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IJSTR >> Volume 8 - Issue 11, November 2019 Edition



International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616



Evaluation Of Slack Based Efficiency Of A Decision Making Unit

[Full Text]

 

AUTHOR(S)

B. Venkateswarlu, B. Mahaboob, C. Narayana, C. Subbarami Reddy

 

KEYWORDS

Decision Making Unit (DMU), Output pure Technical efficiency (OPTE), Out Overall Technical efficiency (OOTE), Out Put Scale Efficiency (OSE), Slack based efficiency, Technical Efficiency(TE), Technical Efficiency Scores(TESs),Weighted Per Capita(WPC),Overall Performance (OP)

 

ABSTRACT

Data Envelopment Analysis has manifested itself as an outstanding data-oriented performance evaluation method when multiple outputs and inputs appear in a set of peer Decision Making Units (DMUs).This research article primarily focuses on the estimation of slack based measure of efficiency of a DMU. In terms of Shepard’s distance functions, Farrell Efficiency (FE), Output Pure Technical Efficiency (OPTE), Output Overall Technical Efficiency (OOTE) and Output Scale Efficiency (OSE) has been proposed here. A Fractional Programming Problem (FPP) has been evaluated in order to compute the slack based measure of efficiency of a DMU and the definition of output distance function and its properties are also presented. Furthermore this paper proposes a slack based efficiency measurement problem as a fractional programming problem which is transformed into a linear programming problem.

 

REFERENCES

[1] Hoda Golshani, Robabeh Eslami (2019),”A slack-based super efficiency in a two stage network Structure with intermediate measures”, “Alexandria Engineering Journal”, Vol58, pages393-400.
[2] Kristina kocisova, Beata Gavurova, Anna Kotaskova (2018),”A slack –based measure of agricultural Efficiency in the European Union Countries,” Journal of International Studies, 11(1); 189-200.
[3] Shephard R.W (1970) “The Theory of Cost and Production Function “, Princeton University Press, Princeton
[4] H. Poor) Farell, M J, (1957), "The Measurement of Productive efficiency", Journal of Royal Statistical Society, Series-A, 120, 253-290
[5] Tessa Vanina Soetanto, Liem pei Fun [2015], ‘Super Slack-Based Model Efficiency and stock performance of Manufacturing Industry listed in Indonesian stock Exchange’ 2nd Global conference on Business and Social Science, Since Direct, Procedia-Social and Behavioral Sciences, pp:1231-1239
[6] Barbara A Mark, Bland Jones and Lisa Lindley (2009), “An Examination of Technical Efficiency, Quality and Patient Safety in Acute care Nursing Units”, Policy Poit Nurs Pract, Pp.180-186, doi: 10.1177/1527154409346322
[7] S. Nuti, C Daraio and M Vainieri (2011), “Relationships between technical efficiency and the quality and costs of health care in Italy, International journal for Quality in Health Care, Pp. 324-330
[8] Gahe Zing Samuel Yannik, Zhao Hongzhong, Belinga Thierry (2016), ‘Technical efficiency assessment using data envelopment analysis: An application to the banking sector of Cate d’ in 12th international journal strategic Management Conference, ISMC-2016, Antalya, Turkey
[9] Cooper, Seiford, R. Thanassoulis, E. Zanakin (2004), “European journal of operations research”, pp: 332-344
[10] J. Williams, Fare, Zelenyak (2003), “On aggregate Farrell efficiencies”, “European journal of Operations research”, pp: 615-620.
[11] Electrical Tone K. (2001), “A Slack-Based Measure of Efficiency in Data Envelopment Analysis”, European Journal of Operation Research, 130, 498-509.
[12] Eng., Timmer, C P, (1971), "Using a Probabilistic Frontier Production Function to Measure Technical Efficiency", Journal of Political Economy, 79, 776-794.
[13] Smita Verma, Ankit Kumavat and Anita Biswas [2015], ‘Measurement of Technical Efficiency using DEA: A case of Indian Textile Industry’, ICAESAM, LONDON (UK)
[14] Green, W H, (1980) "Maximum likelihood Estimation of Econometric Frontier Functions’, Journal of Econometrics, Vol. (13). pp. 21-56.
[15] Kalirajan, K (1985), ‘On measuring Absolute Technical and Allocative efficiencies’, Sankhya, Series-B, Vol. (47), pp. 385-400
[16] B. Venkateswarlu et.al (2015),”Efficiency Evaluation of Total Manufacturing Sectors of India-DEA Approach”, Global journal of Pure and Applied Mathematics, Vol. (11), Pp. 3145-3155
[17] B. Venkateswarlu, et.al (2009), “Assurance region efficiency of Total manufacturing sectors of Indian States”, Asian journal of Economics and Econometrics, Vol. 9, pp.75- 84
[18] Venkateswarlu B. Mahaboob B., Subbarami Reddy, C., & Madhusudhana Rao, B. (2017). Fitting of full Cobb-Douglas and full VRTS cost frontiers by solving goal programming problem. Paper presented at the IOP Conference Series: Materials Science and Engineering, 263(4) doi:10.1088/1757-899X/263/4/042127
[19] L. Hubert Venkateswarlu, B., Mahaboob, B., Subbarami Reddy, C., & Ravi Sankar, J. (2017). A study on technical efficiency of a DMU (review of literature). Paper presented at the IOP Conference Series: Materials Science and Engineering, 263(4) doi:10.1088/1757-899X/263/4/042124.
[20] Venkateswarlu, B., Mubashir Unnissa, M., & Mahaboob, B. (2016). Estimating cost analysis using goal programming. Indian Journal of Science and Technology, 9(44) doi:10.17485/ijst/2016/v9i44/97966.
[21] Vijay Prasad, S., Peter Praveen, J., Tiwari, A., Prasad, K., Bindu, P., Donthi, R., & Mahaboob, B. (2018). An application of LPP - graphical method for solving multi server queuing model. International Journal of Mechanical Engineering and Technology, 9(1066-1069).
[22] Hanumantha Rao, S., Vasanta Kumar, V., Srinivasa Rao, T., & Srinivasa Kumar, B. (2016). A two-phase unreliable M/Ek/1 queueing system with server startup, N-policy, delayed repair and state dependent arrival rates. Global Journal of Pure and Applied Mathematics, 12(6), 5387-5399.
[23] Rao, S. H., Kumar, V. V., Rao, T. S., & Kumar, B. S. (2016). M/M/1 two-phase gated queueing system with unreliable server and state dependent arrivals. International Journal of Chemical Sciences, 14(3), 1742-1754.
[24] Hanumantha Rao, S., Vasanta Kumar, V., Srinivasa Rao, T., & Srinivasa Kumar, B. (2018). Analysis of batch arrival two-phase Mx/M/1 queueing system with impatient customers and unreliable server. Journal of Advanced Research in Dynamical and Control Systems, 10(2), 348-356.
[25] Rao, H., Kumar, V., Srinivasa Rao, T., & Srinivasa Kumar, B. (2018). Optimal control of M/M/1 two-phase queueing system with state-dependent arrival rate, server breakdowns, delayed repair, and N-policy. Paper presented at the Journal of Physics: Conference Series, , 1000(1) doi:10.1088/1742-6596/1000/1/012031.
[26] Vasanta Kumar, V., Srinivasa Rao, T., & Srinivasa Kumar, B. (2018). Queuing system with customer reneging during vacation and breakdown times. Journal of Advanced Research in Dynamical and Control Systems, 10(2), 381-385.