Robust Tolerance Design With the Integer Programming Approach

1997 ◽  
Vol 119 (4A) ◽  
pp. 603-610 ◽  
Author(s):  
Chang-Xue (Jack) Feng ◽  
A. Kusiak
Keyword(s):  
Integer Programming ◽  
Loss Function ◽  
Programming Approach ◽  
Manufacturing Cost ◽  
Tolerance Design ◽  
Quality Loss ◽  
Quality Loss Function ◽  
The Cost ◽  
Manufacturing Yield ◽  
Selection Of

The quality loss function incorporates the cost of tolerances, however, it does not consider the manufacturing cost and design constraints. In this paper, a stochastic integer programming (SIP) approach is presented for simultaneous selection of tolerances and manufacturing processes. A direct link between the minimum manufacturing cost and the required level of manufacturing yield is established through the process capability index Cpk. As the tolerances in SIP are discrete, the solution generated is acceptable for manufacturing. It is shown that the integer programming models are applicable in the quality loss function and six sigma design approaches. The SIP approach is illustrated with a classical example of nonlinear tolerance design. The comparison of the proposed SIP approach, the Taguchi method, and the conventional mathematical models in tolerance synthesis is presented.

Use of a Quality Loss Function to Select Statistical Tolerances

1997 ◽  
Vol 119 (3) ◽  
pp. 410-416 ◽  
Author(s):  
H. Vasseur ◽  
T. R. Kurfess ◽  
J. Cagan
Keyword(s):  
Loss Function ◽  
A Priori ◽  
Manufacturing Cost ◽  
Quality Loss ◽  
Quality Loss Function ◽  
Component Assembly ◽  
The Impact ◽  
The Relationship ◽  
Selection Of

In this paper, we present a method for the selection of processes to manufacture various parts of an assembly by establishing a compromise between product quality and part manufacturing cost. We quantify the impact the precision of a part characteristic has on the overall quality of a product by using a standard Taguchi loss function. Part manufacturing cost is modeled as a function of process precision (i.e., standard deviation of the output characteristic) as opposed to previous models where manufacturing cost is a function of part tolerance. This approach is more realistic and does not assume, a priori, a relationship between conventional tolerance and process spread. Rather than allocating conventional tolerances on the assembly parts, we use statistical tolerances that are more pertinent when using a quality loss function. The model adopted makes it possible to investigate the relationship between optimum quality loss and tolerance variations. As expected, the optimum quality loss generally decreases when the tolerance increases. Exceptions may be encountered when changes of process occur. The manufacture of a simple three component assembly is studied to illustrate the findings.

TOLERANCE DESIGN BY BREAK-EVEN ANALYSIS FOR REDUCING VARIATION AND COST

1994 ◽  
Vol 01 (04) ◽  
pp. 445-457
Author(s):  
GUANGMING CHEN ◽  
KAILASH C. KAPUR
Keyword(s):  
Transfer Function ◽  
Loss Function ◽  
System Performance ◽  
Total Loss ◽  
Tolerance Design ◽  
Quality Loss ◽  
Design Technique ◽  
Quality Loss Function ◽  
Cost Increase ◽  
The Cost

Tolerance design technique balances the expected quality loss due to variations of the system performance and the cost due to controlling these variations. Measures of quality are discussed and quality loss function is used for tolerance design. The goal is to minimize the total loss that consists of the quality loss to the customer and the cost increase to the producer. The design methodologies are presented for the tolerances of products before shipping to the customer and the tolerances of lower-level characteristics. The approaches to tolerance design for components and subsystems are also demonstrated using the variation transfer function. Examples are given as illustrations of the methodology.

Robust Tolerance Design Considering Process Capability and Quality Loss

1999 ◽  
Author(s):  
Chang-Xue (Jack) Feng ◽  
Ravi Balusu
Keyword(s):  
Manufacturing Process ◽  
Lead Time ◽  
Process Capability ◽  
Concurrent Design ◽  
Manufacturing Cost ◽  
Tolerance Design ◽  
Quality Loss ◽  
Quality Loss Function ◽  
Capability Indices ◽  
Design And Manufacturing

Abstract Tolerance design bridges design and manufacturing. Concurrent design of tolerances and manufacturing processes may ensure the manufacturability, reduce the manufacturing and other related costs, decrease the number of fraction nonconforming (or defective rate), and shorten the production lead time. Since process capability indices relate tolerance specifications to manufacturing process capabilities, it is quite natural to apply them to concurrent design of tolerances and processes. As process shifts often exist in a manufacturing process, using Cp does not yield a good estimation of fraction nonconforming. Index Cpk does not precisely measure process shift either, but Cpm does. Therefore, this research compares the applications of Cp, Cpk and Cpm based on a numerical example of non-linear mechanical tolerance synthesis. In addition, the Taguchi quality loss function is used together with the manufacturing cost as the objective function.

