Quadratic geometric programming with application to machining economics |
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Authors: | Thomas R. Jefferson Carlton H. Scott |
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Affiliation: | (1) Department of Industrial Engineering, University of Pittsburgh, 15261 Pittsburgh, PA, USA;(2) Graduate School of Management, University of California, 92717 Irvine, CA, USA |
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Abstract: | Geometric Programming is extended to include convex quadratic functions. Generalized Geometric Programming is applied to this class of programs to obtain a convex dual program. Machining economics problems fall into this class. Such problems are studied by applying this duality to a nested set of three problems. One problem is zero degree of difficulty and the solution is obtained by solving a simple system of equations. The inclusion of a constraint restricting the force on the tool to be less than or equal to the breaking force provides a more realistic solution. This model is solved as a program with one degree of difficulty. Finally the behavior of the machining cost per part is studied parametrically as a function of axial depth. This research was supported by the Air Force Office of Scientific Research Grant AFOSR-83-0234 |
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Keywords: | Geometric Programming Convex Quadratic Machining Economics Problem |
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