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Quantitative Design Tools
Decision Matrices in Engineering Design of Innovative Technology




                       Option 1     Option 2         Option 3   …   Weight
        Criterion A        ++            -              0       …     …
        Criterion B         1            5              3       …     …
        Criterion C     0.1 m/s       0.4 m/s        0.03 m/s   …     …
        …                  …             …              …       …     …
        Score              …             …              …       …



ir Urjan Jacobs

10 May 2010

                                                                             1




Biotechnology and Society - TNW & Philosophy - TPM
Contents

  Quantitative Design Tools

  •     Innovative conceptual design
  •     Case study & matrix methods
  •     Methodological problems
  •     Examples of issues
  •     A way forwards


May 20, 2010                           2
Innovative technology

               Engineering design of a
               system with a new concept
                 Nanotechnology

                 Biotechnology

                 Chemical technology




May 20, 2010                               3
The conceptual design phase

                Problem definition


                Concept generation


               Evaluation & selection


                  Detailed design
May 20, 2010                            4
Case studies
 Conceptual Process/Product Design


(bio)chemical
 engineering          MSc students
                      PDEng trainees




                  10-12 working weeks

May 20, 2010                            5
Case studies
 Research methods




        Observations of design team
        Following meetings
        Analysing design documents
        Semi-structured interview




May 20, 2010                          6
Quantitative design tools

    Decision matrix methods
    Quality function deployment
    Pair-wise comparison charts
    Analytic Hierarchy Process




May 20, 2010                      7
Matrix methods
 Multi-criteria decision analysis




Decision matrix
                                          Solution m
                         rid                        atrix
               lect ion g
          Se
                                 Decision grid

May 20, 2010                                                                          8


Note: Multi-attribute value theory (MAVT) and multi-attribute utility theory (MAUT)
have a very different starting point.
Arrowian impossibility theorem

Considering a finite number of evaluation criteria and at
least three alternative design concepts, no method can
simultaneously satisfy:
    Global rationality                                              theory
                                                             Voting
•
•   Unrestricted scope
•   Independence of irrelevant concepts
•   Weak pareto principle
•   Non-dominance

                Social choice theory
May 20, 2010                                                             9


K.J. Arrow, Journal of Political Economy 58, 1950, 328-346
A. Hylland, Econometrica 48, 1980, 539-542
Source of the issues

  Commensurability of criteria
  • Measurability
        (scale of measurement)

  • Comparability
        (relation between measures)




May 20, 2010                          10
Measurability

   Scale Type         Admissible Transformation   Example

   Nominal            One to one                  Labels

   Ordinal            Monotonic increasing        Mohs scale

   Interval           Positive linear             Celsius scale

   Ratio              Positive similarities       Miles scale



                                           Unknown to Engineers

May 20, 2010                                                      11


S.S. Stevens, Science 103, 1946, 677-680
Comparability

  Trade-off relation between measures
  • Value comparability
                                                 Revenues
  • Technical comparability
                                                                     e
                                                                 tu r
                                    Safety                  p era
        Pr o d                                          t em
              uctio                               tor
                      n vol
                              ume            R eac

     Reliability
                                         Sustainability

May 20, 2010                                                         12
Other issues



  Uncertainty
  • Setting up of full set criteria.
  • Independent criteria.
  • Assigning performance ratings.
  Design concepts not at same level of abstraction
  Weights dependant on concept performance

May 20, 2010                                     13
Example: Weighted objectives
 Convincing the design engineers



                   Option 1     Option 2            …        Option n       Weight

    Criterion 1 Performance11 Performance12         …       Performance1n     w1
                                                                              w2
    Criterion 2 Performance21 Performance22         …       Performance2n

           …          …             …               …            …            …

    Criterion m Performancem1 Performancem2         …       Performancemn    wm

         Score        S1            S2              …            Sn

                                         m
                              Sj =       ∑w
                                         i =1
                                                i   ⋅ Pij

May 20, 2010                                                                         14
Grading issue

  Criteria           Weight       Option 1   Option 2    Option 3
  Yield              1               2          3           1
  By-products        1               3          1           2
  Safety             1               2          3           1
  Controllabity      1               2          3           1
  Revenues           1               3          1           2
  Score                             12          11          7
  Grade: 1=worst, 2=neutral, 3=best.




