Product take-back and remanufacturing systems are difficult to implement cost effectively. One contributing factor is the complex nature of the inter-relationships among components of a product. Modeling of these relationships helps determine the product’s overall performance as a function of the performances of individual components. Reliability, a commonly used measure of performance, is a good measure of the physical failure rate, but it does not always reflect value degradation as experienced by customers or experts. As a result, it is difficult to define the effective performance of remanufactured products when some components are reused while others are not. Legislated take-back mandates across the world increasingly make it necessary to understand this perceived performance. In this paper we propose a method for combining customers’/experts’ assessments of value degradation using the maximum entropy principle. This value degradation information is then coupled with the components’ failure rate information. A method for modeling performance of a product that is comprised of components of different ages is presented. Overall performance is measured in units of time (effective age) by aligning with that of a product that has never been disassembled. We demonstrate the approach using a personal computer as example.

1.
EU Directive, 2000, “Directive 2000/53/EC of the European Parliament and of the Council of 18 September 2000 on End-of Life Vehicles,” Official Journal of the European Union, Article 7.
2.
EU Directive, 2002, “Directive 2002/96/EC of the European Parliament and of the Council of 27 January 2003 on Waste Electrical and Electronic Equipment,” Official Journal of the European Union, L37/28 and L37/29.
3.
Rose
,
C. M.
,
Beiter
,
K. A.
,
Ishii
,
K.
, and
Masui
,
K.
, 1998, “
Characterization of Product End of Life Strategies to Enhance Recyclability
,”
Proceedings of ASME Design for Manufacturing Symposium
.
4.
Gutowski
,
T. G.
, and
Dahmus
,
J. B.
, 2005, “
Mixing Entropy and Product Recycling
,”
Electronics and the Environment, 2005, Proceedings of the IEEE International Symposium on Electronics and the Environment
, pp.
72
76
.
5.
Lee
,
B.
,
Rhee
,
S.
, and
Ishii
,
K.
, 1997, “
Robust Design for Recyclability Using Demanufacturing Complexity Metrics
,”
Proceedings of the ASME International Design Engineering Technical Conferences
,
Sacramento, CA
.
6.
Srinivasan
,
H.
, and
Gadh
,
R.
, 2000, “
Efficient Geometric Disassembly of Multiple Components From an Assembly Using Wave Propagation
,”
ASME J. Mech. Des.
0161-8458,
122
, pp.
179
184
.
7.
Jiang
,
Z. H.
,
Shu
,
L. H.
, and
Benhabib
,
B.
, 2000, “
Reliability Analysis of Non-Constant-Size Part Populations in Design for Remanufacture
,”
ASME J. Mech. Des.
0161-8458,
122
, pp.
172
178
.
8.
Hammond
,
R.
, and
Bras
,
B. A.
, 1996, “
Design for Remanufacturing Metrics
,”
Proceedings of the First International Workshop on Reuse
, Nov. 11–13,
S. D.
Flapper
and
A. J.
de Ron
, eds.,
Eindhoven
,
The Netherlands
, pp.
5
22
.
9.
Hammond
,
R.
,
Amezquita
,
T.
, and
Bras
,
B. A.
, 1998, “
Issues in the Automotive Parts Remanufacturing Industry: Discussion of Results From Surveys Performed Among Remanufacturers
,”
International Journal of Engineering Design and Automation—Special Issue on Environmentally Conscious Design and Manufacturing
,
4
(
1
), pp.
27
46
.
10.
Rose
,
C. M.
, and
Stevels
,
A.
, 2001, “
Metrics for End-of-Life Strategies (ELSEIM)
,”
Proceedings of the 2001 IEEE International Symposium on Electronics and the Environment
, pp.
100
105
.
11.
Wood
,
A. P.
, 2001, “
Reliability-Metric Varieties and Their Relationships
,”
Proceedings of the Annual Reliability and Maintainability Symposium
, pp.
110
115
.
12.
Murayama
,
T.
,
Yamamoto
,
S.
, and
Oba
,
F.
, 2004, “
Mathematical Model of Reusability
,”
Proceedings of the IEEE International Symposium on Electronics and the Environment
, May 10–13, pp.
183
188
.
13.
Mangun
,
D.
, and
Thurston
,
D. L.
, 2002, “
Incorporating Component Reuse, Remanufacture and Recycle Into Product Portfolio Design
,”
IEEE Trans. Eng. Manage.
,
49
(
4
), pp.
479
490
. 0018-9391
14.
Jolly
,
M.
,
Winward
,
P.
,
Pandey
,
V.
, and
Thurston
,
D. L.
, 2006, “
Mass Customization Optimization Using Social Network Based Product Architecture Representation
,”
Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
,
Philadelphia, PA
.
15.
Daimon
,
T.
,
Kondoh
,
S.
, and
Umeda
,
Y.
, 2003, “
Proposal of Decision Support Method for Life Cycle Strategy by Estimating Value and Physical Lifetimes
,”
Proceedings of the EcoDesign, Third International Symposium on Environmentally Conscious Design and Inverse Manufacturing
, pp.
109
––
116
.
16.
Morris
,
P. A.
, 1977, “
Combining Expert Judgments: A Bayesian Approach
,”
Manage. Sci.
,
23
(
7
), pp.
679
693
. 0025-1909
17.
Clemen
,
R. T.
, 1986, “
Calibration and the Aggregation of Probabilities
,”
Manage. Sci.
,
32
(
3
), pp.
312
314
. 0025-1909
18.
Schervish
,
M. J.
, 1986, “
Comments on Some Axioms for Combining Expert Judgments
,”
Manage. Sci.
,
32
(
3
), pp.
306
312
. 0025-1909
19.
Jaynes
,
E. T.
, 1957, “
Information Theory and Statistical Mechanics
,”
Phys. Rev.
0031-899X,
106
(
4
), pp.
620
630
.
20.
Oikonomou
,
K. N.
, 1993, “
System Reliability Calculations Based on Incomplete Information
,”
IEEE Trans. Syst. Man Cybern.
,
23
(
5
), pp.
1235
1254
. 0018-9472
21.
Shannon
,
C. E.
, 1948, “
A Mathematical Theory of Communication
,”
Bell Syst. Tech. J.
0005-8580,
27
, pp.
379
423
and 623–656.
22.
Abbas
,
A. E.
, 2006, “
Entropy Methods for Joint Distributions in Decision Analysis
,”
IEEE Trans. Eng. Manage.
,
53
(
1
), pp.
146
158
. 0018-9391
23.
Abbas
,
A. E.
, 2003, “
Entropy Methods for Univariate Distributions in Decision Analysis
,”
Bayesian Inference and Maximum Entropy Methods in Science and Engineering: 22nd International Workshop
C. J.
Williams
, ed.,
American Institute of Physics
.
24.
Abbas
,
A. E.
, 2006, “
Maximum Entropy Utility
,”
Oper. Res.
,
54
(
2
), pp.
277
290
. 0030-364X
You do not currently have access to this content.