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Evaluation of Min–Max, Weighted and Preemptive Goal Programming Techniques with Reference to Mahanadi Reservoir Project Complex

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  • M. Verma

    ()

  • R. Shrivastava
  • R. Tripathi

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Abstract

An application of Goal Programming (GP) methodology with its three approaches namely Min–Max Goal Programming (MMGP), Weighted Goal Programming (WGP) and Preemptive Goal Programming (PGP) to a system of reservoir for optimal monthly operation has been presented in this paper. The objective of the present work is to find out an improved optimal operation model for Mahanadi Reservoir Project (MRP) system and to study the results in light of implicit fundamental philosophy associated with the models. The goal programming approach possesses significant advantage due to the fact that it may be based on physical operating criteria. The system goals and constraints are expressed deterministically. A constraint must be strictly satisfied, while for a goal it is desired to achieve the solution as close as possible to the specified target. The MMGP model is based on the philosophy of minimization of maximum range of deviation of all decision variables from their target value uniformly. WGP focus on the weights assigned to decision variables according to their relative importance. Whereas, PGP model deals sequentially with each goal according to their order of priorities. All the three GP models have been developed and applied to the MRP Complex which comprises of six multipurpose reservoirs with two inter basin linkage canals in the state of Chhattisgarh, India. The system goals and constraints are expressed deterministically for the application of model in perfect mode. The input data set was kept same to facilitate a justifiable comparison of performance of GP models. The strengths and limitations of all the three GP models have been analysed and the basic salient features of models in light of results obtained are discussed and presented. The best operating policy has been resulted from PGP model as compared to other two models. Copyright Springer Science+Business Media B.V. 2010

Suggested Citation

  • M. Verma & R. Shrivastava & R. Tripathi, 2010. "Evaluation of Min–Max, Weighted and Preemptive Goal Programming Techniques with Reference to Mahanadi Reservoir Project Complex," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(2), pages 299-319, January.
  • Handle: RePEc:spr:waterr:v:24:y:2010:i:2:p:299-319
    DOI: 10.1007/s11269-009-9447-9
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    References listed on IDEAS

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    1. Bravo, Mila & Gonzalez, Ignacio, 2009. "Applying stochastic goal programming: A case study on water use planning," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1123-1129, August.
    2. Muhammad Al-Zahrani & Abid Ahmad, 2004. "Stochastic Goal Programming Model for Optimal Blending of Desalinated Water with Groundwater," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 18(4), pages 339-352, August.
    3. Agha, Salah R., 2006. "Use of goal programming and integer programming for water quality management--A case study of Gaza Strip," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1991-1998, November.
    4. Aouni, Belaid & Ben Abdelaziz, Foued & Martel, Jean-Marc, 2005. "Decision-maker's preferences modeling in the stochastic goal programming," European Journal of Operational Research, Elsevier, vol. 162(3), pages 610-618, May.
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    Cited by:

    1. Cinzia Colapinto & Raja Jayaraman & Simone Marsiglio, 2017. "Multi-criteria decision analysis with goal programming in engineering, management and social sciences: a state-of-the art review," Annals of Operations Research, Springer, vol. 251(1), pages 7-40, April.

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