Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 48 Sayı: 1, 312 - 331, 01.02.2019

Öz

Kaynakça

  • Charnes, A. Cooper, W.W. Rhodes, E. Measuring the efficiency of decision making units. European Journal of Operational Research 2, 429--444. 1978.
  • Charnes, A. Cooper, W.W. Golany, B. Halek, R. Klopp, G. Schmitz, E. Thomas, D., Two phase data envelopment analysis approach to policy evaluation and management of army recruiting activities : Trade offs between Joint Services and Army Advertising. Research Report CCS no. 532, Center for Cybernetic Studies, The University of Texas at Austin, Texas. 1986.
  • Chen, Y. Cook, W.D. Li, N. Zhu, J. Additive efficiency decomposition in two stage DEA. European Journal of Operational Research 96, 1170--1176. 2009a.
  • Chen, Y. Liang, L. Zhu, J. Equivalence in two-stage DEA approaches. European Journal of Operational Research 193 (2), 600-604. 2009b.
  • Chen, Y. Cook, W.D. Zhu, J. Deriving the DEA frontier for two-stage processes. European Journal of Operational Research 202, 138--142. 2010.
  • Chen, Y. Cook, W. D. Kao, C., Zhu, J., Network DEA pitfall : Divisional efficiency and frontier projection under general network structures. European Journal of Operational Research 226, 507-515. 2013.
  • Cook, W. D. Seiford L. M. Data envelopment analysis (DEA) thirty years on. European Journal of Operational Research 192, 1-17. 2009.
  • Ebrahimnejad, A., Tavana,M., Hosseinzadeh Lotfi, F., Shahverdi R. and Yousefpour,M., A three-stage data envelopment analysis model with application to banking industry, Mesurement, 49,308-319. 2014a.
  • Ebrahimnejad E. and Tavana, M., An interactive MOLP method for identifying target units in Output-Oriented DEA models : The NATO enlargement problem, Measurement, 52, 124-134. 2014b.
  • Ebrahimnejad, A., Bagherzadeh, M. R., Data envelopment analysis approach for discriminating efficient candidates in voting systems by considering the priority of voters, Hacettepe Journal of Mathematics and Statistics, 49 (1), 165-180. 2016.
  • Hatami-Marbini, A. Ebrahimnejad, A. Lozano, S. Fuzzy efficiency measures in data envelopment analysis using lexicographic multiobjective approach, Computers \& Industrial Engineering, 105, 362--376. 2017.
  • Kao, C. Hwang, S.-N. Efficiency decomposition in two-stage data envelopment analysis : an application to non-life insurance companies in Taiwan. European Journal of Operational Research185 (1), 418--429. 2008.
  • Kao, C. Hwang, S.-N. Decomposition of technical and scale efficiencies in two-stage production systems. European Journal of Operational Research 211,515--519. 2011.
  • Lovell, C.A.K. Walters, L.C. Wood, L.L. Stratified models of education production using modified DEA and regression analysis. In : Charnes, A. Liang, L. Cook, W.D. Zhu, J. 2008. DEA models for two-stage processes : game approach and efficiency decomposition. Naval Research Logistics 55, 643--653. 1994.
  • Mottaghi, A. A. Ebrahimnejad, R. Ezzati, E. Khorram, A data envelopment analysis based approach for target setting and resource allocation : application in gas companies, Hacettepe Journal of Mathematics and Statistics, 45(5), 1553 -1578. 2016.
  • Rho, s. An, J. Evaluating the efficiency of a two stage production process Using data envelopment analysis. International Transactions in Operational Research 14, 395-410. 2007.
  • Seiford, L.M. Zhu, J. Profitability and marketability of the top 55 US commercial banks. Management Science 45, 1270--1288. 1999.
  • Sexton, T.R. Lewis, H.F. Two-stage DEA : An application to major league baseball. Journal of Productivity Analysis 19, 227--249. 2003.
  • Tavana, M., Ebrahimnejad, A., Santos-Arteaga, F. J., Mansourzadeh, S. M., Kazemi Matin, R. , A hybrid DEA-MOLP model for public school assessment and closure decision in the City of Philadelphia, Socio-Economic Planning Sciences, doi.org/10.1016/j.seps.2016.09.003. 2017.
  • Tone, K. Tsutsui, M. Network DEA : a slacks-based measure approach. European Journal of Operational Research 197 (1), 243--252. 2009.
  • Wang, C. H. Gopal, R. Zionts. S. Use of data envelopment analysis in assess in information technology impact on firm performance. Annals of Operation Research73, 191-213. 1997.

