CHARACTERISTICS OF DEFINING HYPERPLANES OF CONSTANT RETURNS TO SCALE TECHNOLOGY IN DEA

Sevan Sohraiee

Abstract

In this paper characteristics of defining hyperplanes of constant returns to scale technology in DEA have been investigated. A defining hyperplane namely H is a type of hyperplane that with the elimination of H, the production possibility set (PPS) will be enlarged (In this paper a defining hyperplane exactly is the full dimensional efficient facet (FDEF) and may be found in Olesen and Peterson (1996, 2003)). The point of view of some of the characteristics is conceptual and the interpretation of defining hyperplanes of constant returns to scale technology can be achieved by these conceptual characteristics. However, some of the characteristics are practical and one can easily utilize them in practice. Some parts of topology and convex analysis have been considered to show the truth of characteristics.

References

  1. Banker, R. D., Charnes, A., Cooper, W. W., 1984. Some models for estimating technical and scale inefficiencies in data envelopment analysis. 30 1078- 1092, Management Science.
  2. Charnes, A., Cooper, W. W., Rhodes, E., 1978. Measuring the efficiency of decision making units, 2 429-444. European Journal of Operational Research.
  3. Cooper, W. W., Ruiz, J. L., Inmaculada Sirvent, 2007. Choosing weights from alternative optimal solutions of dual multiplier models in DEA, 180 443-458. European Journal of Operational Research.
  4. Jahanshahloo, G. R., Hosseinzadeh Lotfi, F., Zhiani Rezai, H., Rezai Balf, F., 2007. Finding strong defining hyperplanes of Production Possibility Set, 177 42-54. European Journal of Operational Research.
  5. Jahanshahloo, G. R., Hosseinzadeh Lotfi, F., Zohrehbandian, M., 2005. Finding the piecewise linear frontier production function in Data Envelopment Analysis, 163 483-488. Applied Mathematics and Computation.
  6. Korhonen, P., 1997. Searching the efficient frontier in Data Envelopment Analysis, IR-79-97. IIASA.
  7. Olesen, O., Petersen, N. C., 1996. Indicators of illconditioned data sets and model misspecification in data envelopment analysis: An extended facet approach,42 205-219. Management Science.
  8. Olesen, O., Petersen, N. C., 1996. Identification and use of efficient faces facets in DEA, 20 323-360. Journal of Productivity Analysis.
  9. Yu, G., Wei, Q., Brockett, P., Zhou, L., 1996. Construction of all DEA efficient surfaces of Production Possibility Set under the generalized Data Envelopment Analysis model, 95 491-510. European Journal of Operational Research.
Download


Paper Citation


in Harvard Style

Sohraiee S. (2010). CHARACTERISTICS OF DEFINING HYPERPLANES OF CONSTANT RETURNS TO SCALE TECHNOLOGY IN DEA . In Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8425-00-3, pages 65-73. DOI: 10.5220/0002839400650073


in Bibtex Style

@conference{icinco10,
author={Sevan Sohraiee},
title={CHARACTERISTICS OF DEFINING HYPERPLANES OF CONSTANT RETURNS TO SCALE TECHNOLOGY IN DEA},
booktitle={Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2010},
pages={65-73},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002839400650073},
isbn={978-989-8425-00-3},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 7th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - CHARACTERISTICS OF DEFINING HYPERPLANES OF CONSTANT RETURNS TO SCALE TECHNOLOGY IN DEA
SN - 978-989-8425-00-3
AU - Sohraiee S.
PY - 2010
SP - 65
EP - 73
DO - 10.5220/0002839400650073