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DEA-BSC and Diamond Performance to Support Museum Management

Author

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  • Antonella Basso

    (Department of Economics, Ca’ Foscari University of Venice, Cannaregio 873, 30121 Venice, Italy
    These authors contributed equally to this work.)

  • Stefania Funari

    (Department of Management, Ca’ Foscari University of Venice, Cannaregio 873, 30121 Venice, Italy
    These authors contributed equally to this work.)

Abstract

In the present paper, we propose some models for the computation of an overall indicator which measures the performance of a set of museums from a multidimensional point of view. One of the most used methodologies that provide a multiple input–multiple output performance score is Data Envelopment Analysis (DEA), which in recent years has also been applied to museums. Recently, the literature on museums performance has proposed a model that combines DEA with the Balanced Scorecard (BSC) approach, which is used in the management control of organisations and focuses on a multidimensional framework based on four different dimensions of the organisation management. In the present contribution, we propose a two-stage DEA-BSC model which adopts more plain DEA models without weight restrictions and can be better understood by museums’ managers. In addition, in order to overcome the drawback of the low discriminatory power shown by this model when applied to a few museums, we propose some alternative ways to compute the overall performance at the second stage. One indicator computes the area of a special geometric representation of the efficiency scores obtained at the first stage for the four BSC perspectives and for this reason is named diamond efficiency . Finally, the models proposed are applied to the set of municipal museums of Venice.

Suggested Citation

  • Antonella Basso & Stefania Funari, 2020. "DEA-BSC and Diamond Performance to Support Museum Management," Mathematics, MDPI, vol. 8(9), pages 1-20, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1402-:d:402051
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    References listed on IDEAS

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    1. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
    2. Calogero Guccio & Marco Martorana & Isidoro Mazza & Giacomo Pignataro & Ilde Rizzo, 2020. "An analysis of the efficiency of Italian museums using a generalised conditional efficiency model," ACEI Working Paper Series AWP-06-2020, Association for Cultural Economics International, revised Feb 2020.
    3. François Mairesse & Philippe Vanden Eeckaut, 2002. "Museum Assessment and FDH Technology: Towards a Global Approach," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 26(4), pages 261-286, November.
    4. Lovell, C. A. Knox & Pastor, Jesus T., 1999. "Radial DEA models without inputs or without outputs," European Journal of Operational Research, Elsevier, vol. 118(1), pages 46-51, October.
    5. Antonella Basso & Stefania Funari, 2004. "A Quantitative Approach to Evaluate the Relative Efficiency of Museums," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 28(3), pages 195-216, August.
    6. Antonella Basso & Stefania Funari, 2020. "A three-system approach that integrates DEA, BSC, and AHP for museum evaluation," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 413-441, December.
    7. Basso, Antonella & Casarin, Francesco & Funari, Stefania, 2018. "How well is the museum performing? A joint use of DEA and BSC to measure the performance of museums," Omega, Elsevier, vol. 81(C), pages 67-84.
    8. Guccio, Calogero & Martorana, Marco & Mazza, Isidoro & Pignataro, Giacomo & Rizzo, Ilde, 2020. "An analysis of the managerial performance of Italian museums using a generalised conditional efficiency model," Socio-Economic Planning Sciences, Elsevier, vol. 72(C).
    9. María José Barrio-Tellado & Luis César Herrero-Prieto, 2019. "Modelling museum efficiency in producing inter-reliant outputs," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 43(3), pages 485-512, September.
    10. Ting Ling Wei & Howard Davey & David Coy, 2008. "A disclosure index to measure the quality of annual reporting by museums in New Zealand and the UK," Journal of Applied Accounting Research, Emerald Group Publishing Limited, vol. 9(1), pages 29-51, June.
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