Skip to main content

Part of the book series: Advances in Natural and Technological Hazards Research ((NTHR,volume 26))

  • 1522 Accesses

Abstract

A genetic algorithm model has been developed and applied to solve a planning problem of optimum allocation of water resources within a complex reservoir system. The specific conditions of the surface water resource utilization in Tunisia, exemplified in a 10-reservoir case study system (Louati 2005 thèsede doctorat en sciences agronomiques “Spé:cialité:: Gé:nie rural eau et forets”, Inat, Tunis, Tunisie), have required that the allocation of the available resources be analyzed considering both the quantity as well as salinity of supply. Therefore, the analyses included resource allocation optimization under the assumption of five different objective functions reflecting the relationship between the two supply criteria. In addition, the obtained solutions under the five objective assumptions have further been assessed across a range of system performance indicators. This step has proven essential in obtaining a more comprehensive insight into the operation of the system under the different objectives.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bogardi J J, Verhoef A (1995) Reliability analysis of reservoir operation. In Kundzewicz Z W (ed.), New Uncertainty Concepts in Hydrology and Water Resources. Proceedings of the International Workshop on new Uncertainty Concepts in Hydrology and Water Resources (Madralin, 1990):306–315. Cambridge University Press.

    Google Scholar 

  • Eastman J, ReVelle C (1973) Linear decision rule in reservoir management and design.3. Direct capacity determination and intraseasonal constraints. Water Resources Research, 9(1):{29–42}.

    Article  Google Scholar 

  • Gundelach J, ReVelle C (1975) Linear decision rule in reservoir management and design. 5. A general algorithm. Water Resources Research, 11(2):{204–207}.

    Article  Google Scholar 

  • Hashimoto T, Stedinger J R, Loucks D P (1982) Reliability, resiliency, and vulnerability criteria for water resource system performance evaluation. Water Resources Research, 18(1):{14–20}.

    Article  Google Scholar 

  • Houck M H (1979) A chance constrained optimization model for reservoir design and operation. Water Resources Bulletin, 15(5):{1011–1016}.

    Article  Google Scholar 

  • Houck M H, Datta B (1981) Performance evaluation of a stochastic optimization model for reservoir design and management with explicit reliability criteria. Water Resources Bulletin, 17(4):{827–832}.

    Article  Google Scholar 

  • Lebdi F, Slimani M, Parent E (1997) Empirical strategy for water resources system management : The example of the semi arid irrigated perimeter. Revue des sciences de l’eau, 10(1):{121–134}.

    CAS  Google Scholar 

  • Lebdi F, Bergaoui M, Bouslimi M A (2003) Optimisation of reservoir management in semi arid countires: Case of lakhmess in tunisia. In Rossi G, et al. (eds.). Tools for drought mitigation in mediterranean regions, {pp. 293–304}.

    Google Scholar 

  • Louati M H (2005) Optimisation des règles de gestion des ré:servoirs multiples avec considé:ration du risque, thèse de doctorat en sciences agronomiques “Spé:cialité:: Gé:nie rural eau et forets”, Inat, Tunis, Tunisie.

    Google Scholar 

  • Loucks D P and Dorfman P J (1975) An evaluation of some linear decision rules in chance-constrained models for reservoir planning and operation. Water Resources Bulletin, 11(6):{777–782}.

    Article  Google Scholar 

  • Milutin D and Bogardi J J (1995) Reliability criteria in the assessment of a multiple reservoir operational strategy under Mediterranean conditions. Proceedings of the European Symposium on Water Resources Management in the Mediterranean Under Drought or Water Shortage Conditions: Economic, Technical, Environmental and Social Issues (Nicosia, 1995), pp. 265–271. Rotterdam: Balkema.

    Google Scholar 

  • Milutin D, Bogardi J J (1996a) Hierarchical versus distributed release allocation within optimization of a multiple reservoir system operation. In Rao K (ed.), Proceedings of the International Conference on Aspects of Conflicts in Reservoir Development and Management (London, 1996), pp. 485–494. London City University.

    Google Scholar 

  • Milutin D, Bogardi J J (1996b) Application of genetic algorithms to derive the release distribution within a complex reservoir system. In Muller A (ed.), Hydroinformatics ’96, Proceedings of the Second International Conference on Hydroinformatics (Zurich, 1996), pp. 109–116. Rotterdam: Balkema.

    Google Scholar 

  • Moy W-S, Cohon J L, ReVelle C S (1986) A programming model for analysis of the reliability, resilience, and vulnerability of a water supply reservoir. Water Resources Research, 22(4):{489–498}

    Article  Google Scholar 

  • Nandalal K D W, Bogardi J J (1996) Reliability analysis of a reservoir for salinity control. Proceedings of the International Conference on Water Resources and Environment Research: Towards the 21th Century (Kyoto, 1996), pp. 263–269. Kyoto University.

    Google Scholar 

  • ReVelle C, Joeres E, Kirby W (1969) The linear decision rule in reservoir management and design 1. Development of the stochastic model. Water Resources Research, 5(4):{767–777}.

    Article  Google Scholar 

  • ReVelle C, Kirby W (1970) Linear decision rule in reservoir management and design 2. Performance optimisation. Water Resources Research, 6(4):{1033–1044}.

    Article  Google Scholar 

  • ReVelle C, Gundelach J (1975) Linear decision rule in reservoir management and design. 4. A rule that minimizes output variance. Water Resources Research, 11(2):{197–203}.

    Article  Google Scholar 

  • Simonovic S P, Mariño M A (1980) Reliability programming in reservoir management: 1. Single multipurpose reservoir. Water Resources Research, 16(5):{844–848}.

    Article  Google Scholar 

  • Simonovic S P, Mariño M A (1981) Reliability programming in reservoir management: 2. Risk-loss Functions. Water Resources Research, 17(4):{822–826}.

    Article  Google Scholar 

  • Simonovic S P and Mariño M A (1982) Reliability programming in reservoir management: 3. System of multipurpose reservoirs. Water Resources Research, 18(4):{735–743}.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Louati, M., Lebdi, F. (2009). Mathematical Models for Reservoir Operation in Tunisia. In: Iglesias, A., Cancelliere, A., Wilhite, D.A., Garrote, L., Cubillo, F. (eds) Coping with Drought Risk in Agriculture and Water Supply Systems. Advances in Natural and Technological Hazards Research, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9045-5_9

Download citation

Publish with us

Policies and ethics