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Directional returns to scale in data envelopment analysis | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 29، دوره 15، شماره 2، اردیبهشت 2024، صفحه 359-367 اصل مقاله (532.14 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.29727.4245 | ||
| نویسندگان | ||
| Morteza Ebrahimi؛ Hadi Bagherzadeh Valami* ؛ Leila Karamali؛ Zohreh Taeb | ||
| Department of Applied Mathematics, Shahre Rey Branch, Islamic Azad University, Tehran, Iran | ||
| تاریخ دریافت: 18 بهمن 1401، تاریخ بازنگری: 01 اسفند 1401، تاریخ پذیرش: 11 اسفند 1401 | ||
| چکیده | ||
| In evaluating the DMUs, two factors, namely the efficiency and the production size, are considered. When the production size of a unit is not optimal, its RTS determines that changing the resources in which direction, would enhance its productivity. In most past research, RTS is considered to be increasing or decreasing, and frontier analysis is used to determine it. In this paper, a method based on MPSS is developed that in addition to determining the RTS for each unit in a directional manner, the shortest changes in resources for achieving the suitable production size are also obtained. In this approach, the computational complexity and ambiguity in the unit’s RTS are absent. | ||
| کلیدواژه‌ها | ||
| envelopment analysis؛ returns to scale؛ MPSS | ||
| مراجع | ||
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[1] R.D. Banker, A.Charnes and W.W. Cooper, Some models for estimating technical and scale inefficiency in data envelopment analysis, Manag. Sci. 30 (1984), no. 9, 1078–1092. [2] R.D. Banker and A. Maindiratta, Piecewise log-linear estimation of efficient production surfaces, Manag. Sci. 32 (1986), no. 1, 126–135. [3] R. Banker and R.M. Thrall, EEstimation of returns to scale using data envelopment analysis, Eur. J. Oper. Res. 62 (1992), no. 1, 74–84. [4] A. Davoodi, M. Zarepisheh and H. Zhiani Rezai, The nearest MPSS pattern in data envelopment analysis, Ann. Oper. Res. 226 (2015), 163—176. [5] R. Fare, S. Grosskopt and C.K. Lovell, The measurement of efficiency of production, Springer Sci. Bus. Media, 1985. [6] M. Mehdiloozad, B.K. Sahoo and I. Roshdi, A generalized multiplicative directional distance function for efficiency measurement in DEA, Eur. J. Oper. Res. 232 (2014), no. 3, 679–688. [7] L.M. Seiford and J. Zhu, An investigation of returns to scale under data envelopment analysis, Omega 27 (1999), no. 1, 1–11. [8] K. Tone, A slack-based measure of efficiency in data envelopment analysis, Eur. J. Oper. Res. 130 (2009), no. 3, 498–509. | ||
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