2. Department of Mechanical Engineering, Indian Institute of Technology, Kanpur 208 016, India
Abstract
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]
Publisher
ASME International
Subject
Industrial and Manufacturing Engineering,Computer Science Applications,Mechanical Engineering,Control and Systems Engineering
Reference16 articles.
1. Dixit, U. S., and Dixit, P. M., 1996, “A finite-element analysis of flat rolling and application of fuzzy set theory,” Int. J. Mach. Tools Manufact., 36, pp. 947–969. 2. Avitzur, B., 1962, “Pass reduction schedule for optimum production of a hot strip mill,” Iron Steel Eng., Dec., pp. 104–114. 3. Bryant, G. F., and Spooner, P. D., 1973, “On-line adoption of tandem mill schedules,” Automation of Tandem Mills, Bryant, G. F., ed., The Iron and Steel Institute, London. 4. Bryant, G. F., Halliday, J. M., and Spooner, P. D., 1973, “Optimal scheduling of a tandem cold-rolling mill,” Automation of Tandem Mills, Bryant, G. F., ed., The Iron and Steel Institute, London. 5. Zadeh, L. A.
, 1965, “Fuzzy Sets,” Inf. Control., 8, pp. 338–353.
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