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Stochastic Goal Programming Model for Optimal Blending of Desalinated Water with Groundwater

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  • Muhammad Al-Zahrani
  • Abid Ahmad

Abstract

A stochastic goal programming (GP) model is developed in orderto determine the daily production of desalination plants to meet the requirements of water blending stations (WBS) for major cities in the Eastern Province of the Kingdom of SaudiArabia. The WBS is assumed to be a control point in the systemwhere water is blended to satisfy the desired water quality, downstream of the control point. The desalinated water is blended with brackish groundwater extracted from several groundwater wells. The objective of the model is to minimize the goal deviations from the following priority levels: demand for blended water, control of salinity levels, depletion of groundwater and maximize the use of brackish water, demand forbrackish water at WBS, and production of desalinated water. Anessential element of the model is the input data; unfortunately,available data are not accurate due to the inherent uncertaintyassociated with it. This uncertainty will generate uncertainty in the model output, which affects reliability and confidence associated with the decisions. Thus, reliable planning should consider uncertainties associated with model input parameters.The developed stochastic model shows how Goal Programming (GP)modeling can be used to plan the water resources in the EasternProvince of Saudi Arabia, assuming that both supply and demandare uncertain. Copyright Kluwer Academic Publishers 2004

Suggested Citation

  • 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.
    • Handle: RePEc:spr:waterr:v:18:y:2004:i:4:p:339-352
    DOI: 10.1023/B:WARM.0000048487.05662.88
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    Citations

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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.
    2. Abbas Amini Fasakhodi & Seyed Nouri & Manouchehr Amini, 2010. "Water Resources Sustainability and Optimal Cropping Pattern in Farming Systems; A Multi-Objective Fractional Goal Programming Approach," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(15), pages 4639-4657, December.
    3. 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.
    4. Raja Jayaraman & Cinzia Colapinto & Danilo Liuzzi & Davide Torre, 2017. "Planning sustainable development through a scenario-based stochastic goal programming model," Operational Research, Springer, vol. 17(3), pages 789-805, October.
    5. Ammar Ahmed Musa, 2021. "Goal programming model for optimal water allocation of limited resources under increasing demands," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(4), pages 5956-5984, April.
    6. Murat Kilic & Suer Anac, 2010. "Multi-Objective Planning Model for Large Scale Irrigation Systems: Method and Application," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 24(12), pages 3173-3194, September.

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