This paper introduces the technique of separation, which replaces a design optimization problem with a set of subproblems. This separation is similar to decomposition but does not require a second-level coordination. We identify conditions under which this separation yields an exact solution and other conditions under which the error can be bounded. We show that the decision-based design framework, which seeks to find the most profitable design, can be separated into a sequence of subproblems. We also apply separation to a motor design problem and demonstrate how the surrogate constraints and objective functions affect the solution quality. These results indicate a way to apply the principles of decision-based design to design processes.
Issue Section:
Research Papers
1.
Lewis
, K.
, Chen
, W.
, and Schmidt
, L. C.
, 2006, Decision Making in Engineering Design
, American Society of Mechanical Engineers (ASME)
, New York
.2.
Simon
, H. A.
, 1997, Administrative Behavior
, 4th ed., The Free Press
, New York
.3.
Herrmann
, J. W.
, and Schmidt
, L. C.
, 2002, “Viewing Product Development as a Decision Production System
,” ASME Paper No. DETC2002/DTM-34030.4.
Herrmann
, J. W.
, and Schmidt
, L. C.
, 2006, “Product Development and Decision Production Systems
,” Decision Making in Engineering Design
, K.
Lewis
, W.
Chen
, and L. C.
Schmidt
, eds., American Society of Mechanical Engineers (ASME)
, New York
, pp. 227
–242
.5.
Donndelinger
, J. A.
, 2006, “A Decision-Based Perspective on the Vehicle Development Process
,” Decision Making in Engineering Design
, K.
Lewis
, W.
Chen
, and L. C.
Schmidt
, eds., American Society of Mechanical Engineers (ASME)
, New York
, pp. 217
–226
.6.
Daft
, R. L.
, 2004, Organization Theory and Design
, 8th ed., Thomson/South-Western
, Mason, OH
.7.
Mintzberg
, H.
, Raisinghani
, D.
, and Theoret
, A.
, 1976, “The Structure of Unstructured Decision Processes
,” Adm. Sci. Q.
, 21
(2
), pp. 246
–275
. 0001-83928.
Arora
, J. S.
, 2004, Introduction to Optimum Design
, 2nd ed., Elsevier
, Amsterdam
.9.
Papalambros
, P. Y.
, and Wilde
, D. J.
, 2000, Principles of Optimal Design
, 2nd ed., Cambridge University Press
, Cambridge
.10.
Ravindran
, A.
, Ragsdell
, K. M.
, and Reklaitis
, G. V.
, 2006, Engineering Optimization: Methods and Applications
, 2nd ed., Wiley
, Hoboken, NJ
.11.
Herrmann
, J. W.
, 2007, “Evaluating Design Optimization Models
,” Institute for Systems Research, University of Maryland, Technical Report No. 2007–11.12.
Schoeffler
, J. D.
, 1971, “Static Multilevel Systems
,” Optimization Methods for Large-Scale Systems
, D. A.
Wismer
, ed., McGraw-Hill
, New York
, pp. 1
–47
.13.
Kirsch
, U.
, 1981, Optimum Structural Design
, McGraw-Hill
, New York
.14.
Kim
, H.
, Ragon
, S.
, Soremekun
, G.
, and Malone
, B.
, 2004, “Flexible Approximation Model for Bi-Level Integrated System Synthesis
,” AIAA Paper No. AIAA 2004–4545.15.
Kim
, H. M.
, Michelena
, N. F.
, Papalambros
, P. T.
, and Jiang
, T.
, 2000, “Target Cascading in Optimal System Design
,” Proceedings of DETC 2000, 26th Design Automation Conference
, Baltimore, MD, Sep. 10–13, Paper No. DETC2000/DAC-14265.16.
Kim
, H. M.
, Rideout
, D. G.
, Papalambros
, P. Y.
, and Stein
, J. L.
, 2003, “Analytical Target Cascading in Automotive Vehicle Design
,” ASME J. Mech. Des.
0161-8458, 125
(3
), pp. 481
–489
.17.
Renaud
, J. E.
, and Gu
, X.
, 2006, “Decision-Based Collaborative Optimization of Multidisciplinary Systems
,” Decision Making in Engineering Design
, K.
Lewis
, W.
Chen
, and L. C.
Schmidt
, eds., American Society of Mechanical Engineers (ASME)
, New York
, pp. 173
–186
.18.
Bloebaum
, C. L.
, Hajela
, P.
, and Sobieszczanski-Sobieski
, J.
, 1992, “Non-Hierarchic System Decomposition in Structural Optimization
,” Eng. Optimiz.
0305-215X, 19
(3
), pp. 171
–186
.19.
Wujek
, B. A.
, Renaud
, J. E.
, Batill
, S. M.
, and Brockman
, J. B.
