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  • Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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1 August 2004

Estimation of Efficiency and Infinitesimals in Data Envelopment Analysis

,
and
1
Department of Mathematics, Teacher Training University, Tehran, Iran
2
Department of Mathematics, Science & Research Branch, Islamic Azad University, Tehran, Iran
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl.2004, 9(2), 299-302;https://doi.org/10.3390/mca9020299
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Abstract

The role of the non-Archimedean construct ε in the DEA models is clarified. It is established that the multiplier (envelopment) forms of DEA models can be infeasible (unbounded). Sufficient conditions are established for feasibility (bounded ness) of multiplier (envelopment) forms of DEA models and a method of securing a global assurance interval for ε is provided.

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