Skip to main content
Erschienen in: Water Resources Management 13/2016

01.10.2016

Application of New Hybrid Optimization Technique for Parameter Estimation of New Improved Version of Muskingum Model

verfasst von: Majid Niazkar, Seied Hosein Afzali

Erschienen in: Water Resources Management | Ausgabe 13/2016

Einloggen

Aktivieren Sie unsere intelligente Suche um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The Muskingum method is one of the most utilized lumped flood routing model in which calibration of its parameters provides an active area of research in water resources engineering. Although various techniques and versions of Muskingum model have been presented to estimate the parameters of different versions of Muskingum model, more rigorous approaches and models are still required to improve the computational precision of calibration process. In this study, a new hybrid technique was proposed for Muskingum parameter estimation which combines the Modified Honey Bee Mating Optimization (MHBMO) and Generalized Reduced Gradient (GRG) algorithms. According to the conducted literature-review on the improvement of Muskingum flood routing models, a new six-parameter Muskingum model was proposed. The hybrid technique was successfully applied for parameter estimation of this new version of Muskingum model for three case studies selected from literature. The obtained results were compared with those of other methods using several common performance evaluation criteria. The new hybrid method with the new proposed Muskingum model perform the best among all the considered approaches based on most of utilized criteria. The new Muskingum model significantly reduces the SSQ value for the double-peak case study. Finally, the achieved results demonstrate that not only the hybrid MHBMO-GRG algorithm overcomes the shortcomings of both phenomenon-mimicking and mathematical optimization techniques, but also the presented Muskingum model is appeared to be the most reliable version of Muskingum model comparing with other considered models in this research.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Afzali S (2016) Variable-parameter Muskingum model. Iranian J Sci Technol, Trans Civil Eng 40(1):59–68CrossRef Afzali S (2016) Variable-parameter Muskingum model. Iranian J Sci Technol, Trans Civil Eng 40(1):59–68CrossRef
Zurück zum Zitat Afzali SH, Darabi A, Niazkar M (2016) Steel frame optimal design using MHBMO algorithm. Int J Steel Struct 16(2):455–465CrossRef Afzali SH, Darabi A, Niazkar M (2016) Steel frame optimal design using MHBMO algorithm. Int J Steel Struct 16(2):455–465CrossRef
Zurück zum Zitat Barati R (2011) Parameter estimation of nonlinear Muskingum models using Nelder-Mead Simplex algorithm. J Hydrol Eng 16(11):946–954CrossRef Barati R (2011) Parameter estimation of nonlinear Muskingum models using Nelder-Mead Simplex algorithm. J Hydrol Eng 16(11):946–954CrossRef
Zurück zum Zitat Barati R (2012) Discussion of parameter estimation of the nonlinear Muskingum model using Parameter-Setting-Free Harmony Search by Zong Woo Geem Barati R (2012) Discussion of parameter estimation of the nonlinear Muskingum model using Parameter-Setting-Free Harmony Search by Zong Woo Geem
Zurück zum Zitat Barati R (2013) Application of Excel Solver for parameter estimation of the nonlinear Muskingum models. KSCE J Civil Eng 17(5):1139–1148CrossRef Barati R (2013) Application of Excel Solver for parameter estimation of the nonlinear Muskingum models. KSCE J Civil Eng 17(5):1139–1148CrossRef
Zurück zum Zitat Barati R (2014) Discussion of parameter estimation of the nonlinear Muskingum flood-routing model using a Hybrid Harmony Search algorithm by Halil Karahan, Gurhan Gurarslan, and Zong Woo Geem. J Hydrol Eng 19(4):842–845CrossRef Barati R (2014) Discussion of parameter estimation of the nonlinear Muskingum flood-routing model using a Hybrid Harmony Search algorithm by Halil Karahan, Gurhan Gurarslan, and Zong Woo Geem. J Hydrol Eng 19(4):842–845CrossRef
Zurück zum Zitat Chow VT (1959) Open channel hydraulics. McGraw-Hill, New York Chow VT (1959) Open channel hydraulics. McGraw-Hill, New York
Zurück zum Zitat Chu HJ, Chang LC (2009) Applying Particle Swarm Optimization to parameter estimation of the nonlinear Muskingum model. J Hydrol Eng 14(9):1024–1027CrossRef Chu HJ, Chang LC (2009) Applying Particle Swarm Optimization to parameter estimation of the nonlinear Muskingum model. J Hydrol Eng 14(9):1024–1027CrossRef
