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Cost efficiency in data envelopment analysis under the law of one price

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  • Fang, Lei
  • Li, Hecheng

Abstract

To impose the law of one price (LoOP) restrictions, which state that all firms face the same input prices, Kuosmanen, Cherchye, and Sipiläinen (2006) developed the top-down and bottom-up approaches to maximizing the industry-level cost efficiency. However, the optimal input shadow prices generated by the above approaches need not be unique, which influences the distribution of the efficiency indices at the individual firm level. To solve this problem, in this paper, we developed a pair of two-level mathematical programming models to calculate the upper and lower bounds of cost efficiency for each firm in the case of non-unique LoOP prices while keeping the industry cost efficiency optimal. Furthermore, a base-enumerating algorithm is proposed to solve the lower bound models of the cost efficiency measure, which are bi-level linear programs and NP-hard problems. Lastly, a numerical example is used to demonstrate the proposed approach.

Suggested Citation

  • Fang, Lei & Li, Hecheng, 2015. "Cost efficiency in data envelopment analysis under the law of one price," European Journal of Operational Research, Elsevier, vol. 240(2), pages 488-492.
  • Handle: RePEc:eee:ejores:v:240:y:2015:i:2:p:488-492
    DOI: 10.1016/j.ejor.2014.07.017
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    References listed on IDEAS

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    1. Cherchye, L. & Abeele, P. Vanden, 2005. "On research efficiency: A micro-analysis of Dutch university research in Economics and Business Management," Research Policy, Elsevier, vol. 34(4), pages 495-516, May.
    2. Calvete, Herminia I. & Gale, Carmen & Mateo, Pedro M., 2008. "A new approach for solving linear bilevel problems using genetic algorithms," European Journal of Operational Research, Elsevier, vol. 188(1), pages 14-28, July.
    3. Lei Fang & Hecheng Li, 2013. "Lower bound of cost efficiency measure in DEA with incomplete price information," Journal of Productivity Analysis, Springer, vol. 40(2), pages 219-226, October.
    4. Fare, Rolf & Zelenyuk, Valentin, 2003. "On aggregate Farrell efficiencies," European Journal of Operational Research, Elsevier, vol. 146(3), pages 615-620, May.
    5. Kuosmanen, Timo & Kortelainen, Mika & Sipiläinen, Timo & Cherchye, Laurens, 2010. "Firm and industry level profit efficiency analysis using absolute and uniform shadow prices," European Journal of Operational Research, Elsevier, vol. 202(2), pages 584-594, April.
    6. Mostafaee, A. & Saljooghi, F.H., 2010. "Cost efficiency measures in data envelopment analysis with data uncertainty," European Journal of Operational Research, Elsevier, vol. 202(2), pages 595-603, April.
    7. Thompson, Russell G. & Brinkmann, Emile J. & Dharmapala, P. S. & Gonzalez-Lima, M. D. & Thrall, Robert M., 1997. "DEA/AR profit ratios and sensitivity of 100 large U.S. banks," European Journal of Operational Research, Elsevier, vol. 98(2), pages 213-229, April.
    8. Schaffnit, Claire & Rosen, Dan & Paradi, Joseph C., 1997. "Best practice analysis of bank branches: An application of DEA in a large Canadian bank," European Journal of Operational Research, Elsevier, vol. 98(2), pages 269-289, April.
    9. Jahanshahloo, G.R. & Soleimani-damaneh, M. & Mostafaee, A., 2008. "A simplified version of the DEA cost efficiency model," European Journal of Operational Research, Elsevier, vol. 184(2), pages 814-815, January.
    10. Ylvinger, Svante, 2000. "Industry performance and structural efficiency measures: Solutions to problems in firm models," European Journal of Operational Research, Elsevier, vol. 121(1), pages 164-174, February.
    11. Taylor, William M. & Thompson, Russell G. & Thrall, Robert M. & Dharmapala, P. S., 1997. "DEA/AR efficiency and profitability of Mexican banks a total income model," European Journal of Operational Research, Elsevier, vol. 98(2), pages 346-363, April.
    12. Kuosmanen, Timo & Cherchye, Laurens & Sipilainen, Timo, 2006. "The law of one price in data envelopment analysis: Restricting weight flexibility across firms," European Journal of Operational Research, Elsevier, vol. 170(3), pages 735-757, May.
    13. Fang, Lei & Li, Hecheng, 2012. "A comment on “cost efficiency in data envelopment analysis with data uncertainty”," European Journal of Operational Research, Elsevier, vol. 220(2), pages 588-590.
    14. Camanho, A. S. & Dyson, R. G., 2005. "Cost efficiency measurement with price uncertainty: a DEA application to bank branch assessments," European Journal of Operational Research, Elsevier, vol. 161(2), pages 432-446, March.
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    Cited by:

    1. Fang, Lei, 2015. "Centralized resource allocation based on efficiency analysis for step-by-step improvement paths," Omega, Elsevier, vol. 51(C), pages 24-28.
    2. repec:eee:ejores:v:269:y:2018:i:3:p:1013-1026 is not listed on IDEAS
    3. repec:eee:soceps:v:61:y:2018:i:c:p:37-43 is not listed on IDEAS

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