Performance evaluation of production systems with network structure has been widely studied in recent data envelopment analysis (DEA) literature. Production systems in which outputs of some stages are consumed as the inputs of some other stages in producing final outputs. In real world applications, production processes are often complex and may produce not only desirable but also undesirable intermediate or final outputs. In this paper modelling a general network DEA is considered in the presence of undesirable outputs. A weak disposable production set consistent with undesirable outputs is introduced and some network DEA models are also proposed for performance evaluation of the production units. The proposed method is illustrated by some numerical example, including an empirical application.
Accepté le :
DOI : 10.1051/ro/2017022
Mots-clés : Network DEA, intermediate products, undesirable outputs, weak disposable technology
@article{RO_2018__52_1_17_0,
author = {Kalhor, Amir and Matin, Reza Kazemi},
title = {Performance evaluation of general network production processes with undesirable outputs: {A} {DEA} approach},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {17--34},
publisher = {EDP-Sciences},
volume = {52},
number = {1},
year = {2018},
doi = {10.1051/ro/2017022},
zbl = {1397.90164},
mrnumber = {3812466},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2017022/}
}
TY - JOUR AU - Kalhor, Amir AU - Matin, Reza Kazemi TI - Performance evaluation of general network production processes with undesirable outputs: A DEA approach JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2018 SP - 17 EP - 34 VL - 52 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2017022/ DO - 10.1051/ro/2017022 LA - en ID - RO_2018__52_1_17_0 ER -
%0 Journal Article %A Kalhor, Amir %A Matin, Reza Kazemi %T Performance evaluation of general network production processes with undesirable outputs: A DEA approach %J RAIRO - Operations Research - Recherche Opérationnelle %D 2018 %P 17-34 %V 52 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2017022/ %R 10.1051/ro/2017022 %G en %F RO_2018__52_1_17_0
Kalhor, Amir; Matin, Reza Kazemi. Performance evaluation of general network production processes with undesirable outputs: A DEA approach. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 1, pp. 17-34. doi : 10.1051/ro/2017022. http://www.numdam.org/articles/10.1051/ro/2017022/
, and , Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2 (1978) 429–444 | DOI | MR | Zbl
and , Nonparametric Productivity Analysis with Undesirable Outputs. Am. J. Agr. Econ. 85 (2003) 1070–1074. | DOI
, Weak disposability in nonparametric production analysis with undesirable outputs. Am. J. Agr. Econ. 87 (2005) 1077–1082. | DOI
and , Weak disposability in nonparametric production analysis: Reply to Färe and Grosskopf. Am. J. Agr. Econ. 91 (2009) 539–545. | DOI
A. Charnes, W.W. Cooper, B. Golany, R. Halek, G. Klopp and E. Schmitz, Two-phase data envelopment analysis approaches to policy evaluation and management of army recruiting activities: Tradeoffs between joint services and army advertising. Research Report CCS No. 532. Center for Cybernetic Studies, University of Texas-Austin, Austin, TX (1986).
and , An intermediate input model of dairy production using complex survey data. J. Agric. Econ. 46 (1995) 201–213. | DOI
and , Productivity and intermediate products: A frontier approach. Econom. Lett. 50 (1996) 65–70. | DOI | Zbl
and , Network DEA. Socio-Economic Planning Sciences 34 (2000) 35–49. | DOI
, Network data envelopment analysis: a review. Eur. J. Oper. Res. 239 (2014) 1–16. | DOI | MR | Zbl
, and , A unified classification of two-stage DEA models. Surveys in Operations Research and Management Science 19 (2014) 1–16. | DOI | MR
and , Undesirable factors in multi-component performance measurement. Appl. Math. Comput. 171 (2005) 721–729. | MR | Zbl
and , A slacks-based inefficiency measure for a two-stage system with bad outputs. Omega 38 (2010) 398–409. | DOI
, and , Estimating two-stage slacks-based inefficiency: An application to Bangladesh banking. Omega 41 (2013) 88–96. | DOI
, and , Network DEA approach to airports performance assessment considering undesirable outputs. Appl. Math. Model. 37 (2013) 1665–1676. | DOI | Zbl
, and , Two-stage network structures with undesirable outputs: a DEA based approach. Measurement 48 (2014) 109–118. | DOI
, and , Efficiency evaluation of Chinese regional industrial systems with undesirable factors using a two stage slacks based measure approach. J. Cleaner Prod. 87 (2015) 348–356. | DOI
W. Liu, Z. Zhou, C. Ma, D. Liu and W. Shen, Two stage DEA Models with undesirable input intermediate outputs. Omega (2015), in press.
, , and , Two Stage Network Structures with Undesirable Intermediate Outputs Reused: A DEA Based Approach. Comput. Econ. 6 (2015) 455–477. | DOI
S. Lozano, Slacks based inefficiency approach for general networks with bad outputs: An application to the banking sector. Omega (2015), in press.
R.W. Shephard, Theory of Cost and Production Functions. Princeton University Press, Princeton (1970). | MR | Zbl
and , A unified network-DEA model for performance measurement of production systems. Measurement 60 (2015) 186–193. | DOI
, and , Benefit and distance functions. J. Econ. Theory 70 (1996) 407–419. | DOI | Zbl
, and , Profit, directional distance functions, and Nerlovian efficiency. J. Optim. Theory Appl. 98 (1998) 351–364. | DOI | MR | Zbl
, Measuring physical efficiency of domestic airports in Taiwan with undesirable outputs and environmental factors. J. Air Transp. Manage. 10 (2004) 295–303. | DOI
and , Efficiency, scale economies, and the risk/return performance of real estate investment trusts. J. Real Estate Finance 31 (2005) 301–317. | DOI
, , and , Impact of undesirable outputs on the productivity of US airports. Transp. Res. Part E 44 (2008) 235–259. | DOI
, , and , Productivity growth of Taiwan’s major domestic airports in the presence of aircraft noise. Transp. Res. Part E 44 (2008) 543–554. | DOI
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