This paper proposes a machine product design optimization method based on the decomposition of performance characteristics, or alternatively, extraction of simpler characteristics, that is especially responsive to the detailed features or difficulties presented by specific design problems. The optimization problems examined here are expressed using hierarchical constructions of the decomposed and extracted characteristics and the optimizations are sequentially repeated, starting with groups of characteristics having conflicting characteristics at the lowest hierarchical level and proceeding to higher levels. The proposed method not only effectively provides optimum design solutions, but also facilitates deeper insight into the design optimization results, so that ideas for optimum solution breakthroughs are more easily obtained. An applied example is given to demonstrate the effectiveness of the proposed method.

1.
1988,
Multicriteria Optimization in Engineering and In the Sciences
,
W.
Stadler
, ed.,
Plenum Press
, New York.
2.
1990,
Multicriteria Design Optimization
,
H.
Eschenauer
,
J.
Koski
, and
A.
Osyczka
, eds.,
Springer-Verlag
, Berlin.
3.
Sobieski
,
J.
, 1982,
A Linear Decomposition Method for Large Optimization Problems–Blueprint for Development
, NASA Technical Memorandum 83248.
4.
Rogers
,
J. L.
, and
Bloebaum
,
C.
, 1994, “
Ordering Design Tasks Based on Coupling Strengths
,
Proceedings of the 5th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization
,
Panama City, Florida, September 7-9, AIAA Paper No. 94-4326.
5.
McCulley
,
C.
, and
Bloebaum
,
C. L.
, 1996, “
A Genetic Tool for Optimal Design Sequencing in Complex Engineering Systems
,”
Struct. Optim.
0934-4373,
12
(
2,3
), pp.
186
201
.
6.
Steward
,
D. V.
, 1981, “
The Design Structure System: A Method for Managing the Design of Complex Systems
,”
IEEE Trans. Eng. Manage.
0018-9391,
28
(
3
), pp.
71
74
.
7.
Kusiak
,
A.
, and
Chow
,
W. S.
, 1987, “
Efficient Solving of the Group Technology Problem
,”
J. Manuf. Syst.
0278-6125,
6
(
2
), pp.
117
124
.
8.
Kusiak
,
A.
, and
Wang
,
J.
, 1993, “
Decomposition of the Design Process
,”
J. Mech. Des.
1050-0472,
115
, pp.
687
694
.
9.
Wagner
,
T. C.
, and
Papalambros
,
P. Y.
, 1993, “
A General Framework for Decomposition Analysis in Optimal Design
,”
Advances in Design Automation-1993
,
B. J.
Gilmore
, ed.,
ASME, New York, Vol.
2
, pp.
315
325
.
10.
Michelena
,
N. F.
, and
Papalambros
,
P. Y.
, 1997, “
A Hypergraph Framework for Optimal Model-Based Decomposition of Design Problems
,”
Comput. Optim. Appl.
0926-6003,
8
(
2
), pp.
173
196
.
11.
Kim
,
H. M.
,
Michelena
,
N. F.
,
Papalambros
,
P. Y.
, and
Jiang
,
T.
, 2003, “
Target Cascading in Optimal System Design
,”
J. Mech. Des.
1050-0472, Vol.
125
(
3
), pp.
474
480
.
12.
Kim
,
H. M.
,
Rideout
,
D. G.
,
Papalambros
,
P. Y.
, and
Stein
,
J. L.
, 2003, “
Analytical Target Cascading in Automotive Vehicle Design
,”
J. Mech. Des.
1050-0472,
125
(
3
), pp.
481
489
.
13.
Sobieszczanski-Sobieski
,
J.
,
Agte
,
J. S.
, and
Sandusky
,
R. R.
Jr.
, 1998, Bi-Level Integrated System Synthesis (BLISS), NASA/TM-1998-208715.
14.
Kodiyalam
,
S.
, and
Sobieszczanski-Sobieski
,
J.
, 2000, “
Bilevel Integrated System Synthesis with Response Surfaces
,”
AIAA J.
0001-1452,
38
(
8
), pp.
1479
1485
.
15.
Sobieszczanski-Sobieski
,
J.
