A Hierarchical Methodology for Performance Evaluation Based on Data Envelopment Analysis: The Case of Companies’ Competitiveness in an Economy
Mohamed Dia, Fouad Ben Abdelaziz
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DOI: 10.4236/ajor.2011.13015   PDF    HTML     6,461 Downloads   10,957 Views   Citations

Abstract

In this research, we present a hierarchical Data Envelopment Analysis (DEA) methodology for competitiveness analysis. This methodology takes into account the heterogeneity of the decision making units (DMUs) as well as the diversity of the comparison criteria. We propose to homogenize the DMUs by grouping them hierarchically, which permits a better identification and definition of the criteria in each specific grouping. The methodology proceeds first by the determination of the performances or relative efficiencies, which are in turn aggregated into competitiveness indices in each grouping by the superiority index of [1]; then, the overall competitiveness indices are determined additively along the hierarchical levels. We illustrate the methodology by a competitiveness analysis of several companies belonging to different sectors of activity in an economy, where are suggested ways of improvement for the non-competitive companies within their sectors and within the economy.

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M. Dia and F. Abdelaziz, "A Hierarchical Methodology for Performance Evaluation Based on Data Envelopment Analysis: The Case of Companies’ Competitiveness in an Economy," American Journal of Operations Research, Vol. 1 No. 3, 2011, pp. 134-146. doi: 10.4236/ajor.2011.13015.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] O. Kettani, F. Ben Abdelaziz and M. Dia, “Méthodologie Multicritère Pour la Sélection de Projets d'Investissement en Tunisie,” In: M. Oral and O. Kettani, Eds., Globalisation and Competitiveness: Implications for Policy and Strategy Formulation, Bilkent University Press, Bilkent, 1997, pp. 381-396.
[2] A. Charnes, W. W. Cooper and E. Rhodes, “Measuring the Efficiency of Decision-Making Units,” European Jour- nal of Operational Research, Vol. 2, No. 6, 1978, pp. 429-444. doi:10.1016/0377-2217(78)90138-8
[3] R. D. Banker, “Productivity Measurement and Management Control,” In: P. Kleindorfer, Ed., Management of Productivity and Technology in Manufacturing, Plenum Press, New York, 1985, pp. 239-257. doi:10.1007/978-1-4613-2507-9_10
[4] M. Oral and H. Chabchoub, “On the Methodology of World Competitiveness Report,” European Journal of Operational Research, Vol. 90, No. 3, 1996, pp. 514-535. doi:10.1016/0377-2217(94)00370-X
[5] M. Oral, O. Kettani and P. Lang, “A Methodology for Collective Evaluation and Selection of Industrial R&D Projects,” Management Science, Vol. 37, No. 7, 1991, pp. 871-885. doi:10.1287/mnsc.37.7.871
[6] K. K. Sinha, “Moving Frontier Analysis: An Application of Data Envelopment Analysis for Competitive Analysis of a High-Technology Manufacturing Plant,” Annals of Operations Research, Vol. 66, No. 3, 1996, pp. 197-218. doi:10.1007/BF02187591
[7] M. Oral and O. Kettani, Eds., “Globalisation and Competitiveness: Implications for Policy and Strategy Formulation,” Bilkent University Press, Bilkent, 1997.
[8] M. E. Porter, “The Competitive Advantage of Nations,” Harvard Business Review, Vol. 68, No. 2, 1990, pp. 73-93.
[9] M. E. Porter, Ed., “Competition in Global Industries,” Harvard Business School Press, Boston, 1986.
[10] D. G. McFetridge, “La Compétitivité: Notions et Mesures,” Document Hors-Série Numéro 5, Industrie Canada, Ottawa, 1995, pp. 1-45.
[11] M. E. Porter, “Competitive Advantage: Creating and Sus- taining Superior Performance,” Free Press, New York, 1985.
[12] M. Oral, “A Methodology for Competitiveness Analysis and Strategy Formulation in Glass Industry,” European Journal of Operational Research, Vol. 68, No. 1, 1993, pp. 9-22. doi:10.1016/0377-2217(93)90074-W
[13] L. Castelli, R. Pesenti and W. Ukovich, “A Classification of DEA Models When the Internal Structure of the Decision Making Units Is Considered,” Annals of Operations Research, Vol. 173, No. 1, 2010, pp. 207-235. doi:10.1007/s10479-008-0414-2
[14] W. D. Cook and R. H. Green, “Evaluating Power Plant Efficiency: A Hierarchical Model,” Computers & Operations Research, Vol. 32, No. 4, 2005, pp. 813-823. doi:10.1016/j.cor.2003.08.019
[15] L. Castelli, R. Pesenti and W. Ukovich, “DEA-Like Models for the Efficiency Evaluation of Hierarchically Structured Units,” European Journal of Operational Research, Vol. 154, No. 2, 2004, pp. 465-476. doi:10.1016/S0377-2217(03)00182-6
[16] W. D. Cook, D. Chai, J. Doyle and R. Green, “Hierarchies and Groups in DEA,” Journal of Productivity Analysis, Vol. 10, No. 2, 1998, pp. 177-198. doi:10.1023/A:1018625424184
[17] T. R. Sexton, R. H. Silkman and A. J. Hogan, “Data Envelopment Analysis: Critique and Extensions,” In: R. H. Silkman, Ed., Measuring Efficiency: An Assessment of Data Envelopment Analysis, Jossey-Bass, San Francisco, 1986.
[18] J. Doyle and R. Green, “Efficiency and Cross-Efficiency in DEA: Derivations, Meanings and Uses,” Journal of Operational Research and Society, Vol. 45, No. 5, 1994, pp. 567-578.
[19] A. Charnes and W. W. Cooper, “Programming with Linear Fractional Functional,” Naval Research Logistics Quarterly, Vol. 9, No. 3-4, 1962, pp. 181-185. doi:10.1002/nav.3800090303
[20] R. D. Banker, A. Charnes and W. W. Cooper, “Some Models for Estimating Technical and Scale Efficiencies in Data Envelopment Analysis,” Management Science, Vol. 30, No. 9, 1984, pp. 1078-1092. doi:10.1287/mnsc.30.9.1078
[21] G. Yu, Q. Wei and P. Brockett, “A Generalized Data Envelopment Analysis Model: A Unification and Extension of Existing Methods for Efficiency Analysis of Decision Making Units,” Annals of Operations Research, Vol. 66, 1996, pp. 47-89.
[22] Y.-M. Wang and K.-S. Chin, “Some Alternative Models for DEA Cross-Efficiency Evaluation,” International Journal of Production Economics, Vol. 128, No. 1, 2010, pp. 332-338. doi:10.1016/j.ijpe.2010.07.032

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