robust design methodology in a generic product design process

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This article was downloaded by: [The University of Manchester Library] On: 12 October 2014, At: 05:46 Publisher: Routledge Informa Ltd Registered in England and Wales Registered Number: 1072954 Registered office: Mortimer House, 37-41 Mortimer Street, London W1T 3JH, UK Total Quality Management & Business Excellence Publication details, including instructions for authors and subscription information: http://www.tandfonline.com/loi/ctqm20 Robust Design Methodology in a Generic Product Design Process Torben Hasenkamp a , Tommy Adler a , Anders Carlsson a & Martin Arvidsson a a Department of Technology Management and Economics , Chalmers University of Technology , Gothenburg, Sweden Published online: 05 Oct 2010. To cite this article: Torben Hasenkamp , Tommy Adler , Anders Carlsson & Martin Arvidsson (2007) Robust Design Methodology in a Generic Product Design Process, Total Quality Management & Business Excellence, 18:4, 351-362, DOI: 10.1080/14783360701231294 To link to this article: http://dx.doi.org/10.1080/14783360701231294 PLEASE SCROLL DOWN FOR ARTICLE Taylor & Francis makes every effort to ensure the accuracy of all the information (the “Content”) contained in the publications on our platform. However, Taylor & Francis, our agents, and our licensors make no representations or warranties whatsoever as to the accuracy, completeness, or suitability for any purpose of the Content. Any opinions and views expressed in this publication are the opinions and views of the authors, and are not the views of or endorsed by Taylor & Francis. The accuracy of the Content should not be relied upon and should be independently verified with primary sources of information. Taylor and Francis shall not be liable for any losses, actions, claims, proceedings, demands, costs, expenses, damages, and other liabilities whatsoever or howsoever caused arising directly or indirectly in connection with, in relation to or arising out of the use of the Content. This article may be used for research, teaching, and private study purposes. Any substantial or systematic reproduction, redistribution, reselling, loan, sub-licensing, systematic supply, or distribution in any form to anyone is expressly forbidden. Terms & Conditions of access and use can be found at http://www.tandfonline.com/page/terms- and-conditions

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This article was downloaded by: [The University of Manchester Library]On: 12 October 2014, At: 05:46Publisher: RoutledgeInforma Ltd Registered in England and Wales Registered Number: 1072954 Registeredoffice: Mortimer House, 37-41 Mortimer Street, London W1T 3JH, UK

Total Quality Management & BusinessExcellencePublication details, including instructions for authors andsubscription information:http://www.tandfonline.com/loi/ctqm20

Robust Design Methodology in aGeneric Product Design ProcessTorben Hasenkamp a , Tommy Adler a , Anders Carlsson a & MartinArvidsson aa Department of Technology Management and Economics ,Chalmers University of Technology , Gothenburg, SwedenPublished online: 05 Oct 2010.

To cite this article: Torben Hasenkamp , Tommy Adler , Anders Carlsson & Martin Arvidsson (2007)Robust Design Methodology in a Generic Product Design Process, Total Quality Management &Business Excellence, 18:4, 351-362, DOI: 10.1080/14783360701231294

To link to this article: http://dx.doi.org/10.1080/14783360701231294

PLEASE SCROLL DOWN FOR ARTICLE

Taylor & Francis makes every effort to ensure the accuracy of all the information (the“Content”) contained in the publications on our platform. However, Taylor & Francis,our agents, and our licensors make no representations or warranties whatsoever as tothe accuracy, completeness, or suitability for any purpose of the Content. Any opinionsand views expressed in this publication are the opinions and views of the authors,and are not the views of or endorsed by Taylor & Francis. The accuracy of the Contentshould not be relied upon and should be independently verified with primary sourcesof information. Taylor and Francis shall not be liable for any losses, actions, claims,proceedings, demands, costs, expenses, damages, and other liabilities whatsoeveror howsoever caused arising directly or indirectly in connection with, in relation to orarising out of the use of the Content.

