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Efficiency decomposition for multi-level multi-components production technologies

Author

Listed:
  • Antonio Peyrache

    (The University of Queensland)

  • Maria C. A. Silva

    (Universidade Católica Portuguesa, CEGE)

Abstract

This paper addresses the efficiency measurement of firms composed by multiple components, and assessed at different decision levels. In particular it develops models for three levels of decision/production: the subunit (production division/process), the DMU (firm) and the industry (system). For each level, inefficiency is measured using a directional distance function and the developed measures are contrasted with existing radial models. The paper also investigates how the efficiency scores computed at different levels are related to each other by proposing a decomposition into exhaustive and mutually exclusive components. The proposed method is illustrated using data on Portuguese hospitals. Since most of the topics addressed in this paper are related to more general network structures, avenues for future research are proposed and discussed.

Suggested Citation

  • Antonio Peyrache & Maria C. A. Silva, 2023. "Efficiency decomposition for multi-level multi-components production technologies," Journal of Productivity Analysis, Springer, vol. 60(3), pages 273-294, December.
    • Handle: RePEc:kap:jproda:v:60:y:2023:i:3:d:10.1007_s11123-023-00690-3
    DOI: 10.1007/s11123-023-00690-3
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    1. Li, Sung-ko & Cheng, Yuk-shing, 2007. "Solving the puzzles of structural efficiency," European Journal of Operational Research, Elsevier, vol. 180(2), pages 713-722, July.
    2. Kao, Chiang, 2009. "Efficiency decomposition in network data envelopment analysis: A relational model," European Journal of Operational Research, Elsevier, vol. 192(3), pages 949-962, February.
    3. Fare, Rolf & Grosskopf, Shawna, 1996. "Productivity and intermediate products: A frontier approach," Economics Letters, Elsevier, vol. 50(1), pages 65-70, January.
    4. 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.
    5. Forsund, Finn R & Hjalmarsson, Lennart, 1979. "Generalised Farrell Measures of Efficiency: An Application to Milk Processing in Swedish Dairy Plants," Economic Journal, Royal Economic Society, vol. 89(354), pages 294-315, June.
    6. Pachkova, Elena V., 2009. "Restricted reallocation of resources," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1049-1057, August.
    7. Chen, Yao & Cook, Wade D. & Kao, Chiang & Zhu, Joe, 2013. "Network DEA pitfalls: Divisional efficiency and frontier projection under general network structures," European Journal of Operational Research, Elsevier, vol. 226(3), pages 507-515.
    8. Laurens Cherchye & Bram De Rock & Bart Dierynck & Filip Roodhooft & Jeroen Sabbe, 2013. "Opening the “Black Box” of Efficiency Measurement: Input Allocation in Multioutput Settings," Operations Research, INFORMS, vol. 61(5), pages 1148-1165, October.
    9. Kao, Chiang, 2018. "Multiplicative aggregation of division efficiencies in network data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 270(1), pages 328-336.
    10. Silva, Maria Conceição A., 2018. "Output-specific inputs in DEA: An application to courts of justice in Portugal," Omega, Elsevier, vol. 79(C), pages 43-53.
    11. Wade D. Cook & Joe Zhu, 2011. "Multiple Variable Proportionality in Data Envelopment Analysis," Operations Research, INFORMS, vol. 59(4), pages 1024-1032, August.
    12. Peyrache, Antonio, 2013. "Industry structural inefficiency and potential gains from mergers and break-ups: A comprehensive approach," European Journal of Operational Research, Elsevier, vol. 230(2), pages 422-430.
    13. Chiang Kao, 2017. "Network Data Envelopment Analysis," International Series in Operations Research and Management Science, Springer, number 978-3-319-31718-2, December.
    14. Sebastián Lozano & Gabriel Villa, 2004. "Centralized Resource Allocation Using Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 22(1), pages 143-161, July.
    15. John Salerian & Chris Chan, 2005. "Restricting Multiple-Output Multiple-Input DEA Models by Disaggregating the Output–Input Vector," Journal of Productivity Analysis, Springer, vol. 24(1), pages 5-29, September.
