The network data envelopment analysis (NDEA) technique has been recently developed to measure the relative efficiency of complex production systems. NDEA models provide more meaningful and informative results in comparison to the conventional black-box DEA approach that ignores the operations of the component processes. Regarding the centralized decision-making systems, normal management imposes common resource constraints to maximize produced outputs and minimize consumed inputs. The present study seeks to introduce new centralized resource allocation models in two-stage network production systems. This intra-organizational perspective also provides the possibility of closing down some of the existing units to improve system efficiency. To do so, three scenarios of centralized DEA models are introduced to take advantage of this possibility. A simple numerical example is used for illustration purposes. An empirical application of the proposed approach to the twenty branches of a university is also presented to show the applicability of the new approach.
Accepté le :
Première publication :
Publié le :
DOI : 10.1051/ro/2021118
Keywords: Network data envelopment analysis, efficiency, centralized resource allocation, downsizing
@article{RO_2021__55_4_2583_0,
author = {Yadolladi, Amir Hossein and Kazemi Matin, Reza},
title = {Centralized resource allocation with the possibility of downsizing in two-stage network production systems},
journal = {RAIRO. Operations Research},
pages = {2583--2598},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
number = {4},
doi = {10.1051/ro/2021118},
mrnumber = {4305772},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2021118/}
}
TY - JOUR AU - Yadolladi, Amir Hossein AU - Kazemi Matin, Reza TI - Centralized resource allocation with the possibility of downsizing in two-stage network production systems JO - RAIRO. Operations Research PY - 2021 SP - 2583 EP - 2598 VL - 55 IS - 4 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2021118/ DO - 10.1051/ro/2021118 LA - en ID - RO_2021__55_4_2583_0 ER -
%0 Journal Article %A Yadolladi, Amir Hossein %A Kazemi Matin, Reza %T Centralized resource allocation with the possibility of downsizing in two-stage network production systems %J RAIRO. Operations Research %D 2021 %P 2583-2598 %V 55 %N 4 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2021118/ %R 10.1051/ro/2021118 %G en %F RO_2021__55_4_2583_0
Yadolladi, Amir Hossein; Kazemi Matin, Reza. Centralized resource allocation with the possibility of downsizing in two-stage network production systems. RAIRO. Operations Research, Tome 55 (2021) no. 4, pp. 2583-2598. doi: 10.1051/ro/2021118
[1] , and , Intra-Organizational and inter-organizational resource allocation in two stage network systems. Omega 91 (2020) 102009. | DOI
[2] , and , Centralized resource allocation BCC models. Omega 37 (2009) 40–49. | DOI
[3] , Goal programming & data envelopment analysis (GoDEA) for target-based multi-level planning: allocating central grants to the Greek local authorities. Eur. J. Oper. Res. 87 (1995) 535–550. | Zbl | DOI
[4] , Decision support for target-based resource allocation of public services in multiunit and multilevel systems. Manage. Sci. 44 (1998) 173–187. | Zbl | DOI
[5] , , and , Two-stage network DEA: when intermediate measures can be treated as outputs from the second stage. J. Oper. Res. Soc. 66 (2015) 1868–1877. | DOI
[6] , and , Some models for estimating technical and scale inefficiencies in data envelopment analysis. Manage. Sci. 30 (1984) 1078–1092. | Zbl | DOI
[7] , Allocating fixed costs and resources via data envelopment analysis. Eur. J. Oper. Res. 147 (2003) 198–216. | Zbl | DOI
[8] and , Programming with linear fractional functionals. Naval Res. Logistics Q. 9 (1962) 181–186. | MR | Zbl | DOI
[9] , and , Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2 (1978) 429–444. | MR | Zbl | DOI
[10] and , Measuring information technology’s indirect impact on firm performance. Inf. Technol. Manage. 5 (2004) 9–22. | DOI
[11] , and , Deriving the DEA frontier for two-stage processes. Eur. J. Oper. Res. 202 (2010) 138–142. | Zbl | DOI
[12] , , and , DEA model with shared resources and efficiency decomposition. Eur. J. Oper. Res. 207 (2010) 339–349. | MR | Zbl | DOI
[13] , and , Using network centralized data envelopment analysis for shipping line resource allocation. Int. J. Environ. Sci. Technol. 15 (2018) 1777–1792. | DOI
[14] , , , , and , Research performance evaluation of Chinese university: a non-homogeneous network DEA approach. J. Manage. Sci. Eng. in press (2020). DOI: . | DOI
[15] , , and , DEA-based production planning. Omega 38 (2010) 105–112. | DOI
[16] , and , Evaluation of research in efficiency and productivity: a survey and analysis of the first 30 years of scholarly literature in DEA. Soc.-Econ. Plann. Sci. 42 (2008) 151–157. | DOI
[17] and , A survey and analysis of the first 40 years of scholarly literature in DEA: 1978–2016. Soc.-Econ. Plan. Sci. 61 (2018) 4–8. | DOI
[18] and , Resource allocation based on the DEA model. J. Oper. Res. Soc. 59 (2008) 1136–1141. | DOI
[19] , , and , Efficiency of a fixed but allocatable input: a non-parametric approach. Econ. Lett. 56 (1997) 187–193. | Zbl | DOI
[20] , and , Network dea. In: Modeling Data Irregularities and Structural Complexities in Data Envelopment Analysis (2007) 209–240. | Zbl
[21] , The measurement of productive efficiency. J. R. Stat. Soc.: Ser. A (General) 120 (1957) 253–281.
