Ranking Irrigation Planning Alternatives Using Data Envelopment Analysis

Application of Data Envelopment Analysis (DEA) as a Multicriterion Decision Making (MCDM) methodology is tested for Sri Ram Sagar Project, Andhra Pradesh, India to select the suitable irrigation planning alternative. Three different criterion functions of DEA, namely minimizing deviation variable Dj (Min,DDj), minimizing maximum deviation (Minmax), and minimizing the sum of deviations ∑Dj (Minsum) are applied for the same DEA constraint set. These criterion functions are evaluated under the framework of Multi Objective Linear Programming (MOLP). Highest efficiency rated irrigation planning alternative is chosen to be the best for each of the above criterion functions. The results are compared with those obtained by discrete MCDM methods, PROMETHEE and EXPROM. It is found that ranks obtained by DEA are reasonably close to those obtained by the above mentioned MCDM methods, PROMETHEE and EXPROM.

[1]  J. Stedinger,et al.  Water resource systems planning and analysis , 1981 .

[2]  Gary R. Reeves,et al.  A multiple criteria approach to data envelopment analysis , 1999, Eur. J. Oper. Res..

[3]  D. Kumar,et al.  Multicriterion decision making in irrigation planning , 1999 .

[4]  Lucien Duckstein,et al.  Ranking Ground-water Management Alternatives by Multicriterion Analysis , 1994 .

[5]  Theodor J. Stewart,et al.  Relationships between Data Envelopment Analysis and Multicriteria Decision Analysis , 1996 .

[6]  Jean Pierre Brans,et al.  HOW TO SELECT AND HOW TO RANK PROJECTS: THE PROMETHEE METHOD , 1986 .

[7]  Joseph Sarkis,et al.  A comparative analysis of DEA as a discrete alternative multiple criteria decision tool , 2000, Eur. J. Oper. Res..

[8]  Komaragiri Srinivasa Raju,et al.  Multicriterion decision making in performance evaluation of an irrigation system , 1999, Eur. J. Oper. Res..

[9]  D. Diakoulaki,et al.  Cardinal ranking of alternative actions: extension of the promethee method , 1991 .

[10]  Darrell G. Fontane,et al.  Multiple reservoir system operational planning using multi-criterion decision analysis , 1994 .

[11]  Zilla Sinuany-Stern,et al.  Review of ranking methods in the data envelopment analysis context , 2002, Eur. J. Oper. Res..

[12]  Mark Gershon,et al.  Multiobjective Approaches to River Basin Planning , 1981 .

[13]  Thomas L. Saaty,et al.  High-Level Nuclear Waste Management: Analysis of Options , 1982 .

[14]  Jeffrey Horn,et al.  Multicriterion decision making , 1997 .

[15]  R. López-Luque,et al.  Application of Data Envelopment Analysis to Studies of Irrigation Efficiency in Andalusia , 2004 .

[16]  Benjamin F. Hobbs,et al.  Multicriterion Analysis of Hydropower Operation , 1989 .