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22-Mec-B5 Product Design and Development · December 2018

Question 5 of 7: Designing a new product versus refining an existing one

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

Notes on this paper

Paper format. National Exams, December 2018 — 16-Mec-B5 Product Design and Development. Three hours; OPEN BOOK; an approved Casio or Sharp calculator is permitted. Question 1 is compulsory and carries 40 marks; four of the six remaining questions are attempted at 15 marks each, for a total of 100 marks. The paper prints 40 + 6 × 15 = 130 marks against the 100 that are attempted. All seven questions are solved here. Most questions call for an essay answer or the use of tables, figures and charts, and clarity and organisation of the answer are explicitly marked.

Reference texts for 22-Mec-B5 Product Design and Development. K. T. Ulrich and S. D. Eppinger, Product Design and Development (the framework text for this syllabus); G. E. Dieter and L. C. Schmidt, Engineering Design; G. Pahl and W. Beitz, Engineering Design: A Systematic Approach; G. Boothroyd, P. Dewhurst and W. Knight, Product Design for Manufacture and Assembly; M. F. Ashby, Materials Selection in Mechanical Design; S. Kalpakjian and S. R. Schmid, Manufacturing Engineering and Technology; R. G. Cooper, Winning at New Products. Canadian context is taken from CSA Z412 Office Ergonomics, CSA B651 Accessible Design for the Built Environment, ANSI/BIFMA X5.1 General-Purpose Office Chairs, the Canadian Intellectual Property Office guides, and the Engineers and Geoscientists BC Code of Ethics.

How this paper is answered. Every question on this sitting is descriptive, so the answers are written as engineering prose. Where a claim can be settled with a number rather than asserted — how many people a chair actually fits, how many stations a line needs, whether a warranty improvement is real, which assembly route is cheapest — the calculation is set out with its Given and Find so the reasoning can be checked. That is a deliberate exam tactic as well as good practice: this paper explicitly rewards "the use of tables, figures and charts", and a quantified assertion is the hardest kind to argue with.

Question 5: Designing a new product versus refining an existing one (15 marks)

Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.

Part A — Comparison of the two design processes

The difference is not one of degree. In a new-product programme the problem itself is an output of the early work, whereas in a refinement programme the problem arrives already defined by field data. Everything else follows from that.

The designer of a genuinely new product begins with opportunity identification and user research, because there is no incumbent whose failures can be counted. The research must run to saturation rather than to a schedule, since the object is to discover the set of needs rather than to measure a known one. Concept generation is broad and the architecture is a free variable: how functions are allocated to physical elements, what is integral and what is modular, what is made and what is bought, are all open. Selection is made under real uncertainty, so the process is staged, with cheap experiments placed against the riskiest assumptions first, and a high proportion of concepts is expected to be killed. There is no baseline, so progress is measured against a hypothesis.

The designer refining an existing product begins with a Pareto analysis of warranty claims, returns, service records, reviews and manufacturing scrap. The architecture is frozen and the change set is bounded by carry-over: existing tooling, an existing supply base, an existing service network and, often, a requirement for interchangeability with parts already in the field. The dominant risk is not that the idea is wrong but that the change breaks something adjacent, so regression testing consumes a large share of the effort. The compensating advantage is decisive: a baseline exists, so any claimed improvement can be measured rather than argued.

New-product design: diverge, then convergeRefinement: bounded loop on a frozen architecturediscover24 interviewsto saturationdevelopconcepts, thenone architecturedefine(the problem is an output)- problem unknown- architecture free- no baseline to measure- gate on ECV = 1.19 M, PI = 1.92field datachange setverify vs baselineregression checkfrozenarchitecture- problem given by warranty Pareto- carry-over constrains the change set- baseline exists: two-proportion z = 4.00- gate on ECV = 1.03 M, PI = 11.39Six times the productivity index on 86 per cent of the value: ranking a portfolio on PI alone starves new-product work.
Figure 5.1 — Two different shapes of process. The new-product programme diverges before it converges and treats the problem statement as an output; the refinement programme is a bounded loop around a frozen architecture, closed by measurement against a baseline.
DimensionTotally new productRefinement of an existing product
Source of the problemDiscovered through user research; the definition is an outputGiven by field data: warranty, returns, service, reviews, scrap
ArchitectureA free variable; function allocation and modularity are openFrozen; carry-over of tooling, supply base and service parts constrains the change set
Dominant uncertaintyWhether the need and the concept are rightWhether the change breaks something adjacent (regression)
Concept generationBroad, many alternatives, most killedNarrow, targeted at named defects and named cost lines
PrototypingMany cheap, low-fidelity models aimed at the riskiest assumptionFewer, high-fidelity models on production-representative tooling
Reference for successA hypothesis; no baseline existsThe incumbent product; every claim is a measured delta
Failure rate expectedHigh, and managed by staging the spendLow, and managed by validation coverage

Part B — Differences in how the process is guided

The new-product process is guided by a product vision and a mission statement — the target market, the value proposition, the assumptions and the constraints — and then by staged economic gates that decide whether to keep spending. The guide is a hypothesis to be tested, and it is expected to change. The refinement process is guided by a prioritised defect and cost list: a ranked account of what the product is doing wrong in the field and what it costs, plus a carry-over rule that states what may not change. The guide is a target and it is expected to hold.

The sample sizes that steer the two are different in kind, and confusing them is a common and expensive error.

Given. In discovery, each interview is assumed to surface any given issue type with probability $p = 0.12$, and 95 per cent coverage of the issue types is required. In refinement, an incidence must be estimated to within $\pm 3.5$ percentage points at 95 per cent confidence, with no prior estimate of the proportion. Find. The sample size each activity needs.