[22] , and , Models for improved effectiveness based on DEA efficiency results. IIE Trans. 25 (1993) 2–10. | DOI
[23] and , Evaluating efficiency-effectiveness-equality trade-offs: a data envelopment analysis approach. Manage. Sci. 41 (1995) 1172–1184. | Zbl | DOI
[24] , , and , Measurement of productivity changes for general network production systems with stochastic data. Sādhanā 44 (2019) 72. | MR | DOI
[25] and , Efficiency decomposition in two-stage data envelopment analysis: an application to non-life insurance companies in Taiwan. Eur. J. Oper. Res. 185 (2008) 418–429. | Zbl | DOI
[26] and , Resource allocation based on efficiency analysis. Manage. Sci. 50 (2004) 1134–1144. | Zbl | DOI
[27] and , Network DEA: efficiency analysis of organizations with complex internal structure. Comput. Oper. Res. 31 (2004) 1365–1410. | Zbl | DOI
[28] and , Centralized resource allocation using data envelopment analysis. J. Prod. Anal. 22 (2004) 143–161. | DOI
[29] and , Centralized DEA models with the possibility of downsizing. J. Oper. Res. Soc. 56 (2005) 357–364. | Zbl | DOI
[30] , and , Centralised reallocation of emission permits using DEA. Eur. J. Oper. Res. 193 (2009) 752–760. | MR | Zbl | DOI
[31] , and , Application of centralised DEA approach to capital budgeting in Spanish ports. Comput. Ind. Eng. 60 (2011) 455–65. | DOI
[32] , , and , On centralized resource utilization and its reallocation by using DEA. Ann. Oper. Res. 221 (2014) 273–283. | Zbl | DOI
[33] , and , An enhanced DEA Russell graph efficiency measure. Eur. J. Oper. Res. 115 (1999) 596–607. | Zbl | DOI
[34] , On network two stages variable returns to scale DEA models. Omega 97 (2020) 102084. | DOI
[35] and , A centralised DEA approach to resource reallocation in Spanish airports. Ann. Oper. Res. 288 (2020) 701–732. | MR | DOI
[36] and , Profitability and marketability of the top 55 US commercial banks. Manage. Sci. 45 (1999) 1270–1288. | DOI
[37] , , , and , Allocating natural resource reduction amounts: a data envelopment analysis based-approach considering production technology heterogeneity. Expert Syst. 36 (2019) e12449. | DOI
[38] , and , Use of data envelopment analysis in assessing information technology impact on firm performance. Ann. Oper. Res. 73 (1997) 191–213. | Zbl | DOI
[39] , and , Measuring the inefficiency of Chinese research universities based on a two-stage network DEA model. J. Inf. 12 (2018) 10–30.
[40] , and , Human resource rightsizing using centralized data envelopment analysis: evidence from Taiwan’s Airports. Omega 41 (2013) 119–130. | DOI
[41] and , Two-stage cooperation model with input freely distributed among the stages. Eur. J. Oper. Res. 205 (2010) 332–338. | Zbl | DOI
[42] , , and , Air pollutant and health-efficiency evaluation based on a dynamic network data envelopment analysis. Int. J. Environ. Res. Publ. Health 15 (2018) 2046. | DOI
[43] , Multi-factor performance measure model with an application to Fortune 500 companies. Eur. J. Oper. Res. 123 (2000) 105–124. | Zbl | DOI
Cité par Sources :





