DEA models with out explicit inputs or outputs: radial and nonradial approaches

Subject Areas : Data Envelopment Analysis

Zohreh Moghaddas ^{1 *}

1 - Department of Electrical, Computer and Biomedical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran

Received: 2019-01-15 Accepted : 2023-06-24 Published : 2022-12-01

Keywords: DEA, Efficiency, Data without inputs and outputs,

Abstract :

Many applications and studies are concerns about studying DEA mod-els without explicit inputs or outputs for performance evaluation ofDecision Making Units (DMUs). On basis of what provided in DEAliterature in this paper it has been veried that in the mentioned ap-proach convexity assumption has not been properly dealt with. Thus,a modied approach has been presented and for clarity, an applicationof the DEA models without inputs and outputs are presented.

References:

Agrell, P. J., & Bogetoft, P. (2005). Efficiency evaluation with convex pairs. Electr. Int. J. Adv. Model. Opt., 5(2), 211–237.
Bogetoft, P. (1996). DEA on relaxed convexity assumptions. Management Science, 42(3), 457–465.
Bogetoft, P., Tama, J. M., & Tind, J. (2000). Convex input and output projections of non-convex production possibility sets. Management Science, 46(7), 858–869.
Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2(6), 429–444.
Emrouznejad, A., & Amin, G. R. (2009). DEA models for ratio data: Convexity consideration. Applied Mathematical Modelling, 33(1), 486–498.
Liu, W. B., Zhang, D. Q., Meng, W., Li, X. X., & Xu, F. (2011). A study of DEA models without explicit inputs. Omega, 39(5), 472–480.
Petersen, N. C. (1990). Data envelopment analysis on a relaxed set of assumptions. Management Science, 36(2), 2143–2145.
Podinovski, V. (2005). Selective convexity in DEA models. European Journal of Operational Research, 161(2), 552–563.