This article may be used for research, teaching, and private study purposes. Anysubstantial or systematic reproduction, redistribution, reselling, loan, sub-licensing,systematic supply, or distribution in any form to anyone is expressly forbidden. Terms &Conditions of access and use can be found at http://www.tandfonline.com/page/terms-and-conditions

Robust Design Methodology in a GenericProduct Design Process

TORBEN HASENKAMP, TOMMY ADLER, ANDERS CARLSSON &MARTIN ARVIDSSON

Department of Technology Management and Economics, Chalmers University of Technology,

Gothenburg, Sweden

ABSTRACT Although Robust Design Methodology is a well-established concept, many companiesare still unaware of it. The importance of variation issues is recognized but tools that can beassociated with Robust Design Methodology are applied without consideration to an underlyingframework. In other words, many companies exhibit unstructured approaches to Robust DesignMethodology. In this paper we provide some guidelines for implementing Robust DesignMethodology in a generic product design process. The different phases of a product designprocess require different tools that comply with their respective purposes. We outline availabletools and methods associated with Robust Design Methodology and give recommendations forwhere these tools can be utilized in a product design process to increase the products’ level ofrobustness. We also emphasize the importance of an awareness of variation and thinking in termsof robustness in a Robust Design Methodology context. Review questions can contribute in thesetwo respects and they can most suitably be posed at the end of the different phases of a productdesign process.

KEY WORDS: Robust design, robust design methodology, product design process, tools

Introduction

To satisfy customers, product performance should be consistently on target. This require-

ment for competitiveness is confirmed by anti-variation initiatives started during the past

two decades, most of them under the heading of Six Sigma. While there was a focus on the

manufacturing stage at the beginning of this trend, the emphasis of these anti-variation

efforts has now moved upstream, resulting in recent initiatives such as Design for Six

Sigma (Antony, 2002; Chowdhury, 2002; Mader, 2002; Tennant, 2002) and Variation

Risk Management (Thornton, 2004).

Total Quality Management

Vol. 18, No. 4, 351–362, June 2007

Correspondence Address: Torben Hasenkamp, Department of Technology Management and Economics,

Division of Quality Sciences, Chalmers University of Technology, Vera Sandbergsallee 8, Gothenburg, Sweden.

Email: [email protected]

1478-3363 Print/1478-3371 Online/07/040351–12 # 2007 Taylor & FrancisDOI: 10.1080/14783360701231294

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The sources of variation, also referred to as noise factors, are commonly divided into

three categories (Kackar, 1985; Taguchi, 1986; Phadke, 1989; Clausing, 1994; Ullman,

1997; Thornton, 2004): environmental factors including variations in the conditions of

use (external noise), deterioration including the ageing of the products (internal noise)

and variation in production (unit-to-unit noise). There are basically two possible strategies

to cope with the undesired effects of these noise factors. One approach is to eliminate

them, which is not always feasible since noise factors might be unknown, unpredictable,

expensive or even impossible to eliminate. Another approach is to design products that are

insensitive to sources of variation, which is the essence of Robust Design Methodology

(RDM).

Because it has its roots in the ideas of Taguchi’s (1986) parameter design, RDM was

first commonly regarded as a synonym to parameter design (e.g. Nair, 1992). Parameter

design seeks to find those settings of design factors that result in the least sensitivity to

noise factors – mainly by exploiting interactions between design factors and noise

factors. Today, there are different views of RDM. While some still consider it synonymous

to parameter design (Wu & Wu, 2000; Taguchi et al., 2005), others see it as a broader

concept where parameter design is one important discipline amongst others (Fowlkes &

Creveling, 1995; Park, 1996; Bergman & Klefsjo, 2003; Arvidsson & Gremyr, 2005).

In any case the ultimate goal is to create products that are insensitive to noise factors

and thus perform consistently on target. In this paper we will not limit ourselves to par-

ameter design but also include other tools and techniques that can contribute to making

a product less sensitive to noise factors.

In their survey of Swedish manufacturing companies, Arvidsson et al. (2003) found that

80% of the respondents work actively to achieve conformance between samples of the

same product. However, only 28% of these companies are familiar with RDM as a

concept. This does not necessarily imply that the companies do not use certain methods

or tools that can be associated with RDM. It might however indicate a prevalence of

unstructured approaches to RDM.

