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Centralized Resource Allocation for Connecting Radial and Nonradial Models

Author

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  • A. Mirsalehy
  • M. R. Abu Bakar
  • G. R. Jahanshahloo
  • F. Hosseinzadeh Lotfi
  • L. S. Lee

Abstract

This paper examines an alternative approach to the centralized resource allocation model that indicates that all the units are under the control of an entity of the centralized decision maker. The proposed approach is a technique for connecting the two basic Radial CRA‐BCC and Nonradial CRA‐SBM models in an integrated structure called connected CRA‐SBM. In the proposed model, exchanging the two parameter amounts can change the location of the analysis between the CRA‐BCC and the CRA‐SBM models and deal with the weaknesses inherent in such models. By remedying all the weaknesses in one model, the entire units are simply projected on the frontier line and one can obtain suitable benchmarks for each of them. In the offered model, all of the inputs and outputs, respectively, decrease and increase simultaneously. Lastly, numerical examples emphasize the significance of the offered method.

Suggested Citation

  • A. Mirsalehy & M. R. Abu Bakar & G. R. Jahanshahloo & F. Hosseinzadeh Lotfi & L. S. Lee, 2014. "Centralized Resource Allocation for Connecting Radial and Nonradial Models," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
  • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:974075
    DOI: 10.1155/2014/974075
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    References listed on IDEAS

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    1. Lei Fang & C-Q Zhang, 2008. "Resource allocation based on the DEA model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(8), pages 1136-1141, August.
    2. Thanassoulis, E. & Dyson, R. G., 1992. "Estimating preferred target input-output levels using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 56(1), pages 80-97, January.
    3. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    4. Robert Russell, R., 1985. "Measures of technical efficiency," Journal of Economic Theory, Elsevier, vol. 35(1), pages 109-126, February.
    5. Asmild, Mette & Paradi, Joseph C. & Pastor, Jesus T., 2009. "Centralized resource allocation BCC models," Omega, Elsevier, vol. 37(1), pages 40-49, February.
    6. Lozano, S. & Villa, G. & Adenso-Díaz, B., 2004. "Centralised target setting for regional recycling operations using DEA," Omega, Elsevier, vol. 32(2), pages 101-110, April.
    7. Pastor, J. T. & Ruiz, J. L. & Sirvent, I., 1999. "An enhanced DEA Russell graph efficiency measure," European Journal of Operational Research, Elsevier, vol. 115(3), pages 596-607, June.
    8. Antreas D. Athanassopoulos, 1998. "Decision Support for Target-Based Resource Allocation of Public Services in Multiunit and Multilevel Systems," Management Science, INFORMS, vol. 44(2), pages 173-187, February.
    9. S Lozano & G Villa, 2005. "Centralized DEA models with the possibility of downsizing," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(4), pages 357-364, April.
    10. Sebastián Lozano & Gabriel Villa, 2004. "Centralized Resource Allocation Using Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 22(1), pages 143-161, July.
    11. Russell, R. Robert, 1985. "On the Axiomatic Approach to the Measurement of Technical Efficiency," Working Papers 85-33, C.V. Starr Center for Applied Economics, New York University.
    12. Charnes, A. & Cooper, W. W. & Golany, B. & Seiford, L. & Stutz, J., 1985. "Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 91-107.
    13. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    14. Krishna Kumar, C. & Sinha, Bani K., 1999. "Efficiency based production planning and control models," European Journal of Operational Research, Elsevier, vol. 117(3), pages 450-469, September.
    15. W. Cooper & Dr. Park & Professor Ciurana, 2000. "Marginal Rates and Elasticities of Substitution with Additive Models in DEA," Journal of Productivity Analysis, Springer, vol. 13(2), pages 105-123, March.
    16. Emrouznejad, Ali & Parker, Barnett R. & Tavares, Gabriel, 2008. "Evaluation of research in efficiency and productivity: A survey and analysis of the first 30 years of scholarly literature in DEA," Socio-Economic Planning Sciences, Elsevier, vol. 42(3), pages 151-157, September.
    17. William Cooper & Kyung Park & Jesus Pastor, 2001. "The Range Adjusted Measure (RAM) in DEA: A Response to the Comment by Steinmann and Zweifel," Journal of Productivity Analysis, Springer, vol. 15(2), pages 145-152, March.
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