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Incorporating Intra- and Inter-Input/Output Weight Restrictions in Piecewise Linear DEA: An Application to the Assessment of the Research Activity in Higher Education

In: Managing Service Productivity

Author

Listed:
  • Dimitris Sotiros

    (University of Piraeus)

  • Yannis G. Smirlis

    (University of Piraeus)

  • Dimitris K. Despotis

    (University of Piraeus)

Abstract

Standard Data Envelopment Analysis models view all input/output factors as linear value functions. Piecewise Linear Data Envelopment Analysis (PL-DEA) is a generalization of the DEA methodology which incorporates piecewise linear functions of factors to handle situations that do not have a linear impact on efficiency, as they may exhibit either diminishing or increasing marginal values. In this chapter we extend PL-DEA to Value-based PL-DEA that incorporates value judgments and allows common treatment for intra- and inter-input/output weight restrictions. Value-based PL-DEA further enables a better expression of individual preferences, enhances the model with the fully units invariance property and also resolves the discontinuity issue that exist in the original PL-DEA model. Value based PL-DEA is illustrated by an application to assess the quality and extent of research work in higher education.

Suggested Citation

  • Dimitris Sotiros & Yannis G. Smirlis & Dimitris K. Despotis, 2014. "Incorporating Intra- and Inter-Input/Output Weight Restrictions in Piecewise Linear DEA: An Application to the Assessment of the Research Activity in Higher Education," International Series in Operations Research & Management Science, in: Ali Emrouznejad & Emilyn Cabanda (ed.), Managing Service Productivity, edition 127, pages 37-54, Springer.
    • Handle: RePEc:spr:isochp:978-3-662-43437-6_3
    DOI: 10.1007/978-3-662-43437-6_3
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