Optimization in Tool Engineering Using Geometric Programming

Modeling of cutting forces as function of cutting parameters for face milling of satellite 6 using an artificial neural network

“…The quantitative methods were developed with consideration of a single objective, such as minimization of cost or maximization of profit. For the process of the single objective optimization, several different techniques were proposed, such as the differential calculus [10,11], regression analysis [12,13], geometric and stochastic programming [14], genetic algorithm [15], computer simulating [16] and modeling with ANNs [17][18][19][20][21][22][23][24][25].…”

Application of mathematical programming to metal cutting

“…[7,12,14] To solve the metal cutting problem given in Example 1 by geometric programming it would be modelled as follows: This is a problem with five degrees of difficulty and would be very difficult to solve without the use of a computer. Computer programs are available [10] to solve geometric programming problems with relatively large degrees of freedom.…”

“…Currently there is a great deal of interest in the use of Mathematical Programming techniques for the optimization of machining processes [1,3,4,7,8,9,13,14,15]. Machining is one of the more important manufacturing processes.…”

“…The single-pass, single-tool turning operation has been optimized using differential calculus [1], Lagrange multipliers [3,4], geometric programming [7,14], linear programming [8,13] and chance-constrained programming [9]. In this paper some of these approaches will be reviewed and another approach, that of linear goal programming, will be discussed.…”

Multiple-objective optimisation of machining operations based on neural networks

“…Quantitative methods for optimisation of machining operations based on a single objective such as minimisation of costs and maximisation of profit or production rate have been developed. Many paradigms have been proposed for single-objective optimisation of machining operations using various techniques such as differential calculus [2], regression analysis [3], linear programming [2], geometric programming [2,4,5], stochastic programming [6] and computer simulation [7].…”