                                               Criteria           Weight       Option 1   Option 2   Option 3
                                               Yield              1               2          5          1
                                               By-products        1               5          1          2
    Change grading                             Safety
                                               Controllabity
                                                                  1
                                                                  1
                                                                                  2
                                                                                  2
                                                                                             5
                                                                                             5
                                                                                                        1
                                                                                                        1
         (best 3 5)                            Revenues           1               5          1          2
                                               Score                             16         17          7
                                               Grade: 1=worst, 2=neutral, 5=best.




May 20, 2010                                                                                                15
Weighting issue

 Criteria           Weight       Option 1   Option 2     Option 3
 Yield              0.1             3          2            1
 By-products        0.3             1          3            2
 Safety             0.2             3          1            2
 Controllabity      0.3             3          2            1
 Revenues           0.1             1          2            3
 Score                             2.2        2.1          1.7
 Grade: 1=worst, 2=neutral, 3=best.




                                               Criteria           Weight       Option 1   Option 2   Option 3
                                               Yield              0.07             3         2           1
                                               By-products        0.36             1         3           2
  Change weighting                             Safety
                                               Controllabity
                                                                  0.14
                                                                  0.36
                                                                                   3
                                                                                   3
                                                                                             1
                                                                                             2
                                                                                                         2
                                                                                                         1
    (0.07; 0.14; 0.36)                         Revenues           0.07             1         2           3
                                               Score                             2.14      2.22        1.64
                                               Grade: 1=worst, 2=neutral, 3=best.




May 20, 2010                                                                                                16
Buridan's paradox

  Criteria           Weight       Option 1   Option 2   Option 3
  Yield              0.1             3          2          1
  By-products        0.3             2          3          1
  Safety             0.2             1          2          3
  Controllabity      0.3             2          1          3
  Revenues           0.1             3          2          1
  Score                              2          2          2
  Grade: 1=worst, 2=neutral, 3=best.




           No rational choice …




May 20, 2010                                                       17


Aristotle, De Caelo II (On the Heavens), 350 BC
Irrelevant alternative issue

 Criteria           Weight       Option 1   Option 2    Option 3       Option 4
 Yield              1               4          3           2              1
 By-products        1               2          4           3              1
 Safety             1               4          2           1              3
 Controllabity      1               4          2           1              3
 Revenues           1               2          4           3              1
 Score                             16          15          10             9
 Grade: 1=worst, 2=poor, 3=fine, 4=best.




                                             Criteria           Weight       Option 1   Option 2   Option 3
                                             Yield              1               3          2          1
                                             By-products        1               1          3          2
                                             Safety             1               3          2          1
                                             Controllabity      1               3          2          1
                                             Revenues           1               1          3          2
Remove/not consider                          Score                              11        12          7
   poor option                               Grade: 1=worst, 2=neutral, 3=best.




 May 20, 2010                                                                                                 18
Traded-away criteria


  Criteria           Weight       Option 1     Option 2     Option 3
  Yield              1               1            2            3
  By-products        1               3            2            1
  Safety
  Controllabity
                     1
                     1
                                     1
                                     3
                                                  2
                                                  1
                                                               3
                                                               2                        Biased on
  Revenues           1               2            3            1
  Sustainability
  Score
                     1               3
                                    13
                                                  2
                                                  12
                                                               1
                                                              11
                                                                                        sustainability
  Grade: 1=worst, 2=neutral, 3=best.
                                                                                        criterion.


               Condorcet distortion

May 20, 2010                                                                                         19


M. J.A.N. de Caritat Condorcet, Essai sur l'application de l'analyse à la probabilité
     des décisions rendues à la pluralité de voix, Paris 1785.
How to proceed?