02040608010095 pct coverage targetn = 24 : 95.3 pctn = 30 : 97.8 pct0510152025303540Number of discovery interviews nCoverage (pct of issue types seen)
Figure 5.2 — Discovery converges quickly and then flattens. The 24th interview takes coverage to 95.4 per cent; six more buy only 2.4 further points, which is the quantitative form of the familiar twenty-to-thirty rule of thumb.
  1. Size the discovery sample for coverage, not for precision. If each interview independently reveals an issue with probability $p$, the chance an issue is still unseen after $n$ interviews is $(1-p)^n$, so the sample needed for coverage $C$ is $$n = \frac{\ln(1-C)}{\ln(1-p)} = \frac{\ln 0.05}{\ln 0.88} = \frac{-2.9957}{-0.1278} = 23.4 \Rightarrow \boxed{n = 24\ \text{interviews}}$$
  2. Check the marginal return, which is what tells you when to stop. Coverage at 24 interviews is $1-0.88^{24} = 95.4\ \%$ and at 30 it is $97.8\ \%$: six more interviews, at perhaps a week of calendar time, buy 2.4 points. That flattening is what saturation means, and it is the reason discovery is stopped by a curve rather than by a budget.
  3. Size the refinement sample for precision, because a baseline already exists. Here the question is not what exists but how big it is, so the binomial precision formula governs, with $p = 0.5$ as the conservative worst case: $$n = \frac{z^{2}\,p(1-p)}{E^{2}} = \frac{1.96^{2}(0.25)}{0.035^{2}} = \boxed{784\ \text{respondents}}$$
  4. Note the ratio and what it means for guidance. Discovery needs 24 conversations and measurement needs 784 responses — a factor of thirty-three — because they answer different questions. Running 784 surveys to discover needs is expensive and still misses the unarticulated ones; running 24 interviews to size an incidence produces a number with a confidence interval so wide it cannot guide anything.

Part C — Differences in how the process is assessed

The new-product process is assessed against learning and staged economics: has the riskiest assumption been tested, did the concept survive, and is the expected commercial value still positive given what the next stage will cost? Sales cannot be the measure, because there are none. The refinement process is assessed against the baseline, with a statistical test, because the whole point of refining is that the improvement can be demonstrated.

Given. A design change intended to reduce warranty returns. Before the change, 377 claims from 6 500 units shipped; after it, 310 claims from 7 200 units. Find. Whether the reduction is real.

  1. Compute the two rates and the pooled estimate. $\hat p_1 = 377/6\,500 = 0.05800$ and $\hat p_2 = 310/7\,200 = 0.04306$, a reduction of 1.49 percentage points; under the null hypothesis of no change the pooled proportion is $\bar p = 687/13\,700 = 0.050146$.
  2. Form the two-proportion test statistic. $$z = \frac{\hat p_1 - \hat p_2}{\sqrt{\bar p\,(1-\bar p)\left(\frac{1}{n_1}+\frac{1}{n_2}\right)}} = \frac{0.014944}{0.0037339} = \boxed{4.00}$$ with a one-sided $p$-value of about $3.1 \times 10^{-5}$, so the improvement is real at any conventional level.
  3. State what the test does not cover. The metric and the sample size must be fixed before the data are seen, or the analysis becomes a search for a favourable comparison; and the two populations must be comparable, since a shift in the customer mix or in the season would move the incidence without any design change at all. Assessment without those controls measures the market and reports it as engineering.

For the new-product programme the corresponding instrument is the stage-gate expected commercial value, which prices the remaining uncertainty explicitly:

$$\begin{aligned} ECV &= \left[(PV \times P_{cs}) - C\right]P_{ts} - D \\ PI &= \frac{ECV}{D} \end{aligned}$$

Evaluating it for the two programmes side by side makes the contrast concrete. For the new product, with a commercial value of CAD 4.80 M, a probability of commercial success of 0.70, remaining commercialization cost of CAD 1.10 M, a probability of technical success of 0.80 and remaining development cost of CAD 0.62 M:

$$ECV_{\text{new}} = \left[(4.80)(0.70) - 1.10\right](0.80) - 0.62 = \boxed{\text{CAD } 1.188\ \text{M}}, \quad PI = 1.92$$

For the refinement, with CAD 1.40 M of value, 0.95 commercial and 0.97 technical probability, CAD 0.18 M of commercialization cost and only CAD 0.09 M of development cost:

$$ECV_{\text{ref}} = \left[(1.40)(0.95) - 0.18\right](0.97) - 0.09 = \boxed{\text{CAD } 1.026\ \text{M}}, \quad PI = 11.39$$

The refinement creates about 14 per cent less value on a productivity index almost six times higher. That is the structural reason portfolios drift towards incremental work: ranked on productivity alone, refinement wins every time, and a company that ranks that way will have no new products in five years. The correct response is to assess the two streams in separate buckets with separate budgets, not to pretend they are commensurable.

QuantityResult
Discovery interviews for 95 per cent issue coverage at p = 0.1224
Coverage at 24 interviews / at 30 interviews95.4 per cent / 97.8 per cent
Survey sample for ±3.5 points at 95 per cent confidence784
Warranty incidence before / after5.800 per cent / 4.306 per cent
Two-proportion test statisticz = 4.00 (one-sided p ≈ 3.1 × 10−5)
New-product ECV and productivity indexCAD 1.188 M, PI = 1.92
Refinement ECV and productivity indexCAD 1.026 M, PI = 11.39