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Integer Dea Models

In: Modeling Data Irregularities and Structural Complexities in Data Envelopment Analysis

Author

Listed:
  • Sebastián Lozano
  • Gabriel Villa

Abstract

Conventional Data Envelopment Analysis (DEA) models consider that inputs and outputs are continuous (i.e. real-valued) amounts. However, there are many applications in which one or more inputs and/or outputs are necessarily integer quantities. Commonly, in these situations, the non-integer targets are rounded off. However, rounding off may easily lead to an infeasible target (i.e. out of the Production Possibility Set) or to a dominated operation point. In this chapter, a general framework to handle integer inputs and outputs is presented and a number of integer DEA models reviewed. We illustrate the working of the proposed approach with on a problem from the literature.

Suggested Citation

  • Sebastián Lozano & Gabriel Villa, 2007. "Integer Dea Models," Springer Books, in: Joe Zhu & Wade D. Cook (ed.), Modeling Data Irregularities and Structural Complexities in Data Envelopment Analysis, chapter 0, pages 271-289, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-71607-7_15
    DOI: 10.1007/978-0-387-71607-7_15
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    Cited by:

    1. Kuosmanen, Timo & Matin, Reza Kazemi, 2009. "Theory of integer-valued data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 192(2), pages 658-667, January.
    2. Mohammad Nourani & Qian Long Kweh & Irene Wei Kiong Ting & Wen-Min Lu & Anna Strutt, 2022. "Evaluating traditional, dynamic and network business models: an efficiency-based study of Chinese insurance companies," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 47(4), pages 905-943, October.
    3. Jie Wu & Zhixiang Zhou & Liang Liang, 2010. "Measuring the Performance of Nations at Beijing Summer Olympics Using Integer-Valued DEA Model," Journal of Sports Economics, , vol. 11(5), pages 549-566, October.
    4. Jie Wu & Zhixiang Zhou, 2015. "A mixed-objective integer DEA model," Annals of Operations Research, Springer, vol. 228(1), pages 81-95, May.
    5. Shih-Heng Yu & Chia-Wei Hsu, 2020. "A unified extension of super-efficiency in additive data envelopment analysis with integer-valued inputs and outputs: an application to a municipal bus system," Annals of Operations Research, Springer, vol. 287(1), pages 515-535, April.
    6. Kazemi Matin, Reza & Kuosmanen, Timo, 2009. "Theory of integer-valued data envelopment analysis under alternative returns to scale axioms," Omega, Elsevier, vol. 37(5), pages 988-995, October.
    7. Taleb, Mushtaq & Khalid, Ruzelan & Ramli, Razamin & Ghasemi, Mohammad Reza & Ignatius, Joshua, 2022. "An integrated bi-objective data envelopment analysis model for measuring returns to scale," European Journal of Operational Research, Elsevier, vol. 296(3), pages 967-979.

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