    16. Hennebel, Veerle & Simper, Richard & Verschelde, Marijn, 2017. "Is there a prison size dilemma? An empirical analysis of output-specific economies of scale," European Journal of Operational Research, Elsevier, vol. 262(1), pages 306-321.
    17. Boaz Golany & Eran Tamir, 1995. "Evaluating Efficiency-Effectiveness-Equality Trade-Offs: A Data Envelopment Analysis Approach," Management Science, INFORMS, vol. 41(7), pages 1172-1184, July.
    18. Wade Cook & Moez Hababou & Hans Tuenter, 2000. "Multicomponent Efficiency Measurement and Shared Inputs in Data Envelopment Analysis: An Application to Sales and Service Performance in Bank Branches," Journal of Productivity Analysis, Springer, vol. 14(3), pages 209-224, November.
    19. Fare, R. & Grabowski, R. & Grosskopf, S. & Kraft, S., 1997. "Efficiency of a fixed but allocatable input: A non-parametric approach," Economics Letters, Elsevier, vol. 56(2), pages 187-193, October.
    20. repec:bla:scandj:v:94:y:1992:i:4:p:599-608 is not listed on IDEAS
    21. Antonio Peyrache & Maria C. A. Silva, 2022. "A Comment on Decomposition of Efficiency in Network Production Models," CEPA Working Papers Series WP072022, School of Economics, University of Queensland, Australia.
    22. Victor V. Podinovski & Ole Bent Olesen & Cláudia S. Sarrico, 2018. "Nonparametric Production Technologies with Multiple Component Processes," Operations Research, INFORMS, vol. 66(1), pages 282-300, January.
    23. Peyrache, Antonio, 2015. "Cost constrained industry inefficiency," European Journal of Operational Research, Elsevier, vol. 247(3), pages 996-1002.
    24. Cherchye, Laurens & Rock, Bram De & Walheer, Barnabé, 2015. "Multi-output efficiency with good and bad outputs," European Journal of Operational Research, Elsevier, vol. 240(3), pages 872-881.
    25. Wade Cook & Dan Chai & John Doyle & Rodney Green, 1998. "Hierarchies and Groups in DEA," Journal of Productivity Analysis, Springer, vol. 10(2), pages 177-198, October.
    26. Laurens Cherchye & Bram De Rock & Veerle Hennebel, 2017. "Coordination efficiency in multi-output settings: a DEA approach," Annals of Operations Research, Springer, vol. 250(1), pages 205-233, March.
    27. 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.
    28. Jiro Nemoto & Mika Goto, 2003. "Measurement of Dynamic Efficiency in Production: An Application of Data Envelopment Analysis to Japanese Electric Utilities," Journal of Productivity Analysis, Springer, vol. 19(2), pages 191-210, April.
    29. Kao, Chiang, 2016. "Efficiency decomposition and aggregation in network data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 255(3), pages 778-786.
    30. Ozren Despić & Mladen Despić & Joseph Paradi, 2007. "DEA-R: ratio-based comparative efficiency model, its mathematical relation to DEA and its use in applications," Journal of Productivity Analysis, Springer, vol. 28(1), pages 33-44, October.
    31. Färe, R. & Grosskopf, S. & Margaritis, D., 2010. "Time substitution with application to data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 206(3), pages 686-690, November.
    32. Nemoto, Jiro & Goto, Mika, 1999. "Dynamic data envelopment analysis: modeling intertemporal behavior of a firm in the presence of productive inefficiencies," Economics Letters, Elsevier, vol. 64(1), pages 51-56, July.
    33. Lorenzo Castelli & Raffaele Pesenti & Walter Ukovich, 2010. "A classification of DEA models when the internal structure of the Decision Making Units is considered," Annals of Operations Research, Springer, vol. 173(1), pages 207-235, January.
    34. Kao, Chiang, 2009. "Efficiency measurement for parallel production systems," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1107-1112, August.
    35. Giannis Karagiannis, 2015. "On structural and average technical efficiency," Journal of Productivity Analysis, Springer, vol. 43(3), pages 259-267, June.
    36. C Kao, 2012. "Efficiency decomposition for parallel production systems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(1), pages 64-71, January.
    37. Cook, Wade D. & Green, Rodney H., 2004. "Multicomponent efficiency measurement and core business identification in multiplant firms: A DEA model," European Journal of Operational Research, Elsevier, vol. 157(3), pages 540-551, September.
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    Cited by:

    1. Peyrache, Antonio & Silva, Maria C.A., 2024. "The decomposition of efficiency in parallel network production models," Omega, Elsevier, vol. 127(C).

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