A Comprehensive Dea Approach for the Resource Allocation Problem based on Scale Economies Classification

This paper is concerned with the resource allocation problem based on data envelopment analysis (DEA) which is generally found in practice such as in public services and in production process. In management context, the resource allocation has to achieve the effective-efficient-equality aim and trie...

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Bibliographic Details
Published in:Journal of systems science and complexity Vol. 21; no. 4; pp. 540 - 557
Main Authors: LI, Xiaoya, CUI, Jinchuan
Format: Journal Article
Language:English
Published: Boston Springer US 01.12.2008
Subjects:
Complex Systems
Control
Mathematics
Mathematics and Statistics
Mathematics of Computing
Operations Research/Decision Theory
Statistics
Systems Theory
decision making unit (DMU)
efficiency score
resource allocation problem
returns to scale (RTS)
inverse DEA model
date envelopment analysis (DEA)
multiple-objective linear programming (MOLP)
Common weights analysis (CWA)
ISSN:1009-6124, 1559-7067
Online Access:Get full text
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Summary:This paper is concerned with the resource allocation problem based on data envelopment analysis (DEA) which is generally found in practice such as in public services and in production process. In management context, the resource allocation has to achieve the effective-efficient-equality aim and tries to balance the different desires of two management layers: central manager and each sector. In mathematical programming context, to solve the resource allocation asks for introducing many optimization techniques such as multiple-objective programming and goal programming. We construct an algorithm framework by using comprehensive DEA tools including CCR, BCC models, inverse DEA model, the most compromising common weights analysis model, and extra resource allocation algorithm. Returns to scale characteristic is put major place for analyzing DMUs’ scale economies and used to select DMU candidates before resource allocation. By combining extra resource allocation algorithm with scale economies target, we propose a resource allocation solution, which can achieve the effective-efficient-equality target and also provide information for future resource allocation. Many numerical examples are discussed in this paper, which also verify our work.
ISSN:1009-6124
1559-7067
DOI:10.1007/s11424-008-9134-6