, 1996, “Concurrent Subspace Optimization Using Design Variable Sharing in a Distributed Computing Environment
,” Concurr. Eng. Res. Appl.
1063-293X, 4
(4
), pp. 361
–377
.20.
Yoshimura
, M.
, Taniguchi
, M.
, Izui
, K.
, and Nishiwaki
, S.
, 2006, “Hierarchical Arrangement of Characteristics in Product Design Optimization
,” ASME J. Mech. Des.
0161-8458, 128
(4
), pp. 701
–709
.21.
Hazelrigg
, G. A.
, 1998, “A Framework for Decision-Based Engineering Design
,” ASME J. Mech. Des.
0161-8458, 120
(4
), pp. 653
–658
.22.
Michalek
, J. J.
, Ceryan
, O.
, Papalambros
, P. Y.
, and Koren
, Y.
, 2006, “Balancing Marketing and Manufacturing Objectives in Product Line Design
,” ASME J. Mech. Des.
0161-8458, 128
(6
), pp. 1196
–1204
.23.
Williams
, N.
, Azarm
, S.
, and Kannan
, P. K.
, 2008, “Engineering Product Design Optimization for Retail Channel Acceptance
,” ASME J. Mech. Des.
0161-8458, 130
(6
), p. 061402
.24.
Holt
, C. C.
, Modigliani
, F.
, Muth
, J. F.
, and Simon
, H. A.
, 1960, Planning Production, Inventories, and Work Force
, Prentice-Hall
, Englewood Cliffs, NJ
.25.
Pahl
, G.
, and Beitz
, W.
, 1996, Engineering Design: A Systematic Approach
, K.
Wallace
, ed., Springer
, London
.26.
Lewis
, K.
, and Mistree
, F.
, 1998, “Collaborative, Sequential, and Isolated Decisions in Design
,” ASME J. Mech. Des.
0161-8458, 120
(4
), pp. 643
–652
.27.
Hulme
, K. F.
, and Bloebaum
, C. L.
, 2000, “A Simulation-Based Comparison of Multidisciplinary Design Optimization Solution Strategies Using CASCADE
,” Struct. Multidiscip. Optim.
1615-147X, 19
(1
), pp. 17
–35
.28.
Allison
, J. T.
, Kokkolaras
, M.
, and Papalambros
, P. Y.
, 2007, “On Selecting Single-Level Formulations for Complex System Design Optimization
,” ASME J. Mech. Des.
0161-8458, 129
(9
), pp. 898
–906
.29.
Cramer
, E. J.
, Dennis
, J. E.
, Frank
, P. D.
, Lewis
, R. M.
, and Shubin
, G. R.
, 1994, “Problem Formulation for Multidisciplinary Optimization
,” SIAM J. Optim.
1052-6234, 4
(4
), pp. 754
–776
.30.
Chanron
, V.
, and Lewis
, K. E.
, 2006, “The Dynamics of Decentralized Design Processes: The Issue of Convergence and Its Impact on Decision-Making
,” Decision Making in Engineering Design
, K.
Lewis
, W.
Chen
, and L. C.
Schmidt
, eds., American Society of Mechanical Engineers (ASME)
, New York
, pp. 281
–290
.31.
Bradley
, S. P.
, Hax
, A. C.
, and Magnanti
, T. L.
, 1977, Applied Mathematical Programming
, Addison-Wesley
, Reading, MA.
32.
Ignizio
, J. P.
, 1976, Goal Programming and Extensions
, Heath
, Boston
.33.
Stefanov
, S. M.
, 2001, Separable Programming: Theory and Methods
, Kluwer
, Dordrecht, Netherlands
.34.
Sobieszczanski-Sobieski
, J.
, 1990, “Sensitivity of Complex, Internally Coupled Systems
,” AIAA J.
0001-1452, 28
(1
), pp. 153
–160
.35.
Fallin
, T. W.
, and Thurston
, D. L.
, 1994, “Decision Decomposition for the Lifecycle of the Design Process
,” Advances in Design Automation 1994
, American Society of Mechanical Engineers (ASME)
, New York
, Vol. 2
, pp. 383
–392
.36.
Michelena
, N. F.
, and Papalambros
, P. Y.
, 1995, “Optimal Model-Based Decomposition of Powertrain System Design
,” ASME J. Mech. Des.
0161-8458, 117
(4
), pp. 499
–505
.37.
Chen
, L.
, Ding
, Z.
, and Li
, S.
, 2005, “Tree-Based Dependency Analysis in Decomposition and Re-Decomposition of Complex Design Problems
,” ASME J. Mech. Des.
0161-8458, 127
(1
), pp. 12
–23
.38.
Chen
, L.
, and Li
, S.
, 2005, “Analysis of Decomposability and Complexity for Design Problems in the Context of Decomposition
,” ASME J. Mech. Des.
