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Use of the Luus–Jaakola optimization method to minimize water and energy consumption in scheduling irrigation with center pivot systems

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Abstract

This paper proposes a new methodology for solving the scheduling problem of center pivot system irrigation timetable based on the Luus–Jaakola optimization method. The new methodology considers as influencing factors the water and energy consumed and the limit of the available flow to the areas that are being irrigated. The methodology allows the implementation of a non-linear model during an acceptable time scenario as it reduces the number of parameters that must be estimated in the optimization problem. The numerical results show that the programmed timetables, which consider a large number of parameters, were successfully processed.

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References

  • Al-Marzoug S, Hodgson R (2007) Application of Luus-Jaakola optimization method to the design of optical coatings. In: Proceedings of the 8th conference and 8th WSEAS international conference on evolutionary computing, Vancouver, 8: 229–234

  • Araujo A (2010) Heuristic appliance to solve the programming problem of irrigation schedule. Master’s thesis, Federal University of Viçosa

  • Araujo A, Leal B, Fernandes K (2011) Grasp heuristic appliance to solve the programming problem of irrigation schedule. In: Proceedings of Brazilian symposium on operational research, Rio de Janeiro

  • Batista E (2007) Evaluation and development of a stagger central system using heuristics—a case study. Master’s thesis, Federal University of Viçosa, Brazil

  • CEMIG (2006) Report of the strategic environmental evaluation of the rural electrification program of the northwest of minas gerais. Tech. rep, Energetic Company of Minas Gerais

  • Dias M (2008) Optimization if solid waste management using Luus-Jaakola algorithm. Master’s thesis, State University of Rio de Janeiro, Nova Friburgo

  • Evans R, Sneed R, Cassel D (2006) Irrigation scheduling to improve water and energy use efficiencies. Tech. rep., North Carolina Cooperative Extension Service (AG 452-4)

  • Fernandes K, Silva-Neto A, Tenenbaum R, Stutz L (2008) Approach of the wave propagation applied to the structural damage identification using Luus–Jaakola method. In: Proceedings of XI computational modeling meeting, Brazil

  • FGV (1998) Revista de Economia Agrícola da FGV - AGROANALYSIS, vol 18, no 3

  • Jones H (1955) Irrigation scheduling: advantages and pitfails of plant-based methods. J Exp Bot 407:2427–2436

    Google Scholar 

  • Knupp D, Silva-Neto A, Sacco W (2009) Radiative properties estimation with the luus-jaakola and the particle collision algorithm. Comput Model Eng 54:121–146

    Google Scholar 

  • Liao B, Luus R (2005) Comparison of the Luus–Jaakola optimization procedure and the genetic algorithm. Eng Optim 37:381–398

    Article  Google Scholar 

  • Luus R (2002) Recent developmetns in optimization and optimal control in chemical engineering, research signpost, Kerela, India, chap Comparison of LJ optimization procedure and IDP in solving time optimal control problems, pp 253–275

  • Luus R (2007) Use of line search in the Luus-Jaakola optimization procedure. In: Proceedings of third IASTED international conference on computational intelligence, Alberta, Canada, pp 128–135

  • Luus R, Jaakola T (1973) Optimization by direct search and systematic reduction of size of search region. AIChE J 19:760–766

    Article  CAS  Google Scholar 

  • Poplewsk I, Piatkowski W, Antos D (2006) Effect of temperature on competitive adsorption of the solute and the organic solvent in reverse-phase liquid chromatography. J Chromatogr A 1103:284–295

    Article  Google Scholar 

  • Rhenals A, Bras R (1981) The irrigation scheduling problem and evapotranspiration uncertainty. Water Resour Res 17(5):1328–1338

    Article  Google Scholar 

  • Sacco W, Alves-Filho H, Platt G (2008) The Luus-Jaakola algorithm applied to a nuclear reactor core design optimization. Int J Nucl Energy Sci Technol 4(1):1–10

    Article  Google Scholar 

  • Sandri D, Corteza D (2009) Performance parameters of sixteen irrigation equipments by central pivot. Ciência e Agrotecnol 33(1):271–278

    Article  Google Scholar 

  • Singh V (2005) Obtaining routh-pade approximants using the Luus-Jaakola algorithm. IEEE Proc Control Theory Appl 152:129–132

    Article  Google Scholar 

  • Yaron D, Dinar A (1982) Optimal allocation of water on a farm during peak season. Am J Agr Econ 64:681–688

    Article  Google Scholar 

  • Yaron D, Dinar A, Meyers S (1987) Irrigation scheduling—theoretical approach and application problems. Water Resour Manage 1(1):17–31

    Article  Google Scholar 

Download references

Acknowledgements

The authors acknowledge the Brazilian National Council for Scientific and Technological Development, CNPq, and the Foundation Carlos Chagas Filho for Research Support, FAPERJ, for their financial support of this research.

Funding

The funding received from Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro with Grant No. 211.451/2016 and Conselho Nacional de Desenvolvimento Científico e Tecnológico with Grant No. 560177/2010-0.

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Correspondence to Diego N. Brandão.

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Handling editor: Isaya Kisekka.

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Fernandes, K.M., Tenenbaum, R.A., Meza, E.B.M. et al. Use of the Luus–Jaakola optimization method to minimize water and energy consumption in scheduling irrigation with center pivot systems. Irrig Sci 38, 213–221 (2020). https://doi.org/10.1007/s00271-020-00663-6

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  • DOI: https://doi.org/10.1007/s00271-020-00663-6

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