Mathematical and Computational Applications, Vol. 16, No. 3, pp. 669-679, 2011.
© Association for Scientific Research
USE OF DATA ENVELOPMENT ANALYSIS AS A MULTI CRITERIA
DECISION TOOL – A CASE OF IRRIGATION MANAGEMENT
Barış Yılmaz
1*
and Mehmet Ali Yurdusev
2
1
Gölmarmara Vocational School, Celal Bayar University, Manisa, Turkey
2
Department of Civil Engineering, Celal Bayar University, Manisa, Turkey
*
baris.yilmaz@bayar.edu.tr
Abstract- In this paper, the use of Data Envelopment Analysis (DEA) as a tool for
Multiple Criteria Decision Making (MCDM) is investigated for assessing various
irrigation management strategies in terms of economic, environmental and social
criteria. To carry out this task, an irrigation management research project report is used
for the comparison of various MCDM and DEA rankings as well as providing the
required data. The DEA methods called Charnes-Cooper-Rhodes (CCR), Banker-
Charnes-Cooper (BCC) and Reduced-CCR (RCCR) are employed by the integration of
criteria weights through the addition of assurance regions to improve discriminating
power of the analysis, and to reach the ranking of strategies. The results indicate that
DEA constitutes a valuable approach to be used alternatively or in addition to MCDM,
and incorporating managerial preferences into the DEA methods provide correlated
results with MCDM techniques.
Keywords-Data Envelopment Analysis, MCDM, Irrigation Management
1. INTRODUCTION
As the fresh water resources are declining in quantity and deteriorating in
quality, water resources management is of greater importance than ever before and it is
agreed by all that integrated management is the way forward. Integrated water resources
management is the concept of managing water sectors subject to various objectives in
an integrated manner while considering social, economic, environmental and technical
dimensions. On the other hand, all water related objectives cannot be easily traded off
with each other due to their complicated and often conflicting nature. This multiplicity
overburdens decision makers (DMs) in finding the “most satisfactory decision”.
Therefore, MCDM methodologies have been gaining more attention in water resources
management. DEA is a linear programming methodology to measure the relative
efficiencies of a homogenous set of Decision Making Units (DMUs) when the
production process presents a structure of multiple inputs and outputs. Despite large
number of MCDM methodologies available [1], the application of DEA as a discrete
alternative MCDM tool is also an admissible way to achieve reasonable decisions.
Some specific examples of DEA including the efficiency studies of the water companies
in UK [2], the irrigation districts in Buyuk Menderes Basin [3], dam locations [4] and
the reservoir system in Paraguacu River Basin [5] can be cited in recent literature. In
this study, the evaluation of DEA as a MCDM tool is investigated through calculating
efficiency scores of the alternatives dealing with irrigation management strategies. The
data used is taken from the report of Euro-Mediterranean Forum of Economic Institutes