Concurrent Tolerance Design Based on Manufacturing Cost and Quality Loss

2014 ◽  
Vol 687-691 ◽  
pp. 4996-4999
Author(s):  
Zhang Rong
Keyword(s):  
High Performance ◽  
Low Cost ◽  
Engineering Application ◽  
Manufacturing Cost ◽  
Tolerance Design ◽  
Quality Loss ◽  
Product Loss ◽  
Parameterized Model ◽  
The Cost ◽  
Design And Manufacture

With the constraints on manufacturing capacity, the satisfaction of product performance and the cost of manufacture are contradictory, the problem between high-performance and low-cost must be solved at the period of design and manufacture for product. To solve this problem, the product loss model has been analyzed, the parameterized and non-parameterized model of anticipant losses has been researched, with concurrent design, in connection with the product with multiple correlated assembly functional dimensions, the relation function between quality loss and process dimension tolerance has been provided, the concurrent tolerance design mathematical model based on lowest-cost and quality loss has been established. The applied case shows that this method has important guiding significance for engineering application.

A robust tolerance optimization method based on fuzzy quality loss

2009 ◽  
Vol 223 (11) ◽  
pp. 2647-2653 ◽  
Author(s):  
Y Cao ◽  
J Mao ◽  
H Ching ◽  
J Yang
Keyword(s):  
Loss Function ◽  
Optimization Method ◽  
Quality Level ◽  
Tolerance Design ◽  
Quality Loss ◽  
Quality Loss Function ◽  
Proposed Model ◽  
Quality Grade ◽  
Practical Engineering ◽  
Manufacturing Time

Using the quality loss function developed by Taguchi, the manufacturing time and cost of a product can be reduced to improve the factory's competitiveness. However, the fuzziness in quality loss has not been considered in the Taguchi method. This article presents a fuzzy quality loss function model. First, fuzzy logic is used to describe the semantic of the quality, and the quality level is divided into several grades. Then the fuzzy quality loss function is developed utilizing the loss in monetary terms, which indicates the quality loss of each quality level and the normalized expected probability to each quality grade. Moreover, a new optimization model for tolerance design under fuzzy quality loss function is established. An example is used to illustrate the validity of the proposed model. The result shows that the proposed method is more flexible and can achieve the balance of quality and cost in tolerance design. It can be easily used in accordance with practical engineering applications.

Concurrent Tolerance Design System Based on Manufacturing Context

2011 ◽  
Vol 421 ◽  
pp. 634-639
Author(s):  
Yi Feng Wang ◽  
Heng Zhang ◽  
Yan Long Cao ◽  
Jiang Xin Yang
Keyword(s):  
Loss Function ◽  
Design Method ◽  
Design Model ◽  
Design System ◽  
Tolerance Design ◽  
Quality Loss ◽  
Quality Loss Function ◽  
Computer Aided ◽  
Manufacturing Resource ◽  
Manufacturing Resources

This paper introduces a computer-aided concurrent tolerance design system based on real manufacturing resources (CATFM), which can ensure the optimal robust tolerance and consider real manufacturing resource owned by the factory. Firstly, the concurrent tolerance design model which can get balance between quality and cost utilizing Taguchi's quality loss function is proposed. Then the principle of concurrent tolerancing is concisely depicted through analyzing the overall structure of the system, and the design method is described in detail. Finally, an example is adopted to illustrate the proposed system.

Methodology for tolerance design using quality loss function

1990 ◽  
Vol 19 (1-4) ◽  
pp. 254-257 ◽  
Author(s):  
Kailash C. Kapur ◽  
Shivakumar Raman ◽  
P. Simin Pulat
Keyword(s):  
Loss Function ◽  
Tolerance Design ◽  
Quality Loss ◽  
Quality Loss Function
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