Maximum Profit as the Criterion in the Determination of the Optimum Cutting Conditions

1966 ◽  
Vol 88 (4) ◽  
pp. 435-442 ◽  
Author(s):  
S. M. Wu ◽  
D. S. Ermer

Maximum profit is an appropriate criterion for the selection of the optimum machining conditions rather than the conventional criteria of minimum cost or maximum production rate. A simple example is presented to illustrate the determination of the maximum-profit cutting speed by application of a fundamental economic principle that maximum profit occurs at the production rate where the marginal revenue equals the marginal cost. The effects of the demand function, feed, and cost and time parameters on the determination of the maximum-profit cutting speed are analyzed. Emphasis is given to the investigation of a range of optimum cutting speeds, instead of the theoretical optimum speed, for practical applications.

1985 ◽  
Vol 107 (4) ◽  
pp. 361-364 ◽  
Author(s):  
S. W. Dharmadhikari ◽  
C. S. Sharma

Based on two models of material removal in ultrasonic machining, developed in an earlier work, conditions for optimum abrasive life for the objective functions of minimum cost per unit volume of material removed, maximum production rate and maximum profit rate are presented. A simple nomogram is designed for the determination of optimum abrasive life. Sensitivity studies of production rate and profit rate functions are presented. An illustrative example highlights the application of the analysis.


2012 ◽  
Vol 549 ◽  
pp. 871-874
Author(s):  
Yu Hui Liu

The paper analyzes the reasonable selection of cutting parameters and states the relations among maximum profit-oriented cutting speed, minimum cost-oriented cutting speed and maximum productivity-oriented cutting speed. It establishes a mathematical model for the optimization of cutting parameters in machining.


2006 ◽  
Vol 532-533 ◽  
pp. 325-328
Author(s):  
Jing Ying Zhang ◽  
Si Qin Pang ◽  
Qi Xun Yu

This article discusses the problem about the method for the optimization of cutting parameters. A newly developed computational method which is different from the former was used for the optimization of cutting parameters. This method has its advantages of the controllability of the precision and higher speed when the precision requirement of the system is not very high. It can optimize cutting parameters toward the objectives of maximum production rate, minimum production cost and maximum profit rate.


POROS ◽  
2018 ◽  
Vol 16 (1) ◽  
Author(s):  
Sobron Yamin Lubis

Determination of optimum cutting speed in the lathe process should be considered in order to produce minimal machining costs and maximum production. Research The determination of optimum cutting speed was done to investigate the effect of cutting speed when cutting AISI 4140 steel against cost and production obtained. This study was conducted experimentally using lathe and theoretical calculations to determine machining costs and the amount of production produced. The lathe process is carried out using carbide cutting tools for cutting of AISI 4140 steel metal. In this machining the data obtained is the cutting time of the machining process tail loading process then the data is incorporated into the equation together with the cutting force, the cost of the cutting tools, the workpiece, the cost labourers. Then from the calculation results obtained by graph machining cost and production amount. Based on the graph, it is observed minimal machining cost and maximum production amount to know the optimum cutting point. The results obtained .The increase in cutting rate gives effect to the increase of production quantity, while for calculation of machining cost has decreased. Machining time has a significant effect on the change of production quantity and machining cost. The optimal cutting speed (Vcopt) is 269 m / min.


1973 ◽  
Vol 95 (1) ◽  
pp. 312-316 ◽  
Author(s):  
D. S. Ermer ◽  
B. V. Shah

An analytical method for sensitivity studies in the determination of the optimum machining conditions for the single point turning process was previously presented by Ermer and Faria [4]. In the present paper, an analytical method for sensitivity studies in the determination of the optimum machining conditions for milling, drilling, reaming and tapping is presented, assuming that the optimizing criterion is minimum cost or maximum production rate. A nomogram is given which provides a simple and efficient way to carry out quantitative sensitivity analyses.


1968 ◽  
Vol 90 (3) ◽  
pp. 455-466 ◽  
Author(s):  
M. Field ◽  
N. Zlatin ◽  
R. Williams ◽  
M. Kronenberg

Two of the most important factors in any machining operation are the cost per piece and the production rate. Equations have been developed which enable one to calculate these two factors for a given machining operation on a given part and machine tool. Generalized equations for cost and production rate are presented for turning, milling, drilling, reaming, and tapping. The items which make up the cost and production rate can be readily evaluated in each of the equations. The generalized cost per piece and production-rate equations for turning are then expanded to cover brazed and throwaway carbide tools and solid HSS tools. In order to use these equations, it is necessary to have available pertinent tool-life data for each of the tools under the actual machining conditions. Typical tool-life data have been generated and are shown here for a variety of alloys. All of the aforementioned equations have been programmed on a computer so that the cost and production rates can be readily calculated for specific parts, operations, and machine-tool combinations. The computer will print out not only the cost and production rate but also a detailed cost breakdown. A visual examination of each of the cost and production-rate factors makes possible a rapid analysis of the significance of each of the items making up the total cost and production rates. In addition, the cost and production-rate equations for turning have also been optimized. Thus calculations can be made to determine the minimum cost per piece and the maximum production rate for the cases where a mathematical expression, such as the Taylor equation, can be applied relating tool life and cutting speeds. Any projection beyond experimental data would have to be verified to serve as a guide for shop use.


1963 ◽  
Vol 85 (4) ◽  
pp. 402-404 ◽  
Author(s):  
E. M. McCullough

The formulas for calculation of tool life for maximum production rate and tool life for minimum cost are expanded to include multitool operations and cases in which the total cycle time controlled by the spindle speed is greater than the cutting time. A modification is made to avoid use of conventional overhead rates, which are shown to be invalid in this instance.


1970 ◽  
Vol 37 ◽  
pp. 40-46
Author(s):  
Abdullahil Azeem

Cutting speed and feed rate are the two main factors in determining cutting conditions in computer aided process planning, which are directly related to the tool life, machining cost and surface quality. There are experimental data available in the Handbook as the recommendations for academic study and practical applications. But the trends to characterize the data within the entire range and the determination of the intermediate data lying between the known data points are usually not clearly presented in such resources. This research focuses on building a "Composite Constrained Fitting Model" to determine the trends of the experimental cutting speed and feed data and thereby to obtain the intermediate data points. The model fits a composite curve through all the different curve segments, maintaining their boundary conditions and constraints on the coefficients to make its trend have valid physical interpretations.Keywords: Cutting speed, Feed rate, Fitting modeldoi:10.3329/jme.v37i0.818Journal of Mechanical Engineering Vol.37 June 2007, pp.40-46


1967 ◽  
Vol 89 (2) ◽  
pp. 315-322 ◽  
Author(s):  
D. S. Ermer ◽  
S. M. Wu

The effect of experimental error in tool life testing on the determination of the minimum cost cutting speed (Vmin) is investigated by using the concept of statistical inference. It is shown that Vmin is not uniquely defined but lies within a probable interval of cutting speeds, and that this interval is affected by the cost and time parameters and the experimental range of feed in tool life testing. The selection of a specific speed from the Vmin confidence interval is illustrated by a decision rule based on the minimax principle.


Author(s):  
G C Onwubolu

This paper presents a new methodology involving the use of Tribes for the selection of cutting conditions in single-pass milling operations. The new methodology, which is autonomous because it does not need any parameter tuning, is based on a comprehensive optimization criterion integrating the contributing effects of all major machining performance measures for milling operations. The results of case studies previously considered using genetic algorithms are presented to demonstrate the application of this new methodology for the determination of optimum cutting conditions in face- and end-milling operations. Results obtained show that the new methodology is efficient, effective, and competitive.


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