Two-stage network DEA with convex hull in intermediate products

Yıl 2019, Cilt: 48 Sayı: 1, 312 - 331, 01.02.2019

Öz

In recent Data envelopment analysis (DEA) literature, many researchers have examined systems with a two-stage network structure and its pitfalls. In these studies, two-stage network systems operations for converting inputs into outputs have been performed in two stages, meanwhile the intermediate products were considered as the outputs from the first stage and as inputs to the second stage. This duality in dealing with intermediate products imposes restrictions on the pricing of these products. In this paper by focusing on the convexity axiom, we define a new production possibility set. The main contributions of this paper are fourfold: (1) we propose models for evaluating the overall efficiency measure of decision making units (DMUs) in a two-stage network structure based on the convex hull in intermediate products; (2) we propose a procedure to determine the target unit of each inefficient DMU; (3) we explain how to calculate the divisional efficiency; (4) we demonstrate the feasibility and richness of the obtained solutions in the context of two examples.

Kaynakça

  • Charnes, A. Cooper, W.W. Rhodes, E. Measuring the efficiency of decision making units. European Journal of Operational Research 2, 429--444. 1978.
  • Charnes, A. Cooper, W.W. Golany, B. Halek, R. Klopp, G. Schmitz, E. Thomas, D., Two phase data envelopment analysis approach to policy evaluation and management of army recruiting activities : Trade offs between Joint Services and Army Advertising. Research Report CCS no. 532, Center for Cybernetic Studies, The University of Texas at Austin, Texas. 1986.
  • Chen, Y. Cook, W.D. Li, N. Zhu, J. Additive efficiency decomposition in two stage DEA. European Journal of Operational Research 96, 1170--1176. 2009a.
  • Chen, Y. Liang, L. Zhu, J. Equivalence in two-stage DEA approaches. European Journal of Operational Research 193 (2), 600-604. 2009b.
  • Chen, Y. Cook, W.D. Zhu, J. Deriving the DEA frontier for two-stage processes. European Journal of Operational Research 202, 138--142. 2010.
  • Chen, Y. Cook, W. D. Kao, C., Zhu, J., Network DEA pitfall : Divisional efficiency and frontier projection under general network structures. European Journal of Operational Research 226, 507-515. 2013.
  • Cook, W. D. Seiford L. M. Data envelopment analysis (DEA) thirty years on. European Journal of Operational Research 192, 1-17. 2009.
  • Ebrahimnejad, A., Tavana,M., Hosseinzadeh Lotfi, F., Shahverdi R. and Yousefpour,M., A three-stage data envelopment analysis model with application to banking industry, Mesurement, 49,308-319. 2014a.
  • Ebrahimnejad E. and Tavana, M., An interactive MOLP method for identifying target units in Output-Oriented DEA models : The NATO enlargement problem, Measurement, 52, 124-134. 2014b.
  • Ebrahimnejad, A., Bagherzadeh, M. R., Data envelopment analysis approach for discriminating efficient candidates in voting systems by considering the priority of voters, Hacettepe Journal of Mathematics and Statistics, 49 (1), 165-180. 2016.
  • Hatami-Marbini, A. Ebrahimnejad, A. Lozano, S. Fuzzy efficiency measures in data envelopment analysis using lexicographic multiobjective approach, Computers \& Industrial Engineering, 105, 362--376. 2017.
  • Kao, C. Hwang, S.-N. Efficiency decomposition in two-stage data envelopment analysis : an application to non-life insurance companies in Taiwan. European Journal of Operational Research185 (1), 418--429. 2008.
  • Kao, C. Hwang, S.-N. Decomposition of technical and scale efficiencies in two-stage production systems. European Journal of Operational Research 211,515--519. 2011.
  • Lovell, C.A.K. Walters, L.C. Wood, L.L. Stratified models of education production using modified DEA and regression analysis. In : Charnes, A. Liang, L. Cook, W.D. Zhu, J. 2008. DEA models for two-stage processes : game approach and efficiency decomposition. Naval Research Logistics 55, 643--653. 1994.
  • Mottaghi, A. A. Ebrahimnejad, R. Ezzati, E. Khorram, A data envelopment analysis based approach for target setting and resource allocation : application in gas companies, Hacettepe Journal of Mathematics and Statistics, 45(5), 1553 -1578. 2016.
  • Rho, s. An, J. Evaluating the efficiency of a two stage production process Using data envelopment analysis. International Transactions in Operational Research 14, 395-410. 2007.
  • Seiford, L.M. Zhu, J. Profitability and marketability of the top 55 US commercial banks. Management Science 45, 1270--1288. 1999.
  • Sexton, T.R. Lewis, H.F. Two-stage DEA : An application to major league baseball. Journal of Productivity Analysis 19, 227--249. 2003.
  • Tavana, M., Ebrahimnejad, A., Santos-Arteaga, F. J., Mansourzadeh, S. M., Kazemi Matin, R. , A hybrid DEA-MOLP model for public school assessment and closure decision in the City of Philadelphia, Socio-Economic Planning Sciences, doi.org/10.1016/j.seps.2016.09.003. 2017.
  • Tone, K. Tsutsui, M. Network DEA : a slacks-based measure approach. European Journal of Operational Research 197 (1), 243--252. 2009.
  • Wang, C. H. Gopal, R. Zionts. S. Use of data envelopment analysis in assess in information technology impact on firm performance. Annals of Operation Research73, 191-213. 1997.
Toplam 21 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular İstatistik
Bölüm İstatistik
Yazarlar

