Time-staged outputs in production process: A DEA-Based Approach

Subject Areas : Statistics

S.  Seyedboveir ¹ (Department of mathematics, Abadan Branch, Islamic Azad University, Abadan, Iran.)
M.  Maghbouli ² (Department of mathematics, Hadishahr Branch, Islamic Azad University, Hadishahr, Iran.)
F.  Matrood ³ (Department of mathematics, Abadan Branch, Islamic Azad University, Abadan, Iran.)

Received: 2017-12-24 Accepted : 2018-12-18 Published : 2019-11-01

Keywords: تحلیل پوششی داده ها, دوره زمانی و کارایی, خروجی هایی با تاخیر زمانی,

Abstract :

This paper examines the issue of handling outputs in DEA that occur at different stages in time. In some situations, the output set occur at the different period of time, meaning that the produced outputs at the first period of time impact on the production of outputs of next time . This problem setting gives rise to the phenomenon of time-staged outputs. Specifically, the two outputs occur at different points in time, meaning that one of them plays a dual role. In other words, the dual-role measure is considered as either the output of the first stage and simultaneously as input for another time period. This paper demonstrates a modification of the joint technology in order to yield the maximum efficiency of the evaluated units. A real case on ten business schools has been illustrated . This real example is applied to emphasize that the suggested structure can handle this situation appropriately.

References:

1. Amirteimoori, A., Emrouznezhad,A.(2012), Notes on Classifying inputs and outputs in data envelopment analysis, Applied Mathematics Letter, 25(11), 1625-1628.

2. Beasley, J. (1990), Comparing university Departments, Omega, 8(2), 171-183.

3. Beasley, J. (1995), Determining teaching and research efficiencies, Journal of the Operational Research Society, 46,441-452.

4. Chen, W.C. (2014), Revisiting dual‐role factors in DEA: derivation and implications, IIE Transactions, 46(7), 653‐663

5. Cook, W.D., Green, R.H., Zhu, J. (2006), Dual-role factors in data envelopment analysis,IIETransaction, 38(2), 105-115.

6. Cook, W.D., Zhu, J.(2007), Classifying inputs and outputs in data envelopment analysis, European Journal of Operational Research, 180, 692-699.

7. Ding, J., Dong, W., Bi, G., Liang, L. (2015), ADecision model for supplier selection in the presence of

Dual-role factors, Journal of the Operational Research Society 66(5), 737-746.

8. Sacoto, S.A., Castorena, D.G., Cook, W.D., Delgado, H.C. (2015), Time-Staged Outputs in DEA, Omega, 55, 1-9.

9. Saen, R.F. (2010), A New model for selecting third-party reverse logistics providers in the presences of multiple dual-role factors, The International Journal of Advanced Manufacturing Technology ,46(1), 405-410.

10.Toloo, M. (2009), Notes on classifying inputs and outputs in data envelopment analysis: A comment, European Journal of Operational Research, 235(3), 810-812.

11. Toloo, M., Barat, M. (2015),On considering dual-role factor in supplier selection problem,

Mathematical Methods of Operations Research 82(1), 107-122.

12. Toloo, M., Keshavarz, E., Hatami-Marbini, A. (2018), Dual-role factors for imprecise Data Envelopment Analysis, Omega, 77, 15-31.