According to Clausing (1994), the traditional approach toward coping with variation

issues works with symptoms from the lack of robustness in iterations of build–test–fix

cycles with prototypes. Morup (1993) states that a company’s ultimate aim with RDM

should be its integration into the standard design procedures as a natural part and into

the mind-sets of the product developers. An important part of RDM is to think in terms

of variation: What noise factors are the products likely to encounter and how will they

affect product performance? Design review questions that focus on RDM and an aware-

ness of variation can stimulate thinking in terms of robustness and emphasize the import-

ance of mitigating the influence of noise factors.

The purpose of this paper is to provide some guidelines for implementing RDM in a

generic product design process (PDP). As the different design phases all have different

deliverables, different tools are required for each phase. We outline available tools and

methods associated with RDM and give recommendations for where these tools can be

utilized in a PDP to increase the products’ level of robustness. We further emphasize

the importance of an awareness of variation and thinking in terms of robustness in an

RDM context. We address review questions that can contribute in these two respects

and provide some general examples of these kinds of review questions.

The remainder of the paper is organized as follows. The second section contains a model

of a generic PDP that will be used as a reference for the subsequent discussions. The third

352 T. Hasenkamp et al.

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section presents different RDM tools and discusses where and how these tools can be uti-

lized in a RDM context. The paper ends with conclusions.

Product Design Process

This section describes a general scheme of a PDP that will be used as a reference in the

discussion of RDM tools and their application. Figure 1 shows four basic phases related

to a generic PDP (Pahl & Beitz, 1996): Planning and Clarifying the Task, Concept

Design, Embodiment Design and Detail Design. The Concept Design phase can be

divided into Concept Generation and Concept Screening & Improvement, as will be

further explained below.

The major deliverables connected to these four phases can be found in, for example,

Roozenburg & Eekels (1995), Ulrich & Eppinger (1995), Pahl & Beitz (1996) and

Ullman (1997). Separating the phases by gates, as indicated by the ellipses connecting

the four main phases, allows for check-ups of the ongoing PDP.

According to Pahl & Beitz (1996), Planning and Clarifying the Task should lead to a

product idea that is needed and that looks promising given the current market situation,

company needs and economic outlook. Such an idea must be at hand before a product

development project can be initiated. Ulrich & Eppinger (1995) further state that this pro-

posal must be technically feasible and that customer needs should be identified and taken

into account. Once this is achieved, Roozenburg & Eekels (1995) suggest the determi-

nation of design specifications defining the required functions and properties of the new

product.

The Concept Design phase, which results in a description of the form, function and fea-

tures of a product (Ulrich & Eppinger, 1995), essentially breaks down into two consecu-

tive components (Pugh, 1991): (1) Concept Generation; and (2) Concept Screening.

According to Thornton (2004) the Concept Generation phase results in rough design

layouts, e.g. drawings and simple prototypes with key technical choices. It is important

that many concepts with different solutions are generated. All concepts are evaluated in

a screening process. Ullman (1997) states that concepts not fulfilling customer require-

ments are screened out while the remaining concepts are further developed. Techniques

Figure 1. Four phases related to a generic product design process

Robust Design Methodology in a Generic Product Design Process 353

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for generating and evaluating concepts are used iteratively until a winning solution pro-

ceeds for Embodiment.

The Embodiment Design defines the arrangement of assemblies, components and parts,

as well as their geometrical shape, dimensions and materials. The outcome is the specifi-

cation of layout (Roozenburg & Eekels, 1995; Pahl & Beitz, 1996). Pahl & Beitz (1996)

find that several embodiment designs are often needed before a definite design can emerge.

Roozenburg & Eekels (1995) write that this implies that Embodiment involves corrective

cycles in which analysis, synthesis, simulation and evaluation constantly alternate and

complement each other. The preliminary design developed in this phase should be con-

tinuously improved in the subsequent phase.

In Detail Design the arrangements, forms, dimensions and surface properties of all the

individual parts are finally determined, the materials are specified, production possibilities

assessed, costs estimated and all the drawings and other production documents produced.

In summary, according to Pahl & Beitz (1996), the outcome of the Detail Design phase is a

specification of production. Ulrich & Eppinger (1995) remark that design of tooling and

provision of assembly instructions are also deliverables in line with this phase.

