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Cone extensions of polyhedral production technologies

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  • Podinovski, Victor V.
  • Bouzdine-Chameeva, Tatiana

Abstract

In data envelopment analysis, cone extensions of production technologies are often used for the estimation of scale efficiency of decision making units. Furthermore, the non-increasing and non-decreasing returns-to-scale (NIRS and NDRS) technologies are often used for their returns-to-scale characterization. Although a number of new production technologies have recently been developed in the literature, their cone, NIRS and NDRS extensions have not always been fully explored. In this paper, we obtain general results that show how these extensions can be obtained, for an arbitrary polyhedral technology. We illustrate the usefulness of our results by examples.

Suggested Citation

  • Podinovski, Victor V. & Bouzdine-Chameeva, Tatiana, 2019. "Cone extensions of polyhedral production technologies," European Journal of Operational Research, Elsevier, vol. 276(2), pages 736-743.
    • Handle: RePEc:eee:ejores:v:276:y:2019:i:2:p:736-743
    DOI: 10.1016/j.ejor.2019.01.031
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    Cited by:

    1. Papaioannou, Grammatoula & Podinovski, Victor V., 2024. "A single-stage optimization procedure for data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 313(3), pages 1119-1128.
    2. Peyrache, Antonio, 2024. "A homothetic data generated technology," European Journal of Operational Research, Elsevier, vol. 316(1), pages 255-267.
    3. Mehdiloo, Mahmood & Podinovski, Victor V., 2021. "Strong, weak and Farrell efficient frontiers of technologies satisfying different production assumptions," European Journal of Operational Research, Elsevier, vol. 294(1), pages 295-311.
    4. Mehdiloo, Mahmood & Podinovski, Victor V., 2019. "Selective strong and weak disposability in efficiency analysis," European Journal of Operational Research, Elsevier, vol. 276(3), pages 1154-1169.

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