Skip to main content
Log in

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

  • Published:
Water Resources Management Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Alidi, A. S. and Al-Faraj, T. N.: 1994, ‘Goal programming model for distributing and blending desalinized water’, J. Water Resour. Plann. Manage., ASCE, 120(3), 267–275.

    Google Scholar 

  • Al-Zahrani, M., Shareef, M. and Hussain, T.: 1998, ‘Water Resources Planning under Uncertainties’, The Fourth Gulf Water Conference, Bahrain, pp. 77–92.

  • Charnes, A. and Cooper, W. W.: 1961, Management Models and Industrial Applications of Linear Programming, John Wiley & Sons, New York, N.Y.

    Google Scholar 

  • Cohn, J. L. and Marks, D. H.: 1975, ‘A review and evaluation of multi-objective programming techniques’, Water Resour. Res. 11(2), 208–220.

    Google Scholar 

  • Dandy, G. and Crawley, P.: 1992, ‘Optimum operation of a multiple reservoir system including salinity effects’, Water Resour. Res. 28(4), 979–990.

    Google Scholar 

  • Lawrence, J. and Pastemack, B.: 1998, Applied Management Science: A Computer-Integrated Approach for Decision Making, John Wiley & Sons, New York, N.Y.

    Google Scholar 

  • Lee, S. M.: 1981, Management by Multiple Objectives, Petrocelli Books, Princeton, N.J.

    Google Scholar 

  • Loganathan, G. V. and Bhattacharya, D.: 1990, ‘Goal programming techniques for optimal reservoir operations’, J. Water Resour. Plann. Manage., ASCE, 116(6), 820–838.

    Google Scholar 

  • Ministry of Planning: 2002, Seventh Development Plan (1420–1425), Ministry of Planning Press, Riyadh, Saudi Arabia.

    Google Scholar 

  • Onta, P. R., Gupta, A. D. and Harboe, R.: 1991, ‘Goal programming model for conjunctive use of surface and ground water resources’, J. Water Resour. Plann. Manage., ASCE, 117(6), 662–667.

    Google Scholar 

  • Water Resources and Environmental Division: 1997, ‘Water Utilization for Desert Greening Along the Coastal Belt of Saudi Arabia’, Final Report prepared for IDEMITSU KOSAN CO. Ltd., Research Institute/KFUPM, Dhahran, Saudi Arabia.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Muhammad A. Al-Zahrani.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Al-Zahrani, M.A., Ahmad, A.M. Stochastic Goal Programming Model for Optimal Blending of Desalinated Water with Groundwater. Water Resources Management 18, 339–352 (2004). https://doi.org/10.1023/B:WARM.0000048487.05662.88

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:WARM.0000048487.05662.88

Navigation