Zurück zum Zitat Das A (2004) Parameter estimation for Muskingum models. J Irrig Drain Eng 130(2):140–147CrossRef Das A (2004) Parameter estimation for Muskingum models. J Irrig Drain Eng 130(2):140–147CrossRef
Zurück zum Zitat Easa SM (2013a) Improved nonlinear Muskingum model with variable exponent parameter. J Hydrol Eng 18(12):1790–1794CrossRef Easa SM (2013a) Improved nonlinear Muskingum model with variable exponent parameter. J Hydrol Eng 18(12):1790–1794CrossRef
Zurück zum Zitat Easa SM (2013b) New and improved four-parameter non-linear Muskingum model. Proc ICE-Water Manag 167(5):288–298 Easa SM (2013b) New and improved four-parameter non-linear Muskingum model. Proc ICE-Water Manag 167(5):288–298
Zurück zum Zitat Easa SM (2014) Versatile Muskingum flood model with four variable parameters. Proc ICE-Water Manag 168(3):139–148 Easa SM (2014) Versatile Muskingum flood model with four variable parameters. Proc ICE-Water Manag 168(3):139–148
Zurück zum Zitat Easa SM (2015) Evaluation of nonlinear Muskingum model with continuous and discontinuous exponent parameters. KSCE Journal of Civil Engineering pp 1–10, doi:10.1007/s12205-015-0154-1 Easa SM (2015) Evaluation of nonlinear Muskingum model with continuous and discontinuous exponent parameters. KSCE Journal of Civil Engineering pp 1–10, doi:10.​1007/​s12205-015-0154-1
Zurück zum Zitat Easa SM, Barati R, Shahheydari EJN, Barati T (2014) Discussion: New and improved four-parameter non-linear Muskingum model. Proc ICE-Water Manag 167(10):612–615 Easa SM, Barati R, Shahheydari EJN, Barati T (2014) Discussion: New and improved four-parameter non-linear Muskingum model. Proc ICE-Water Manag 167(10):612–615
Zurück zum Zitat Gavilan G, Houck MH (1985) Optimal Muskingum river routing. In: Computer applications in water resources, ASCE, pp 1294–1302 Gavilan G, Houck MH (1985) Optimal Muskingum river routing. In: Computer applications in water resources, ASCE, pp 1294–1302
Zurück zum Zitat Geem ZW (2006) Parameter estimation for the nonlinear Muskingum model using the BFGS technique. J Irrig Drain Eng 132(5):474–478CrossRef Geem ZW (2006) Parameter estimation for the nonlinear Muskingum model using the BFGS technique. J Irrig Drain Eng 132(5):474–478CrossRef
Zurück zum Zitat Geem ZW (2010) Parameter estimation of the nonlinear Muskingum model using Parameter-Setting-Free Harmony Search. J Hydrol Eng 16(8):684–688CrossRef Geem ZW (2010) Parameter estimation of the nonlinear Muskingum model using Parameter-Setting-Free Harmony Search. J Hydrol Eng 16(8):684–688CrossRef
Zurück zum Zitat Gill MA (1978) Flood routing by the Muskingum method. J Hydrol 36(3):353–363CrossRef Gill MA (1978) Flood routing by the Muskingum method. J Hydrol 36(3):353–363CrossRef
Zurück zum Zitat Haddad OB, Hamedi F, Fallah-Mehdipour E, Orouji H, Mariño MA (2015a) Application of a hybrid optimization method in Muskingum parameter estimation. Journal of Irrigation and Drainage Engineering p 04015026 Haddad OB, Hamedi F, Fallah-Mehdipour E, Orouji H, Mariño MA (2015a) Application of a hybrid optimization method in Muskingum parameter estimation. Journal of Irrigation and Drainage Engineering p 04015026
Zurück zum Zitat Haddad OB, Hamedi F, Orouji H, Pazoki M, Loáiciga HA (2015b) A re-parameterized and improved nonlinear Muskingum model for flood routing. Water Resour Manag 29(9):3419–3440CrossRef Haddad OB, Hamedi F, Orouji H, Pazoki M, Loáiciga HA (2015b) A re-parameterized and improved nonlinear Muskingum model for flood routing. Water Resour Manag 29(9):3419–3440CrossRef
Zurück zum Zitat Hamedi F, Haddad O, Orouji H (2015) Discussion of application of Excel Solver for parameter estimation of the nonlinear Muskingum models by Reza Barati. KSCE J Civil Eng 1(19):340–342CrossRef Hamedi F, Haddad O, Orouji H (2015) Discussion of application of Excel Solver for parameter estimation of the nonlinear Muskingum models by Reza Barati. KSCE J Civil Eng 1(19):340–342CrossRef
Zurück zum Zitat Hirpurkar P, Ghare AD (2014) Parameter estimation for the nonlinear forms of the Muskingum model. J Hydrol Eng 20(8):04014,085CrossRef Hirpurkar P, Ghare AD (2014) Parameter estimation for the nonlinear forms of the Muskingum model. J Hydrol Eng 20(8):04014,085CrossRef
