This paper introduces a novel cross-evaluation matrix (CEM) rating based approach for the development of Pareto efficient frontiers and the finding of discrete sets of globally non-inferior design sets. This work, based on concepts from data envelopment analysis (DEA), can facilitate the enumeration of design candidates in a multi-criteria formulation. In addition, it is expected that the resulting design sets will provide the basis for the establishment of a value system and subsequent preference based rank ordering of expected outcomes in the single-criterion formulation. A unique feature of this cross-evaluation matrix approach is its ability to handle problems without requiring a priori tradeoff formulation or multiattribute model development. As such, its application does not require assignment of a set of a priori weight constants as in many well-established Pareto-optimal generating methods, nor does it need any a priori information of the global minimum or maximum of the attribute functions. Recognizing that the enumeration of multiple discrete solution alternatives can be best achieved in a parallel computation environment, the implementation in this work is executed with the aid of a genetic algorithm strategy. The effectiveness of the integrated approach in yielding Pareto-optimal candidate design sets under different scenarios are studied in the context of illustrative examples, including two engineering case studies, and the results are discussed.
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ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
September 2–6, 2003
Chicago, Illinois, USA
Conference Sponsors:
- Design Engineering Division and Computers and Information in Engineering Division
ISBN:
0-7918-3700-9
PROCEEDINGS PAPER
A Cross-Evaluation Matrix (CEM) Rating Based Approach to Pareto Efficient Frontier and Design Alternatives Enumeration
Anand Krishnamurthy,
Anand Krishnamurthy
University of Massachusetts, Amherst, MA
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Sundar Krishnamurthy
Sundar Krishnamurthy
University of Massachusetts, Amherst, MA
Search for other works by this author on:
Anand Krishnamurthy
University of Massachusetts, Amherst, MA
Sundar Krishnamurthy
University of Massachusetts, Amherst, MA
Paper No:
DETC2003/DAC-48705, pp. 13-24; 12 pages
Published Online:
June 23, 2008
Citation
Krishnamurthy, A, & Krishnamurthy, S. "A Cross-Evaluation Matrix (CEM) Rating Based Approach to Pareto Efficient Frontier and Design Alternatives Enumeration." Proceedings of the ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 2: 29th Design Automation Conference, Parts A and B. Chicago, Illinois, USA. September 2–6, 2003. pp. 13-24. ASME. https://doi.org/10.1115/DETC2003/DAC-48705
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