R. Gupta et al., PROFIT RATE MAXIMIZATION IN MULTIPASS TURNING WITH CONSTRAINTS - A GEOMETRIC-PROGRAMMING APPROACH, International Journal of Production Research, 32(7), 1994, pp. 1557-1569
Citations number
NO
Categorie Soggetti
Engineering,"Operatione Research & Management Science
Geometric programming (GP) has been successfully used for the determin
ation of cutting parameters considering minimum production cost or max
imum production rate as objective functions. However, GP was found not
to be useful for another important criterion of optimization, namely
maximum profit rate, due to its signomial nature. In this paper it has
been shown that, through modification of the constraint set, the prob
lem of profit rate maximization can be converted to posynomial form, a
nd thus can be solved by GP combined with linear programming (GP-LP).
The problems of single and multipass turning are formulated and solved
for profit rate maximization using the GP-LP approach. The resulting
cutting conditions have been compared with the conditions obtained for
minimum production cost and maximum production rate.