Determining and Ranking Efficiency of Various Product Grades Produced in Jam Polyethylene Plants using Fuzzy Data Envelopment Analysis
الموضوعات : International Journal of Data Envelopment Analysis
Mehdi Abbasi
1
,
Mohammad Reza Tahaee Khosroshahi
2
1 - Department of Industrial Engineering, Islamic Azad University, Shiraz, Iran
2 - Department of Industrial Engineering, Islamic Azad University, Shiraz, Iran
الکلمات المفتاحية: Fuzzy Data Envelopment Analysis, Efficiency, Ranking, Polyethylene.,
ملخص المقالة :
With the growing trend in globalization and market competitiveness, process and resource optimization and the production of highly efficient products have become among the concerns of corporate managers. This research aims to evaluate and rank different polyethylene product grades produced at the Jam Petrochemical Complex using the Fuzzy Data Envelopment Analysis (FDEA) based upon fuzzy arithmetic [1]. The input-oriented fuzzy BCC model was suitable and applied to obtain the fuzzy efficiencies of different grades of polyethylene produced at the Jam Petrochemical Complex (13 DMUs) based on identified input and output indicators (Two inputs and three outputs). Then, a preference-degree approach is applied to compare and rank fuzzy DMU efficiencies. Based on the results, products HD52518, HD52505UV, and HM9450F were ranked first to third, respectively. The results highlight significant disparities in efficiency among the grades, providing a basis for targeted improvements.
[1] Y. M. Wang, Y. Luo, and L. Liang, “Fuzzy data envelopment analysis based upon fuzzy arithmetic with an application to performance assessment of manufacturing enterprises,” Expert Syst Appl, vol. 36, no. 3 PART 1, pp. 5205–5211, 2009.
[2] M. J. Farrell, “The Measurement of Productive Efficiency,” J R Stat Soc Ser A, vol. 120, no. 3, p. 253, 1957.
[3] 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, 1979.
[4] R. D. Banker, A. Charnes, and W. W. Cooper, “Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis,” Manage Sci, vol. 30, no. 9, pp. 1078–1092, 1984.
[5] P. Andersen and N. C. Petersen, “A Procedure for Ranking Efficient Units in Data Envelopment Analysis,” Manage Sci, vol. 39, no. 10, pp. 1261–1264, 1993.
[6] W. W. Cooper, L. M. Seiford, and K. Tone, Data envelopment analysis: a comprehensive text with models, applications, references and DEA-solver software, vol. 2. Springer, 2007.
[7] A. Charnes, W. W. Cooper, L. Seiford, and J. Stutz, “A multiplicative model for efficiency analysis,” Socioecon Plann Sci, vol. 16, no. 5, pp. 223–224, 1982.
[8] K. Tone, “A slacks-based measure of efficiency in data envelopment analysis,” Eur J Oper Res, vol. 130, no. 3, pp. 498–509, 2001.
[9] M. Abbasi and M. A. Kaviani, “Operational efficiency-based ranking framework using uncertain DEA methods,” Management Decision, vol. 54, no. 4, pp. 902–928, 2016.
[10] R. G. Dyson and E. A. Shale, “Data envelopment analysis, operational research and uncertainty,” Journal of the Operational Research Society, vol. 61, no. 1, pp. 25–34, 2010.
[11] R. Sala-Garrido, F. Hernández-Sancho, and M. Molinos-Senante, “Assessing the efficiency of wastewater treatment plants in an uncertain context: A DEA with tolerances approach,” Environ Sci Policy, vol. 18, pp. 34–44, 2012.
[12] Y. Han, Z. Geng, Q. Zhu, and Y. Qu, “Energy efficiency analysis method based on fuzzy DEA cross-model for ethylene production systems in chemical industry,” Energy, vol. 83, pp. 685–695, 2015.
[13] A. Mardani, E. K. Zavadskas, D. Streimikiene, A. Jusoh, and M. Khoshnoudi, “A comprehensive review of data envelopment analysis (DEA) approach in energy efficiency,” Renewable and Sustainable Energy Reviews, vol. 70, no. May, pp. 1298–1322, 2017.
[14] J. Du, L. Liang, Y. Chen, and G. bing Bi, “DEA-based production planning,” Omega (Westport), vol. 38, no. 1–2, pp. 105–112, 2010.
[15] M. Ghiyasi and S. Mokhberian, “Environmental Performance Assessment of Iranian Gas Refineries: A Non-Parametric Approach,” Journal of Environmental Assessment Policy and Management, vol. 26, no. 02, p. 2450006, Mar. 2024.
[16] S. C. D’Angelo, M. Bregy, P. Steiner, R. Calvo-Serrano, and G. Guillén-Gosálbez, “Data Envelopment Analysis of Ammonia and Methanol as Sustainable Energy Storage Vectors,” in Computer Aided Chemical Engineering, vol. 52, A. C. Kokossis, M. C. Georgiadis, and E. Pistikopoulos, Eds., Elsevier, 2023, pp. 2489–2494.