Tools and their Application in a PDP

The presentation of suitable tools and methods in an RDM context is structured according

to the generic PDP described in the previous section. Review questions emphasizing an

awareness of variation can also facilitate the fulfilment of stated deliverables. Questions

can be posed at the end of each design phase as a check for readiness to proceed to the

next design phase. Some examples of review questions will be given in the following

sections.

Planning and Clarifying the Task

The Planning and Clarifying the Task phase deals with gathering and interpreting infor-

mation about the market situation. Ullman (1997: 60) characterizes this by stating that

‘the most important part in understanding the design problem lies in assessing the

market, i.e., establishing what the customer wants in the product.’

From an RDM perspective it can be particularly interesting to investigate warranty

claims since they provide valuable information about how products are affected by

deterioration (inner noise) and customer usage (external noise). Creveling et al. (2003)

argue that warranty issues are not handled satisfactorily since the cause of failure is not

determined or, in many cases, what is reported is symptom rather than root cause. Com-

panies should make sure that warranty claims are fully utilized. It is not likely that all cus-

tomers are equally suited to provide qualified feedback. Consequently, Creveling et al.

(2003) suggest the establishment of partnerships with a few key customers and/orrepair depots and to train them to provide useful field failure information.

It is also desirable that companies do not ignore the time after the warranty period has

expired. The long-term reliability of products strongly affects products’ second-hand

value, which in turn affects how much customers are willing to pay in the first place.

Nevertheless, Creveling et al. (2003) hold that most companies have very poor routines

when it comes to gathering information from beyond the warranty period. The solution

354 T. Hasenkamp et al.

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can be the same as suggested above; establish partnerships with key customers and repair

shops and train them to provide useful information.

Target values are particularly important from an RDM perspective. In this early phase

of design, quality function deployment (QFD) can facilitate the identification of prelimi-

nary target values. Further, the work of gathering customer needs is hardly worthwhile

unless they are properly translated into product characteristics (PCs). According to

Pugh (1991), deriving PCs is a crucial part of the PDP since they constitute the objectives

and boundaries of all the subsequent design phases. Sullivan (1986) states that QFD is a

suitable system for assuring that customer needs drive the product design and production

process.

To foster the consideration of the guidelines provided, appropriate review questions can

be asked at the end of the Planning and Clarifying the Task phase:

. Do warranty claims for similar products reveal any noticeable problems or unantici-

pated conditions of use? If so, how does this affect the product’s performance?

. Which parts wear out first and why?

. Is information related to RDM from the time beyond the warranty period available?

Concept Design – Concept Generation

Ullman (1997: 120) defines a concept as ‘an idea that is sufficiently developed to evaluate

the physical principles that govern its behavior.’ Cross (1994) refers to the generation of

design solutions as an essential and central aspect of design. The Concept Design phase

requires creativity, experience and skill of the designer (Phadke, 1989; Suh, 1990), and

merely applying appropriate tools and methods does not guarantee more robust products.

Designers must be encouraged to think in terms of robustness. This is particularly true in

the Concept Generation phase where a designer – enlightened from an RDM point of view

– can possibly generate robust concepts intuitively. Supporting this, Pugh (1991: 71) notes

that ‘concepts are often best generated by individuals’, whereas the ‘concept selection and

enhancement is best performed in groups’. However, to initiate and organize individual

thinking processes, brainstorming sessions have proven to be a useful procedure (Priest

& Sanchez, 2001; Chowdhury, 2002).

Pahl & Beitz (1996) see another important source of ideas for generating new or

improved solutions in the analysis of existing technical systems, including those of

competitors. In an RDM context, benchmarking seems to be a natural move if it turns

out that, for example, competitors’ products are superior in terms of robustness. Customer

satisfaction polls indicate customers’ perceptions of different products’ reliability in terms

of conditions of use and deterioration.

To determine more accurately competitive products’ sensitivity to noise, however, they

must be subjected to testing. In this context, Bandurek et al. (1990) argue that Design of

Experiments (DoE) can be applied to set up an efficient experimental plan to identify the

combination of environmental factors that results in the maximum stress level for each

product. The result can be compared with the anticipated environment that the product

under development is likely to be exposed to. If any of the competitive products is

found to be insensitive to some interesting combinations of noise factors, an understanding

should be sought for why this is so. Aiding this understanding, Taguchi & Clausing (1990)

point out that the basic principles for designing for robustness are often indistinguishable

Robust Design Methodology in a Generic Product Design Process 355

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from the principles of designing for manufacture – reduce the number of parts, consolidate

sub-systems and integrate the electronics.

