Measurement and evaluation of multi-function parallel network hierarchical DEA systems
Measurement and evaluation of multi-function parallel network hierarchical DEA systems
Many organisations are composed of multiple departments connected either in series or in parallel, which may be further decomposed into a number of functions arranged in a hierarchical structure. Several researchers have successfully used appropriate Data Envelopment Analysis (DEA) modelling techniques to assess complex structures. However, to our knowledge, no-one has yet examined the case of measuring and evaluating a parallel network structure combined with a hierarchical one. This paper discusses the development of a multi-function parallel system with embedded hierarchical network structures. A linear additive decomposition DEA model and a non-linear multiplicative aggregation DEA model are proposed as alternatives to evaluate the operating performance of such a structure. The system, the sub-systems, and the efficiencies of their internal units, as well as their relationships, are identified. The system efficiency of the additive model is shown to be greater than or equal to that of the multiplicative model. To verify the applicability of our proposed models, we consider a hypothetical example of the measurement and evaluation of the performances of several Business Schools across a number of universities. Other envisaged areas of application of our structure could include supporting the evaluation of the supply chain management of a firm, or the determination of the most desirable ship design considering maintenance issues.
Data envelopment analysis, Hierarchical structure, Network, Parallel systems, Shared inputs
101428
Kremantzis, Marios Dominikos
59c7026c-01a6-475f-9774-12efea43d86a
Beullens, Patrick
893ad2e2-0617-47d6-910b-3d5f81964a9c
Kyrgiakos, Leonidas Sotirios
5402a1cc-fbad-40b4-a53b-6de10861ec66
Klein, Jonathan
639e04f0-059a-4566-9361-a4edda0dba7d
December 2022
Kremantzis, Marios Dominikos
59c7026c-01a6-475f-9774-12efea43d86a
Beullens, Patrick
893ad2e2-0617-47d6-910b-3d5f81964a9c
Kyrgiakos, Leonidas Sotirios
5402a1cc-fbad-40b4-a53b-6de10861ec66
Klein, Jonathan
639e04f0-059a-4566-9361-a4edda0dba7d
Kremantzis, Marios Dominikos, Beullens, Patrick, Kyrgiakos, Leonidas Sotirios and Klein, Jonathan
(2022)
Measurement and evaluation of multi-function parallel network hierarchical DEA systems.
Socio-Economic Planning Sciences, 84, , [101428].
(doi:10.1016/j.seps.2022.101428).
Abstract
Many organisations are composed of multiple departments connected either in series or in parallel, which may be further decomposed into a number of functions arranged in a hierarchical structure. Several researchers have successfully used appropriate Data Envelopment Analysis (DEA) modelling techniques to assess complex structures. However, to our knowledge, no-one has yet examined the case of measuring and evaluating a parallel network structure combined with a hierarchical one. This paper discusses the development of a multi-function parallel system with embedded hierarchical network structures. A linear additive decomposition DEA model and a non-linear multiplicative aggregation DEA model are proposed as alternatives to evaluate the operating performance of such a structure. The system, the sub-systems, and the efficiencies of their internal units, as well as their relationships, are identified. The system efficiency of the additive model is shown to be greater than or equal to that of the multiplicative model. To verify the applicability of our proposed models, we consider a hypothetical example of the measurement and evaluation of the performances of several Business Schools across a number of universities. Other envisaged areas of application of our structure could include supporting the evaluation of the supply chain management of a firm, or the determination of the most desirable ship design considering maintenance issues.
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Kremantzsis et al. 2022
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Accepted/In Press date: 27 August 2022
e-pub ahead of print date: 8 September 2022
Published date: December 2022
Additional Information:
Funding Information:
The work was supported by the Engineering and Physical Sciences Research Council (Industrial CASE award) under grant 5162031105656 , and BAE Systems.
Publisher Copyright:
© 2022
Keywords:
Data envelopment analysis, Hierarchical structure, Network, Parallel systems, Shared inputs
Identifiers
Local EPrints ID: 471674
URI: http://eprints.soton.ac.uk/id/eprint/471674
ISSN: 0038-0121
PURE UUID: c4e746f3-b29f-4eb0-b2ca-f89e5eeffa3f
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Date deposited: 16 Nov 2022 17:37
Last modified: 17 Mar 2024 07:33
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Author:
Leonidas Sotirios Kyrgiakos
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