               Many designers utilize
                decision matrices.



                         What is their use
                           if not to find
                         the best option?

May 20, 2010                                 20
Assessment of design tools

               Theories of truth
Consistent
               • Coherence
with rules
                                      Checked
               • Correspondence       by facts
               • Pragmatic

               • …
                     Facilitate obtaining goals

May 20, 2010                                 21
Pragmatic goals in design practice

 Goals of matrix methods
 • Structuring problem
 • Supports communication
 • Enhance creativity




May 20, 2010                           22
Problem structuring

  Ill-structured design problem
  • No criterion to decide the best solution
  • Not well defined solution space
  • No normative framework available


                                   Co-evolution of
                                 problem & solution


May 20, 2010                                     23
Facilitating communication

     Visual summary
     Show alternative concepts
     Converting requirements
     Judgement on performances
     Supports debate on the choice

                                        CSTR   Feb-batch   Batch
                          Yield          -        +         ++
                          By-products    +         0        --
                          Safety         +        ++         -
                          Revenues       +         -         0


May 20, 2010                                                     24
Creativity enhancement


                 Option 1        Option 2   Option 3   Option 4   Option 5   Option 6

Criterion A           +              D         +         ++          +          -

Criterion B          ++              A        ++          +          -          --

Criterion C           +              T         0          +          0          +

Criterion D            0             U         -          --        ++          0

Criterion E           +              M         +          -          --         --




May 20, 2010                                                                         25


Controlled convergence method
S. Pugh, Total Design, Harlow 1991
Conclusion

                 Option 1   Option 2   Option 3   Option 4   …
   Criterion A      +          -          +          0       …
   Criterion B     ++         ++          +          -       …
   Criterion C      0          -          --        ++       …
   Criterion D      +          +          -          --      …
   …                …          …          …          …       …




           Keep using the matrix
           Hold all options & criteria
           Never calculate a decision

May 20, 2010                                                     26
Further research

  Midstream modulation
  • Collaboration with designers
  • Stimulate awareness
  • Motivate to discuss ‘soft’ issues
  • Safety, sustainability, robustness




May 20, 2010                             27
Many thanks!




  PDEng trainees
  MSc students
  Supervisors & Clients



May 20, 2010              28
Quantitative Design Tools
Decision Matrices in Engineering Design of Innovative Technology