[17] S. Tabatabaei, M. R. Mozaffari, M. Rostamy-Malkhalifeh, and F. Hosseinzadeh Lotfi, “Fuzzy efficiency evaluation in relational network data envelopment analysis: application in gas refineries,” Complex and Intelligent Systems, 2022.
[18] C. Peng, D. Feng, and S. Guo, “Material selection in green design: A method combining dea and topsis,” Sustainability (Switzerland), vol. 13, no. 10, May 2021, doi: 10.3390/su13105497.
[19] V. Ahmadi and A. Ahmadi, “Application of Data Envelopment Analysis in manufacturing industries of Iran,” INTERDISCIPLINARY JOURNAL OF CONTEMPORARY RESEARCH IN BUSINESS, vol. 4, no. 8, pp. 534–544, 2012.
[20] A. Lotfi, M. Khan-mohammadi, and K. Ghazanfari, “Assessment of Efficiency and Ranking Chemical Industries Companies in Stock Exchange of Tehran by Using VAHP Model,” vol. 5, no. 12, pp. 1557–1565, 2013.
[21] M. Xin and Y. Sun, “Research on Evaluation of Petroleum Chemical Industry Park Ecological Level based on Data Envelopment Analysis,” International Journal of Advances in Management Science, vol. 3, no. 1, pp. 22–25, 2014.
[22] S. Agarwal, “Efficiency Measure by Fuzzy Data Envelopment Analysis Model,” Fuzzy Information and Engineering, vol. 6, no. 1, pp. 59–70, 2014.
[23] M. Goto, A. Otsuka, and T. Sueyoshi, “DEA (Data Envelopment Analysis) assessment of operational and environmental efficiencies on Japanese regional industries,” Energy, vol. 66, pp. 535–549, 2014.
[24] T. Sueyoshi and M. Goto, “DEA radial measurement for environmental assessment: A comparative study between Japanese chemical and pharmaceutical firms,” Appl Energy, vol. 115, pp. 502–513, 2014.
[25] Z. Wang and C. Feng, “A performance evaluation of the energy, environmental, and economic efficiency and productivity in China: An application of global data envelopment analysis,” Appl Energy, vol. 147, pp. 617–626, 2015.
[26] R. Mohapatra, “Ranking of Efficient States of India on the Basis of Performances in Secondary Education : An Application of Super Efficiency Models,” vol. 5, no. 12, pp. 1–15, 2015.
[27] A. A. Hosseinzadeh, F. Hosseinzadeh Lotfi, and Z. Moghaddas, “Fuzzy efficiency: Multiplier and enveloping CCR models,” International Journal of Industrial Mathematics, vol. 8, no. 1, pp. 1–9, 2016.
[28] A. Valadkhani, I. Roshdi, and R. Smyth, “A multiplicative environmental DEA approach to measure efficiency changes in the world’s major polluters,” Energy Econ, vol. 54, pp. 363–375, 2016.
[29] S. S. Chauhan and P. Kotecha, “An efficient multi-unit production planning strategy based on continuous variables,” Appl Soft Comput, vol. 68, p. 2018, 2018.
[30] F. Bennis and R. K. Bhattacharjya, Nature-inspired methods for metaheuristics optimization: Algorithms and applications in science and engineering, vol. 16. Springer, 2020.
[31] Y. M. Wang, Y. Luo, and L. Liang, “Fuzzy data envelopment analysis based upon fuzzy arithmetic with an application to performance assessment of manufacturing enterprises,” Expert Syst Appl, vol. 36, no. 3 PART 1, pp. 5205–5211, 2009.
[32] M. Arana-Jiménez, M. C. Sánchez-Gil, and S. Lozano, “A fuzzy DEA slacks-based approach,” J Comput Appl Math, vol. 404, p. 113180, 2022.
[33] M. Bagheri, A. Ebrahimnejad, S. Razavyan, F. Hosseinzadeh Lotfi, and N. Malekmohammadi, “Fuzzy arithmetic DEA approach for fuzzy multi-objective transportation problem,” Operational Research, vol. 22, no. 2, pp. 1479–1509, 2022.
[34] M. Akram, S. M. U. Shah, M. M. A. Al-Shamiri, and S. A. Edalatpanah, “Extended DEA method for solving multi-objective transportation problem with Fermatean fuzzy sets,” Aims Mathematics, vol. 8, no. 1, pp. 924–961, 2023.
[35] M. Akram, S. Shahzadi, S. M. U. Shah, and T. Allahviranloo, “A fully Fermatean fuzzy multi-objective transportation model using an extended DEA technique,” Granular Computing, vol. 8, no. 6, pp. 1173–1204, 2023.
[36] W. W. Cooper, L. M. Seiford, and K. Tone, Introduction to Data Envelopment Analysis and Its Uses. 2006.