A common approach within RDM to illustrate the interplay of different parameters

affecting a product and its performance is the P-diagram (e.g. Phadke, 1989), see

Figure 2. It describes a product as an input–output model and gives the different categories

of parameters affecting it. The system response ( y) can be described as a function f, which

is determined by some input signal (M ), design factors (X ) and unwanted noise factors

(Z): f (M, X, Z ). In the ideal situation, a given input signal constantly generates identical

outputs. However, in reality, noise factors will distort the system response and cause vari-

ation in performance. The visualization of this context helps engineers to structure the

design problem and to understand the product as a system with its influential parameters.

Review questions for the Concept Generation phase should check the use of experience

from previous projects:

. Are all RDM-related ideas collected and documented in a systematic way in a cross-

functional brainstorming session with participants from development, manufacturing,

assembly, suppliers, retailers and customers?

. Has the development team made use of RDM related experience from previous pro-

jects? Have competitors’ products been taken into consideration?

. Are the factors affecting the product performance categorized according to input signal,

design and noise factors?

Concept Design – Concept Screening

The concept generation phase should result in many concepts with different solutions –

‘single solutions are usually a disaster’ (Pugh, 1991: 69). All solutions are probably not

equally well suited, which calls for a screening procedure. It is important to view the selec-

tion of concepts as a screening process where concepts are successively improved

(Ullman, 1997).

Brainstorming sessions for Concept Screening should focus on the identification of

potential noise factors. Since noise factors can originate from various stages of the

product life cycle the brainstorming team should ideally be a cross-functional mix of

representatives from product development, manufacturing, assembly, suppliers, retailers,

customers etc. The main ambition at the beginning of this stage should be to detect the

Figure 2. P-diagram

356 T. Hasenkamp et al.

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presence of potential noise factors rather than to rank them in terms of severity. Ishikawa

diagrams can facilitate the process of structuring and documenting the identification of

potential noise factors as illustrated in Figure 3, where PC refers to product characteristic

and NF refers to noise factor.

As commonly agreed, there are three different phases in a product’s life cycle where

variation in product performance can arise (Kackar, 1985; Taguchi, 1986; Phadke,

1989; Roy, 1990; Park, 1996): production (causing unit-to-unit variation), product devel-

opment (associated with inner noise) and the customer environment (causing outer noise).

This must be taken into account when potential noise factors are identified.

Pugh (1991) proposes a structured method for concept selection based on an evaluation

matrix. The concepts are visualized with, for example, sketches and are evaluated against a

list of criteria that are based on the PCs. If a number of strong concepts emerges from this

first procedure (Phase I), Pugh (1991) suggests further developing them to a higher level

and going into a second evaluation phase. Phase II is similar to Phase I in its procedure, but

a revised list of evaluation criteria is used since the designs are more detailed. Con-

sequently, the concept selection technique provided by Pugh supports the idea of develop-

ing several concepts concurrently. From an RDM perspective it seems natural to

incorporate questions related to robustness into these criteria.

However, the scarceness of detailed and quantitative information at this early stage of

the design process calls for qualitative approaches for concept evaluation. Failure Mode

and Effect Analysis (FMEA), for example, is in fact a widespread method for reducing

variation. Nevertheless, FMEA is a failure-oriented approach and might not be ideal for

evaluating different concepts’ sensitivity to noise factors.

In Johansson et al. (2004) Variation Mode and Effect Analysis (VMEA) is presented as

a variation-oriented tool to systematically look for noise factors affecting key product

Figure 3. Ishikawa diagram to structure the identification of noise factors (PC – productcharacteristics, NF – noise factor)

Robust Design Methodology in a Generic Product Design Process 357

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characteristics (KPCs). According to Thornton (2004: 35) ‘a key [product] characteristic is

a quantifiable feature of a product or its assemblies, parts, or processes whose expected

variation from targets has an unacceptable impact on the cost, performance, or safety of

the product.’ Each KPC can be further divided into a number of sub-KPCs, which are

defined as the key varying elements that significantly contribute to the variability of the

KPCs. A VMEA results in Variation Risk Priority Numbers (VRPNs) that give an estimate

of the portion of variation contributed by each sub-KPC to the KPC. Furthermore, noise

factors that have been identified are also attributed a VRPN, ranking them in terms of

severity with respect to variation. VMEA can be used to evaluate and compare different

concepts in their early stages with respect to robustness.

