DEA-BSC and Diamond Performance to Support Museum Management

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 An...

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Main Authors: Antonella Basso, Stefania Funari
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/9/1402
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author Antonella Basso
Stefania Funari
author_facet Antonella Basso
Stefania Funari
author_sort Antonella Basso
collection DOAJ
description 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 <i>diamond efficiency</i>. Finally, the models proposed are applied to the set of municipal museums of Venice.
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spelling doaj.art-54d5d79f6a06483ebc5f287311c57d682023-11-20T10:52:58ZengMDPI AGMathematics2227-73902020-08-0189140210.3390/math8091402DEA-BSC and Diamond Performance to Support Museum ManagementAntonella Basso0Stefania Funari1Department of Economics, Ca’ Foscari University of Venice, Cannaregio 873, 30121 Venice, ItalyDepartment of Management, Ca’ Foscari University of Venice, Cannaregio 873, 30121 Venice, ItalyIn 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 <i>diamond efficiency</i>. Finally, the models proposed are applied to the set of municipal museums of Venice.https://www.mdpi.com/2227-7390/8/9/1402performance evaluationdata envelopment analysisbalanced scorecardmuseumsdiamond efficiency
spellingShingle Antonella Basso
Stefania Funari
DEA-BSC and Diamond Performance to Support Museum Management
Mathematics
performance evaluation
data envelopment analysis
balanced scorecard
museums
diamond efficiency
title DEA-BSC and Diamond Performance to Support Museum Management
title_full DEA-BSC and Diamond Performance to Support Museum Management
title_fullStr DEA-BSC and Diamond Performance to Support Museum Management
title_full_unstemmed DEA-BSC and Diamond Performance to Support Museum Management
title_short DEA-BSC and Diamond Performance to Support Museum Management
title_sort dea bsc and diamond performance to support museum management
topic performance evaluation
data envelopment analysis
balanced scorecard
museums
diamond efficiency
url https://www.mdpi.com/2227-7390/8/9/1402
work_keys_str_mv AT antonellabasso deabscanddiamondperformancetosupportmuseummanagement
AT stefaniafunari deabscanddiamondperformancetosupportmuseummanagement