,
Altus
,
T. D.
,
Phillips
,
M.
, and
Sandusky
,
R.
, 2003, “
Bilevel Integrated System Synthesis for Concurrent and Distributed Processing
,”
AIAA J.
0001-1452,
41
(
10
), pp.
1996
2003
.
16.
Tappeta
,
R. V.
, and
Renaud
,
J. E.
, 1997, “
Multiobjective Collaborative Optimization
,”
J. Mech. Des.
1050-0472,
119
(
3
), pp.
403
411
.
17.
Braun
,
R. D.
,
Moore
,
A. A.
, and
Kroo
,
I. M.
, 1997, “
Collaborative Approach to Launch Vehicle Design
,”
J. Spacecr. Rockets
0022-4650,
34
(
4
), pp.
478
486
.
18.
Gu
,
X.
,
Renaud
,
J. E.
,
Ashe
,
L. M.
,
Batill
,
S. M.
,
Budhiraja
,
A. S.
, and
Krajewski
,
L. J.
, 2002, “
Decision-Based Collaborative Optimization
,”
J. Mech. Des.
1050-0472,
124
(
1
), pp.
1
13
.
19.
Lin
,
J. G.
, 2004, “
Analysis and Enhancement of Collaborative Optimization for Multidisciplinary Design
,”
AIAA J.
0001-1452,
42
(
2
), pp.
348
360
.
20.
Alexandrov
,
N. M.
, and
Lewis
,
R. M.
, 2002, “
Analytical and Computational Aspects of Collaborative Optimization for Multidisciplinary Design
,”
AIAA J.
0001-1452,
40
(
2
), pp.
301
309
.
21.
Yoshimura
,
M.
, and
Izui
,
K.
, 2002, “
Smart Optimization of Machine Systems Using Hierarchical Genotype Representations
,”
J. Mech. Des.
1050-0472,
124
(
3
), pp.
375
384
.
22.
Yoshimura
,
M.
, and
Izui
,
K.
, 2004, “
Hierarchical Parallel Processes of Genetic Algorithms for Design Optimization of Large-Scale Products
,”
J. Mech. Des.
1050-0472,
126
(
2
), pp.
217
224
.
23.
Lyu
,
N.
, and
Saitou
,
K.
, 2003, “
Decomposition-Based Assembly Synthesis for Structural Stiffness
,”
J. Mech. Des.
1050-0472,
125
(
3
), pp.
452
463
.
24.
Lee
,
B.
, and
Saitou
,
K.
, 2003, “
Decomposition-Based Assembly Synthesis for In-Process Dimensional Adjustability
,”
J. Mech. Des.
1050-0472,
125
(
1
), pp.
464
473
.
25.
Cetin
,
O. L.
, and
Saitou
,
K.
, 2004, “
Decomposition-Based Assembly Synthesis for Maximum Structural Strength and Modularity
,”
J. Mech. Des.
1050-0472,
126
(
1
), pp.
244
253
.
26.
Yoshimura
,
M.
, and
Nomura
,
R.
, 2000, “
Optimization of Machine System Designs Based on Decomposition and Hierarchical Ordering of Criteria and Design Variables
,”
Proceeding of DETC’2000 ASME Design Engineering Technical Conferences
, Baltimore, MD, September 10–13, DETC2000/DAC-14520, pp.
1
15
.
27.
Yoshimura
,
M.
,
Izui
,
K.
, and
Komori
,
S.
, 2002, “
Optimization of Machine System Designs Using Hierarchical Decomposition Based on Criteria Influence
,”
Proceedings of DETC’ 2002: ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conferences
, Montreal, Canada, September 29–October 2, DETC2002/DAC-34042, pp.
1
12
.
28.
Zoutendijk
,
G.
, 1960,
Methods of Feasible Directions
,
Elsevier
, Amsterdam.
29.
Yoshimura
,
M.
,
Takeuchi
,
Y.
, and
Hitomi
,
K.
, 1984, “
Design Optimization of Machine-Tool Structures Considering Manufacturing Cost, Accuracy and Productivity
,”
ASME J. Mech., Transm., Autom. Des.
0738-0666,
106
(
4
), pp.
531
537
.
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