In Andersson (1996) a semi-analytic method for achieving conceptual robustness, based

on the error transmission formula, is proposed. The approach serves as a method to

compare different concepts’ attainable level of robustness and is only valid under

certain assumptions; for further information see Andersson (1996). Andersson (1997)

further suggests the evaluation of concepts against design principles in order to explore

their robustness in the Concept Design phase, while Pahl & Beitz (1996) see the benefits

of design principles in the Embodiment phase. There is however no contradiction in uti-

lizing design principles in both the Concept and the Embodiment phases. In this paper we

present a selection of design principles in the Embodiment phase (see next section), but at

the same time we encourage designers to evaluate concepts’ robustness against these prin-

ciples as early as possible – already in the Concept phase if feasible.

Another approach related to the one presented by Andersson (1997) is to evaluate and

develop concepts according to the principles of axiomatic design. Axiomatic design con-

sists of two axioms and a number of corollaries (Suh, 1990). According to the first axiom,

the independency axiom, design factors and PCs are related such that specific design

factors can be adjusted to satisfy their corresponding PCs without affecting other PCs

(Suh, 1990). Following the independency axiom does not necessarily generate robust

designs. However, it lays the foundation for a successful setting of design factors. Natu-

rally it seems more straightforward to optimize the settings of design factors if they do

not affect several product characteristics simultaneously. Review questions for Concept

Screening could be of the following types:

. Are the key product characteristics defined?

. How sensitive is the concept to different customer environments (e.g. weather, sweaty

hands, treatment, etc)?

. Are there potential sources of variation in production and/or assembly?

. Are all potential noise factors identified and ranked in terms of severity?

Embodiment

In Embodiment, the design is more detailed, which facilitates more accurate analyses of

RDM alternatives. Regardless of whether the evaluation process is based on mathemat-

ically derived transfer functions, computer simulations or physical prototypes – from

an RDM perspective, the essence should be to understand the interactions between

noise factors and corresponding design factors. For this reason noise factors need to be

identified and key product characteristics must be defined.

358 T. Hasenkamp et al.

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This identification process can – as described in the previous design phase – be

supported by VMEA, which indicates where further investigations are most appropriate.

VMEA is, however, merely a problem identifier and not a problem solver. To mitigate

KPCs’ sensitivity to noise, consideration of certain design principles can be of guidance

(e.g. Suh, 1990; French, 1994; Pahl & Beitz, 1996; Andersson, 1997). Pahl & Beitz

(1996) emphasize that problems are introduced and breakdowns or accidents may occur

if design principles are ignored. According to Pahl & Beitz (1996) all principles and guide-

lines can be condensed to the fundamentals of clarity, simplicity and safety.

Clarity entails unambiguous relationships between sub-functions, and appropriate

inputs and outputs must be guaranteed. In Andersson (1997) simplicity of a solution

implies fewer possible ways for noise to enter the system. Hence, a less complex solution

has inherent robust qualities that facilitate the identification of potential noise factors in

advance. The safety principle addresses issues related to strength, reliability, accident pre-

vention and protection of the environment (Andersson, 1997). In Pahl & Beitz (1996) the

safety principle involves clear specifications of operating conditions and environmental

factors and analysis of components or systems to determine their durability when they

are overloaded or subjected to adverse environmental impacts. All these objectives con-

tribute to an approach to a more robust PDP.

As the design is further developed it is possible to use prototypes to evaluate product

performance. Bergman & Klefsjo (2003) note that well-planned experiments can

provide rapid knowledge of the values that have to be chosen for design and process par-

ameters. By applying DoE to prototypes, interactions between design factors and noise

factors can be investigated and the level of robustness of different design solutions can

be evaluated. However, prototypes are expensive, which implies that other evaluation

methods should be utilized as much as possible, such as computer simulation, unless

the cost of alternative methods exceeds the cost of designed experiments.

