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Alternative Trade-Offs in Data Envelopment Analysis: An Application to Hydropower Plants

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  • Mohsen Mirzaei
  • Sohrab Kordrostami
  • Alireza Amirteimoori
  • Mehrdad G. Chegini

Abstract

In multidimensional input/output space, the behavior of the firms can be analyzed by using efficient frontier or supporting surfaces of production technology. To this end, mathematicians are interested to use marginal rates of substitutions. The piecewise linear frontier of data envelopment analysis (DEA) technology is not differentiable at the extreme points and marginal rates calculation is valid only for small changes in one or more variables. The existing trade-off analysis methods calculate the maximum changes in a specific throughput when another throughput is changed. We will show that binding efficient supporting surfaces of an efficient point may be used to define different marginal rates of substitutions and in this sense, we get different marginal rates to each frontier point.

Suggested Citation

  • Mohsen Mirzaei & Sohrab Kordrostami & Alireza Amirteimoori & Mehrdad G. Chegini, 2016. "Alternative Trade-Offs in Data Envelopment Analysis: An Application to Hydropower Plants," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-8, January.
    • Handle: RePEc:hin:jnlmpe:1531282
    DOI: 10.1155/2016/1531282
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    Cited by:

    1. Usman Akbar & Muhammad Asif Khan & Marryum Akmal & Éva Zsuzsanna Tóth Naárné & Judit Oláh, 2020. "Trade-Offs for the Optimal Energy Efficiency of Road Transportation: Domestic Cases in Developing Countries," Energies, MDPI, vol. 13(24), pages 1-14, December.

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