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1
As Class Convenes
Find your team Sign attendance form Insert any work due today
and Return folder to the front
desk
2
Session Agenda Evaluating
Alternatives 40 min Working on Project
(review of somenotebook work) 35 min
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Learning Objective
Achieve awareness of the differences between Relative Ratings and Absolute Ratings in completing Scoring Tables (Matrices)
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Sample Scoring Table
Cri
teri
a W
eigh
ts
Concept 1
Concept 2
Concept 3
Criteria ACriteria BCriteria C
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Determining Ratings: The Text Book Says
Use relative comparisons Use a simple rating scale
1 = much worse than reference
to
5 = much better than reference
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Problems With Relative Rating
Scale Compression– if reference concept is the best
relative to criterion 1, what rating values are available for criterion 1?
– only 1 (much worse), 2 (worse) & maybe 3 (same)
Not rigorous for non experts
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In Some Cases We Can Do Better
Use absolute instead of relative rating of concepts
Use engineering science to predict the values of the criteria for the concepts
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The Weighted Objectives Method [1]
List Design Objectives Rank-order the list Assign Relative weights to
objectives Establish performance parameters
or utility scores for each objective Calculate relative utility values for
alternatives
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Reference for Today’s Material
[1] N. Cross, “Evaluating Alternatives,” in Engineering Design Methods, Chichester, John Wiley and Sons, 1989, pp. 101-121.
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1. List Design Objectives Decision requires criteria
(objectives) Includes:– Technical factors– Economic factors– User requirements– Safety requirements– Etc.
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2. Rank-order Objectives
Individual: Ordered set of note cards to indicate relative importance
Team: pair wise comparison matrix or table
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Pairwise Comparison
A B C
A
B
C
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Pairwise Comparison
A B C
A 1
B 0
C
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Pairwise Comparison
A B C
A 1 1
B 0
C 0
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Pairwise Comparison
A B C
A 1 1
B 0 1
C 0 0
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2. Rank-ordering continued
Order established The ordering is an ordinal
scale Ordinal scales should not be
used in arithmetical operations
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3. Assign Relative Weightings to Objectives
Use rank ordering to spread out along a 1 to 10 scale
Assign a fixed number of points, say 100) among the objectives
Utilize an Objectives Tree
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Example Objectives Tree
G1
1.0 1.0
G11
0.5 0.5
G12
.25 .25
G13
.25 .25
ManufacturingCost
AestheticallyPleasing
LongLasting
G111
0.6 0.3
G112
0.4 0.2Cost of Materials
Cost of Assembly
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3. Assign Relative Weightings Continued
The relative weightings are an interval value scale
Interval value scales can be used in arithmetic operations
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4. Establish Utility Scores for Objectives
Need to convert objectives into things measured (metrics)
Establish a scale to define what is good; what is bad
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Two Sample Scales11 Pt Scale Meaning 5 Pt Scale Meaning
0 Total useless 0 Inadequate1 Inadequate
2 Very poor 1 Weak3 Poor
4 Tolerable
5 Adequate 2 Satisfactory6 Satisfactory
7 Good 3 Good8 Very good
9 Excellent 4 Excellent10 Perfect
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Scale for Car ObjectivesScale Fuel Consumption
(miles/gal)Comfort
0 <27 Very uncomfortable
1 29 Poor Comfort
2 32 Below Average Comfort
3 35 Average Comfort
4 38 Above Average Comfort
5 41 Good Comfort
6 >43 Extremely Comfortable
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Figure 1 - Linear Mapping of Mass Into Rating
0
1
2
3
4
5
0 20 40 60 80 100 120 140mass (g)
Rat
ing
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Figure 2 Non-linear Mapping of Mass Into Rating
0
1
2
3
4
5
0 20 40 60 80 100 120 140mass(g)
Rat
ing
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Figure 3 Non-linear Mapping of Mass Into Rating
0
1
2
3
4
5
0 20 40 60 80 100 120 140mass(g)
Rat
ing
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Calculate Relative Utility Values for Alternatives
Review Figure 62 on handout Notice untility scores for each
concept fragment and each objective (upper left corner, see Notes for meaning)
Which concept(s) is the winner?
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Comments on Notebook Assessment
None of the Notebooks received at least a Meets for TA5 even though there was evidence of much work being done
Most assessments for IA8 were meets but there were some E’s and a few NI’s
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Notebook Assessment Continued
The notebook work (TA5 & IA8) is the one body of work that can be reassessed as M or E independent of the first assessment
I will log in the best assessment received for TA5 and IA8