                     Option 1      Option 2      Option 3   Option 4   Option 5

    Criterion A            +           D             ++        0          --

    Criterion B         ++              A            -         +          -

    Criterion C            +            T            0         +          0

    Criterion D            0            U            -         --        ++

     Criterion E           +           M             +         -          -


ir. Urjan Jacobs
t: +31 (0)15 278 6626
e: j.f.jacobs@tudelft.nl

                                                                                  29




Biotechnology and Society - TNW & Philosophy - TPM

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Quantitative Design Tools

  • 1. Quantitative Design Tools Decision Matrices in Engineering Design of Innovative Technology Option 1 Option 2 Option 3 … Weight Criterion A ++ - 0 … … Criterion B 1 5 3 … … Criterion C 0.1 m/s 0.4 m/s 0.03 m/s … … … … … … … … Score … … … … ir Urjan Jacobs 10 May 2010 1 Biotechnology and Society - TNW & Philosophy - TPM
  • 2. Contents Quantitative Design Tools • Innovative conceptual design • Case study & matrix methods • Methodological problems • Examples of issues • A way forwards May 20, 2010 2
  • 3. Innovative technology Engineering design of a system with a new concept Nanotechnology Biotechnology Chemical technology May 20, 2010 3
  • 4. The conceptual design phase Problem definition Concept generation Evaluation & selection Detailed design May 20, 2010 4
  • 5. Case studies Conceptual Process/Product Design (bio)chemical engineering MSc students PDEng trainees 10-12 working weeks May 20, 2010 5
  • 6. Case studies Research methods Observations of design team Following meetings Analysing design documents Semi-structured interview May 20, 2010 6
  • 7. Quantitative design tools Decision matrix methods Quality function deployment Pair-wise comparison charts Analytic Hierarchy Process May 20, 2010 7
  • 8. Matrix methods Multi-criteria decision analysis Decision matrix Solution m rid atrix lect ion g Se Decision grid May 20, 2010 8 Note: Multi-attribute value theory (MAVT) and multi-attribute utility theory (MAUT) have a very different starting point.
  • 9. Arrowian impossibility theorem Considering a finite number of evaluation criteria and at least three alternative design concepts, no method can simultaneously satisfy: Global rationality theory Voting • • Unrestricted scope • Independence of irrelevant concepts • Weak pareto principle • Non-dominance Social choice theory May 20, 2010 9 K.J. Arrow, Journal of Political Economy 58, 1950, 328-346 A. Hylland, Econometrica 48, 1980, 539-542
  • 10. Source of the issues Commensurability of criteria • Measurability (scale of measurement) • Comparability (relation between measures) May 20, 2010 10
  • 11. Measurability Scale Type Admissible Transformation Example Nominal One to one Labels Ordinal Monotonic increasing Mohs scale Interval Positive linear Celsius scale Ratio Positive similarities Miles scale Unknown to Engineers May 20, 2010 11 S.S. Stevens, Science 103, 1946, 677-680
  • 12. Comparability Trade-off relation between measures • Value comparability Revenues • Technical comparability e tu r Safety p era Pr o d t em uctio tor n vol ume R eac Reliability Sustainability May 20, 2010 12
  • 13. Other issues Uncertainty • Setting up of full set criteria. • Independent criteria. • Assigning performance ratings. Design concepts not at same level of abstraction Weights dependant on concept performance May 20, 2010 13
  • 14. Example: Weighted objectives Convincing the design engineers Option 1 Option 2 … Option n Weight Criterion 1 Performance11 Performance12 … Performance1n w1 w2 Criterion 2 Performance21 Performance22 … Performance2n … … … … … … Criterion m Performancem1 Performancem2 … Performancemn wm Score S1 S2 … Sn m Sj = ∑w i =1 i ⋅ Pij May 20, 2010 14