0161-8458, 127
(4
), pp. 545
–557
.39.
Allison
, J. T.
, Kokkolaras
, M.
, and Papalambros
, P. Y.
, 2007, “Optimal Partitioning and Coordination Decisions in Decomposition-Based Design Optimization
,” ASME Paper No. DETC2007–34698.40.
Kaldate
, A.
, Thurston
, D.
, Emamipour
, H.
, and Rood
, M.
, 2006, “Engineering Parameter Selection for Design Optimization During Preliminary Design
,” J. Eng. Design
, 17
(4
), pp. 291
–310
. 0954-482841.
Panchal
, J. H.
, Paredis
, C. J. J.
, Allen
, J. K.
, and Mistree
, F.
, 2007, “Managing Design Process Complexity: A Value-of-Information Based Approach for Scale and Decision Decoupling
,” ASME Paper No. DETC2007–35686.42.
Simpson
, T. W.
, 1998, “A Concept Exploration Method for Product Family Design
,” Ph.D. thesis, Georgia Institute of Technology, Atlanta, GA.43.
Simpson
, T. W.
, Maier
, J. R. A.
, and Mistree
, F.
, 2001, “Product Platform Design: Method and Application
,” Res. Eng. Des.
0934-9839, 13
(1
), pp. 2
–22
.44.
Wassenaar
, H. J.
, and Chen
, W.
, 2001, “An Approach to Decision-Based Design
,” Proceedings of DETC ASME Design Engineering Technical Conference
, Pittsburgh, PA, Paper No. DETC01/DTM-21683.45.
Daganzo
, C.
, 1979, Multinomial Probit: The Theory and Its Applications to Demand Forecasting
, Academic
, New York
.46.
Hensher
, D. A.
, and Johnson
, L. W.
, 1981, Applied Discrete-Choice Modeling
, Halsted
, New York
.47.
Asimow
, M.
, 1962, Introduction to Design
, Prentice-Hall
, Englewood Cliffs, NJ
.48.
Ullman
, D. G.
, 2003, The Mechanical Design Process
, 3rd ed., McGraw-Hill
, Boston
.49.
Ulrich
, K. T.
, and Eppinger
, S. D.
, 2004, Product Design and Development
, 3rd ed., McGraw-Hill
, Irwin, New York
.50.
O’Donovan
, B.
, Eckert
, C.
, Clarkson
, J.
, and Browning
, T. R.
, 2005, “Design Planning and Modelling
,” Design Process Improvement: A Review of Current Practice
, J.
Clarkson
and C.
Eckert
, eds., Springer
, London
, pp. 60
–87
.51.
Adler
, P. S.
, Mandelbaum
, A.
, Nguyen
, V.
, and Schwerer
, E.
, 1995, “From Project to Process Management: An Empirically-Based Framework for Analyzing Product Development Time
,” Manage. Sci.
, 41
(3
), pp. 458
–484
. 0025-190952.
Johnson
, E. W.
, and Brockman
, J. B.
, 1998, “Measurement and Analysis of Sequential Design Processes
,” ACM Trans. Des. Autom. Electron. Syst.
, 3
(1
), pp. 1
–20
.53.
Browning
, T. R.
, 2001, “Applying the Design Structure Matrix to System Decomposition and Integration Problems: A Review and New Directions
,” IEEE Trans. Eng. Manage.
0018-9391, 48
(3
), pp. 292
–306
.54.
O’Donovan
, B.
, Eckert
, C.
, and Clarkson
, P. J.
, 2004, “Simulating Design Processes to Assist Design Process Planning
,” ASME Paper No. DETC2004–57612.55.
Cho
, S. -H.
, and Eppinger
, S. D.
, 2005, “A Simulation-Based Process Model for Managing Complex Design Projects
,” IEEE Trans. Eng. Manage.
, 52
(3
), pp. 316
–328
. 0018-939156.
Vincent
, T. L.
, 1983, “Game Theory as a Design Tool
,” ASME J. Mech., Transm., Autom. Des.
0738-0666, 105
, pp. 165
–170
.57.
Rao
, S. S.
, and Hati
, S. K.
, 1979, “Game Theory Approach in Multicriteria Optimization of Function Generating Mechanisms
,” ASME J. Mech. Des.
, 101
, pp. 398
–406
. 0161-845858.
Chen
, Z.
, and Siddique
, Z.
, 2007, “A Design Strategy for Collaborative Decision Making in a Distributed Environment
,” ASME Paper No. DETC2007–34842.59.
Dym
, C. L.
, Agogino
, A. M.
, Eris
, O.
, Frey
, D. D.
, and Leifer
, L. J.
, 2005, “Engineering Design Thinking, Teaching, and Learning
,” J. Eng. Educ.
1069-4730, 94
(1
), pp. 103
–120
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