Samira Maleki Bu kişi benim

Ali Ebrahimnejad Bu kişi benim

Reza Kazemi Matin

Yayımlanma Tarihi 1 Şubat 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 48 Sayı: 1

Kaynak Göster

APA Maleki, S., Ebrahimnejad, A., & Matin, R. K. (2019). Two-stage network DEA with convex hull in intermediate products. Hacettepe Journal of Mathematics and Statistics, 48(1), 312-331.
AMA Maleki S, Ebrahimnejad A, Matin RK. Two-stage network DEA with convex hull in intermediate products. Hacettepe Journal of Mathematics and Statistics. Şubat 2019;48(1):312-331.
Chicago Maleki, Samira, Ali Ebrahimnejad, ve Reza Kazemi Matin. “Two-Stage Network DEA With Convex Hull in Intermediate Products”. Hacettepe Journal of Mathematics and Statistics 48, sy. 1 (Şubat 2019): 312-31.
EndNote Maleki S, Ebrahimnejad A, Matin RK (01 Şubat 2019) Two-stage network DEA with convex hull in intermediate products. Hacettepe Journal of Mathematics and Statistics 48 1 312–331.
IEEE S. Maleki, A. Ebrahimnejad, ve R. K. Matin, “Two-stage network DEA with convex hull in intermediate products”, Hacettepe Journal of Mathematics and Statistics, c. 48, sy. 1, ss. 312–331, 2019.
ISNAD Maleki, Samira vd. “Two-Stage Network DEA With Convex Hull in Intermediate Products”. Hacettepe Journal of Mathematics and Statistics 48/1 (Şubat 2019), 312-331.
JAMA Maleki S, Ebrahimnejad A, Matin RK. Two-stage network DEA with convex hull in intermediate products. Hacettepe Journal of Mathematics and Statistics. 2019;48:312–331.
MLA Maleki, Samira vd. “Two-Stage Network DEA With Convex Hull in Intermediate Products”. Hacettepe Journal of Mathematics and Statistics, c. 48, sy. 1, 2019, ss. 312-31.
Vancouver Maleki S, Ebrahimnejad A, Matin RK. Two-stage network DEA with convex hull in intermediate products. Hacettepe Journal of Mathematics and Statistics. 2019;48(1):312-31.