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Global Criterion Approach for the Solution of Multiple Criteria Data Envelopment Analysis Model: An Application at Packaging Waste Collection and Separation Facilities

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  • Talip Arsu
  • Nurullah Umarusman

Abstract

Adverse effects of packaging waste on the environment and economic losses resulting from the use of untouched resources have made the recycling process compulsory. The success of the collection and separation of packaging waste, which are the most important phases in the recycling process, depends on the effective management of these processes. In this paper, we analyzed the efficiency of 14 collection and separation facilities. A Global- Multiple Criteria Data Envelopment Analysis model (G-MCDEA) based on a global criterion method was proposed for the solution of the multiple criteria data envelopment analysis model, which is organized as a three-objective multiple objective linear programming model. With the proposed model, the three objective functions were transformed into a single objective function, and the normalized grades of the distance from the ideal solution was calculated for each decision making unit. In this was it was determined which objective was closer to the global activity achieved.

Suggested Citation

  • Talip Arsu & Nurullah Umarusman, 2020. "Global Criterion Approach for the Solution of Multiple Criteria Data Envelopment Analysis Model: An Application at Packaging Waste Collection and Separation Facilities," Alphanumeric Journal, Bahadir Fatih Yildirim, vol. 8(1), pages 79-96, June.
  • Handle: RePEc:anm:alpnmr:v:8:y:2020:i:1:p:79-96
    DOI: https://doi.org/10.17093/alphanumeric.625946
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    References listed on IDEAS

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    1. Charnes, A. & Cooper, W. W. & Golany, B. & Seiford, L. & Stutz, J., 1985. "Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 91-107.
    2. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    3. Donald N. Dewees & Michael J. Hare, 1998. "Economic Analysis of Packaging Waste Reduction," Canadian Public Policy, University of Toronto Press, vol. 24(4), pages 453-470, December.
    4. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    5. Ghasemi, M.-R. & Ignatius, Joshua & Emrouznejad, Ali, 2014. "A bi-objective weighted model for improving the discrimination power in MCDEA," European Journal of Operational Research, Elsevier, vol. 233(3), pages 640-650.
    6. Charnes, A. & Cooper, W. W. & Seiford, L. & Stutz, J., 1982. "A multiplicative model for efficiency analysis," Socio-Economic Planning Sciences, Elsevier, vol. 16(5), pages 223-224.
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    More about this item

    Keywords

    Data Envelopment Analysis; Global Criterion Method; Global- Multiple Criteria Data Envelopment Analysis; Multiple Criteria Data Envelopment Analysis; Packaging Waste;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques

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