In this phase, the designer can particularize some of the results from the previous design

phase, e.g.:

. Can more, hitherto unknown, noise factors be identified? Which ones are of the most

importance with respect to KPCs?

. Are design principles taken into account and guidelines followed?

. Have experiments been planned and designed appropriately (DoE)?

Detail Design

Pugh (1991) characterizes Detail Design as being concerned with the design of the sub-

systems and components that together make up the whole design. It can be seen as an

optimization phase in which the design should be close to finalized.

Parameter design can be used to increase the product’s insensitiveness to noise factors

by identifying optimal settings of design factors (Taguchi et al., 2005). It is based on the

functional relationship between the design factors (X ), the noise factors (Z ), the input

signal (M ) and the response variable ( y). Optimal settings lead to low sensitivity of the

product’s performance to noise factors. Kackar (in Nair, 1992) summarizes the prerequi-

sites of parameter design with the existence of interactions between noise factors and

design factors and the ability of engineers to identify the factors involved in such

interactions.

Robust Design Methodology in a Generic Product Design Process 359

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The ambition is to find parameter settings that minimize the effects that noise factors (Z)

have on the response variable ( y), i.e. to prevent variation from propagating through the

technical system and causing undesired variation in product performance. This can be

achieved by exploiting possible nonlinear relations between the design factors and the

response variables (e.g. Box & Fung, 1994). Parameter design can be carried out using

a number of methods that are all based on the transfer function f (M, X, Z).

Theoretical or mathematical models that can describe the transfer function are often not

available (e.g. Toutenburg et al., 1998). Consequently, empirical models based on

designed experiments are often employed to explain the cause-and-effect relationships.

On the other hand, designed experiments can dramatically improve the statistical accuracy

of simulation results and facilitate the statistical analysis, as shown by, for example, Wild

& Pignatiello (1991).

In the stage after parameter design, tolerance specifications must be determined for all

parts and components. If the result achieved after parameter design is not satisfactory and

the performance variation is still too high, tolerance design can be applied. According to

Clausing (1994) tolerance design always involves a trade-off: if more precision is desired,

it must be paid for. In fact, tolerance design is a trade-off between reduction in perform-

ance variation and increased manufacturing cost. Taguchi (1993) suggests that a quadratic

loss function can be used to specify tolerance limits. The approach aims to choose the tol-

erance limits such that the overall cost, i.e. the sum of the customer loss caused by devi-

ation from the target and the cost to the manufacturer associated with variation reduction,

is minimized. More information about how the quadratic loss function can be deployed in

tolerance design can be found in, for example, Taguchi (1993), Clausing (1994) and

Taguchi et al. (2005).

It should be noted that an inappropriate parameter design can hardly – if at all – be

compensated for by tighter tolerances or higher-grade parts etc. Review questions

should highlight the awareness of variation and check the level of understanding that

the designers have concerning the respective transfer function:

. Is the transfer function estimated in a systematic way?

. Are design factors optimized with respect to variation transmission?

. Are tolerances specified in a systematic way?

Conclusions

RDM should be initiated early in the PDP since this is where the foundation of the design

is laid – as, for example, Andersson (1997) and Ford (1996) argue. Tools and methods are

necessary aids in RDM but cannot automatically generate a robust design. Important

drivers for implementing RDM are an awareness of variation and thinking in terms of

robustness. The identification of potential noise factors and an assessment of their

impact on product performance are particularly important early in design, where the use

of quantitative methods is limited. Later on, when more detailed design information is

available, the transfer function should be estimated and, on the basis of this estimation,

optimal parameter settings should be determined. Depending on the situation, different

tools and methods are available to achieve this. When no mathematical model can be

built, designed experiments on prototypes can deliver an empirical model.

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Review questions asked at the end of each design phase can increase the awareness of

variation and also support the use of RDM by assuring that stated deliverables are fulfilled.

In addition, they can stimulate thinking in terms of robustness. Review questions can be

used at both pre-arranged review meetings between the design phases and in informal

design meetings in the corridor or at the coffee machine.

Acknowledgements

We want to acknowledge the financial support of EURobust – an IMS project supported

by the European Commission – and SKF, the Swedish bearing manufacturing company.

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