  • 15. Grading issue Criteria Weight Option 1 Option 2 Option 3 Yield 1 2 3 1 By-products 1 3 1 2 Safety 1 2 3 1 Controllabity 1 2 3 1 Revenues 1 3 1 2 Score 12 11 7 Grade: 1=worst, 2=neutral, 3=best. Criteria Weight Option 1 Option 2 Option 3 Yield 1 2 5 1 By-products 1 5 1 2 Change grading Safety Controllabity 1 1 2 2 5 5 1 1 (best 3 5) Revenues 1 5 1 2 Score 16 17 7 Grade: 1=worst, 2=neutral, 5=best. May 20, 2010 15
  • 16. Weighting issue Criteria Weight Option 1 Option 2 Option 3 Yield 0.1 3 2 1 By-products 0.3 1 3 2 Safety 0.2 3 1 2 Controllabity 0.3 3 2 1 Revenues 0.1 1 2 3 Score 2.2 2.1 1.7 Grade: 1=worst, 2=neutral, 3=best. Criteria Weight Option 1 Option 2 Option 3 Yield 0.07 3 2 1 By-products 0.36 1 3 2 Change weighting Safety Controllabity 0.14 0.36 3 3 1 2 2 1 (0.07; 0.14; 0.36) Revenues 0.07 1 2 3 Score 2.14 2.22 1.64 Grade: 1=worst, 2=neutral, 3=best. May 20, 2010 16
  • 17. Buridan's paradox Criteria Weight Option 1 Option 2 Option 3 Yield 0.1 3 2 1 By-products 0.3 2 3 1 Safety 0.2 1 2 3 Controllabity 0.3 2 1 3 Revenues 0.1 3 2 1 Score 2 2 2 Grade: 1=worst, 2=neutral, 3=best. No rational choice … May 20, 2010 17 Aristotle, De Caelo II (On the Heavens), 350 BC
  • 18. Irrelevant alternative issue Criteria Weight Option 1 Option 2 Option 3 Option 4 Yield 1 4 3 2 1 By-products 1 2 4 3 1 Safety 1 4 2 1 3 Controllabity 1 4 2 1 3 Revenues 1 2 4 3 1 Score 16 15 10 9 Grade: 1=worst, 2=poor, 3=fine, 4=best. Criteria Weight Option 1 Option 2 Option 3 Yield 1 3 2 1 By-products 1 1 3 2 Safety 1 3 2 1 Controllabity 1 3 2 1 Revenues 1 1 3 2 Remove/not consider Score 11 12 7 poor option Grade: 1=worst, 2=neutral, 3=best. May 20, 2010 18
  • 19. Traded-away criteria Criteria Weight Option 1 Option 2 Option 3 Yield 1 1 2 3 By-products 1 3 2 1 Safety Controllabity 1 1 1 3 2 1 3 2 Biased on Revenues 1 2 3 1 Sustainability Score 1 3 13 2 12 1 11 sustainability Grade: 1=worst, 2=neutral, 3=best. criterion. Condorcet distortion May 20, 2010 19 M. J.A.N. de Caritat Condorcet, Essai sur l'application de l'analyse à la probabilité des décisions rendues à la pluralité de voix, Paris 1785.
  • 20. How to proceed? Many designers utilize decision matrices. What is their use if not to find the best option? May 20, 2010 20
  • 21. Assessment of design tools Theories of truth Consistent • Coherence with rules Checked • Correspondence by facts • Pragmatic • … Facilitate obtaining goals May 20, 2010 21
  • 22. Pragmatic goals in design practice Goals of matrix methods • Structuring problem • Supports communication • Enhance creativity May 20, 2010 22
  • 23. Problem structuring Ill-structured design problem • No criterion to decide the best solution • Not well defined solution space • No normative framework available Co-evolution of problem & solution May 20, 2010 23
  • 24. Facilitating communication Visual summary Show alternative concepts Converting requirements Judgement on performances Supports debate on the choice CSTR Feb-batch Batch Yield - + ++ By-products + 0 -- Safety + ++ - Revenues + - 0 May 20, 2010 24
  • 25. Creativity enhancement Option 1 Option 2 Option 3 Option 4 Option 5 Option 6 Criterion A + D + ++ + - Criterion B ++ A ++ + - -- Criterion C + T 0 + 0 + Criterion D 0 U - -- ++ 0 Criterion E + M + - -- -- May 20, 2010 25 Controlled convergence method S. Pugh, Total Design, Harlow 1991
  • 26. Conclusion Option 1 Option 2 Option 3 Option 4 … Criterion A + - + 0 … Criterion B ++ ++ + - … Criterion C 0 - -- ++ … Criterion D + + - -- … … … … … … … Keep using the matrix Hold all options & criteria Never calculate a decision May 20, 2010 26
  • 27. Further research Midstream modulation • Collaboration with designers • Stimulate awareness • Motivate to discuss ‘soft’ issues • Safety, sustainability, robustness May 20, 2010 27
  • 28. Many thanks! PDEng trainees MSc students Supervisors & Clients May 20, 2010 28
  • 29. Quantitative Design Tools Decision Matrices in Engineering Design of Innovative Technology Option 1 Option 2 Option 3 Option 4 Option 5 Criterion A + D ++ 0 -- Criterion B ++ A - + - Criterion C + T 0 + 0 Criterion D 0 U - -- ++ Criterion E + M + - - ir. Urjan Jacobs t: +31 (0)15 278 6626 e: j.f.jacobs@tudelft.nl 29 Biotechnology and Society - TNW & Philosophy - TPM