Data Envelopment Analysis with Lower Bound on Input to Measure Efficiency Performance of Department in Universitas Malikussaleh

Dahlan Abdullah(1*), Cut Ita Erliana(2), Muhammad Fikry(3),

(1) Scopus ID: 57205132023; Department of Informatics Universitas Malikussaleh, Aceh, Indonesia
(2) Department of Industrial Engineering, Universitas Malikussaleh, Aceh Utara, Aceh
(3) Life Science and System Engineering Kyushu Institute of Technology
(*) Corresponding Author


DEA has become one of the most appropriate methods for comparing the various Decision-Making Units (DMU) associated with public services such as universities.  There are two primary outputs that can be used to measure college performance, namely: the number of graduates and the number of publications.  While the primary input of college efficiency measurement is the number of teaching staff and the number of students.  The higher learning institution is  Universitas Malikussaleh, located in Lhokseumawe, a city in the Aceh province of Indonesia. This paper develops a method to evaluate the efficiency of all departments in Universitas Malikussaleh using DEA with bounded input. The extreme dissimilarity between the weights often found in DEA applications. In this paper, we develop a new DEA model, which can be transformed into a particular case of the bi-level linear program to calculate the lower boundary of input from the pessimistic viewpoints based on the shortcomings of the existing approaches. In the case of having a single input, providing lower bounds for the input weights by imposing the conditions that it uses for the average input level of the DMU being assessed uses per unit of output.  Accordingly, we present some essential differences inefficiency of those departments. Finally, we discuss the effort that should be made by these departments in order to become efficient

Full Text:


Article Metrics

Abstract view : 599 times
PDF - 50 times


T. Rosenmayer, “Using Data Envelopment Analysis: A Case of Universities,” Rev. Econ. Perspect., vol. 14, no. 1, Jan. 2014.

N. Hussein, S. Omar, F. Noordin, and N. A. Ishak, “Learning Organization Culture, Organizational Performance and Organizational Innovativeness in a Public Institution of Higher Education in Malaysia: A Preliminary Study,” Procedia Econ. Finance, vol. 37, pp. 512–519, 2016.

Etzkowitz, “University-Industry-Government Interaction: The Triple Helix Model of Innovation,” Asia Pac. Tech Monit., vol. 24, no. 1, pp. 14–23, 2007.

J. Wu, P. Yin, J. Sun, J. Chu, and L. Liang, “Evaluating the environmental efficiency of a two-stage system with undesired outputs by a DEA approach: An interest preference perspective,” Eur. J. Oper. Res., vol. 254, no. 3, pp. 1047–1062, Nov. 2016.

Y. G. Smirlis, E. K. Maragos, and D. K. Despotis, “Data envelopment analysis with missing values: An interval DEA approach,” Appl. Math. Comput., vol. 177, no. 1, pp. 1–10, Jun. 2006.

D. Abdullah, Tulus, S. Suwilo, S. Effendi, and Hartono, “DEA Optimization with Neural Network in Benchmarking Process,” IOP Conf. Ser. Mater. Sci. Eng., vol. 288, p. 012041, Jan. 2018.

W. W. Cooper, J. T. Pastor, F. Borras, J. Aparicio, and D. Pastor, “BAM: a bounded adjusted measure of efficiency for use with bounded additive models,” J. Product. Anal., vol. 35, no. 2, pp. 85–94, Apr. 2011.

M. Branda, “Reformulations of input–output oriented DEA tests with diversification,” Oper. Res. Lett., vol. 41, no. 5, pp. 516–520, Sep. 2013.

W. Liu, Y.-M. Wang, and S. Lyu, “The upper and lower bound evaluation based on the quantile efficiency in stochastic data envelopment analysis,” Expert Syst. Appl., vol. 85, pp. 14–24, Nov. 2017.

T. Hassani and M. Rostamy-Malkhalifeh, “Efficiency of decision making units in network DEA using interval data,” p. 8, 2016.

T. Entani, Y. Maeda, and H. Tanaka, “Dual models of interval DEA and its extension to interval data,” Eur. J. Oper. Res., vol. 136, no. 1, pp. 32–45, Jan. 2002.

T. Entani and H. Tanaka, “Improvement of efficiency intervals based on DEA by adjusting inputs and outputs,” Eur. J. Oper. Res., vol. 172, no. 3, pp. 1004–1017, Aug. 2006.

B. Rahmani Parchikolaei, “The lower limit of interval efficiency in Data Envelopment Analysis,” Data Envel. Anal. Decis. Sci., vol. 2015, no. 1, pp. 58–66, 2015.

Y.-M. Wang and J.-B. Yang, “Measuring the performances of decision-making units using interval efficiencies,” J. Comput. Appl. Math., vol. 198, no. 1, pp. 253–267, Jan. 2007.

H. Azizi and Y.-M. Wang, “Improved DEA models for measuring interval efficiencies of decision-making units,” Measurement, vol. 46, no. 3, pp. 1325–1332, Apr. 2013.

N. Ramón, J. L. Ruiz, and I. Sirvent, “A multiplier bound approach to assess relative efficiency in DEA without slacks,” Eur. J. Oper. Res., vol. 203, no. 1, pp. 261–269, May 2010.

L. Fang and H. Li, “Lower bound of cost efficiency measure in DEA with incomplete price information,” J. Product. Anal., vol. 40, no. 2, pp. 219–226, Oct. 2013.

W. Briec, B. Dervaux, H. Leleu, W. Briec, B. Dervaux, and H. Leleu, A DEA Estimation of a Lower Bound for Firms’ Allocative Efficiency Without Information on Price Data. 2007.

D. Abdullah, T. Tulus, S. Suwilo, S. Efendi, M. Zarlis, and H. Mawengkang, “A Research Framework for Data Envelopment Analysis with Upper Bound on Output to Measure Efficiency Performance of Higher Learning Institution in Aceh Province,” Int. J. Adv. Sci. Eng. Inf. Technol., vol. 8, no. 2, 2018.

A. Charnes, W. W. Cooper, and E. Rhodes, “Measuring the efficiency of decision-making units,” Eur. J. Oper. Res., vol. 3, no. 4, p. 339, Jul. 1979.

K. Tone, “A slacks-based measure of eciency in data envelopment analysis,” Eur. J. Oper. Res., p. 12, 2001.


Copyright (c) 2020 International Journal of Artificial Intelligence Research


International Journal Of Artificial Intelligence Research

Organized by: Departemen Teknik Informatika STMIK Dharma Wacana
Published by: STMIK Dharma Wacana
Jl. Kenanga No.03 Mulyojati 16C Metro Barat Kota Metro Lampung
phone. +62725-7850671
Fax. +62725-7850671
Email: | 

View IJAIR Statcounter

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.