Zurück zum Zitat Hosseini SM (2009) Application of spreadsheets in developing flexible multiple-reach and multiple-branch methods of Muskingum flood routing. Comput Appl Eng Educ 17(4):448–454CrossRef Hosseini SM (2009) Application of spreadsheets in developing flexible multiple-reach and multiple-branch methods of Muskingum flood routing. Comput Appl Eng Educ 17(4):448–454CrossRef
Zurück zum Zitat Karahan H (2014) Discussion of improved nonlinear Muskingum model with variable exponent parameter by Said M. Easa. J Hydrol Eng 19(10):07014,007CrossRef Karahan H (2014) Discussion of improved nonlinear Muskingum model with variable exponent parameter by Said M. Easa. J Hydrol Eng 19(10):07014,007CrossRef
Zurück zum Zitat Karahan H, Gurarslan G, Geem ZW (2013) Parameter estimation of the nonlinear Muskingum flood-routing model using a hybrid Harmony Search algorithm. J Hydrol Eng 18(3):352–360CrossRef Karahan H, Gurarslan G, Geem ZW (2013) Parameter estimation of the nonlinear Muskingum flood-routing model using a hybrid Harmony Search algorithm. J Hydrol Eng 18(3):352–360CrossRef
Zurück zum Zitat Karahan H, Gurarslan G, Geem ZW (2015) A new nonlinear Muskingum flood routing model incorporating lateral flow. Eng Optim 47(6):737–749CrossRef Karahan H, Gurarslan G, Geem ZW (2015) A new nonlinear Muskingum flood routing model incorporating lateral flow. Eng Optim 47(6):737–749CrossRef
Zurück zum Zitat Kim JH, Geem ZW, Kim ES (2001) Parameter estimation of the nonlinear Muskingum model using Harmony Search. JAWRA J Amer Water Resour Assoc 37(5):1131–1138CrossRef Kim JH, Geem ZW, Kim ES (2001) Parameter estimation of the nonlinear Muskingum model using Harmony Search. JAWRA J Amer Water Resour Assoc 37(5):1131–1138CrossRef
Zurück zum Zitat Latt ZZ (2015) Application of feedforward artificial neural network in Muskingum flood routing: a black-box forecasting approach for a natural river system. Water Resour Manag 29(14):4995–5014CrossRef Latt ZZ (2015) Application of feedforward artificial neural network in Muskingum flood routing: a black-box forecasting approach for a natural river system. Water Resour Manag 29(14):4995–5014CrossRef
Zurück zum Zitat Luo J, Xie J (2010) Parameter estimation for nonlinear Muskingum model based on Immune Clonal Selection Algorithm. J Hydrol Eng 15(10):844–851CrossRef Luo J, Xie J (2010) Parameter estimation for nonlinear Muskingum model based on Immune Clonal Selection Algorithm. J Hydrol Eng 15(10):844–851CrossRef
Zurück zum Zitat McCarthy GT (1938) The unit hydrograph and flood routing. In: Proceeding of the Conference of North Atlantic Division. U.S. Army Corps of Engineer District, Wahsington, DC McCarthy GT (1938) The unit hydrograph and flood routing. In: Proceeding of the Conference of North Atlantic Division. U.S. Army Corps of Engineer District, Wahsington, DC
Zurück zum Zitat Moghaddam A, Behmanesh J, Farsijani A (2016) Parameters estimation for the new four-parameter nonlinear Muskingum model using the Particle Swarm Optimization. Water Resour Manag 30(7):2143–2160CrossRef Moghaddam A, Behmanesh J, Farsijani A (2016) Parameters estimation for the new four-parameter nonlinear Muskingum model using the Particle Swarm Optimization. Water Resour Manag 30(7):2143–2160CrossRef
Zurück zum Zitat Mohan S (1997) Parameter estimation of nonlinear Muskingum models using Genetic Algorithm. J Hydraul Eng 123(2):137–142CrossRef Mohan S (1997) Parameter estimation of nonlinear Muskingum models using Genetic Algorithm. J Hydraul Eng 123(2):137–142CrossRef
Zurück zum Zitat Niazkar M, Afzali SH (2015a) Assessment of Modified Honey Bee Mating Optimization for parameter estimation of nonlinear Muskingum models. J Hydrol Eng 20(4):04014,055CrossRef Niazkar M, Afzali SH (2015a) Assessment of Modified Honey Bee Mating Optimization for parameter estimation of nonlinear Muskingum models. J Hydrol Eng 20(4):04014,055CrossRef
Zurück zum Zitat Niazkar M, Afzali SH (2015b) Optimum design of lined channel sections. Water Resour Manag 29(6):1921–1932CrossRef Niazkar M, Afzali SH (2015b) Optimum design of lined channel sections. Water Resour Manag 29(6):1921–1932CrossRef
Zurück zum Zitat Niazkar M, Afzali SH (2016) Streamline performance of Excel in stepwise implementation of numerical solutions. Comput Appl Eng Educ 24(4):555–566CrossRef Niazkar M, Afzali SH (2016) Streamline performance of Excel in stepwise implementation of numerical solutions. Comput Appl Eng Educ 24(4):555–566CrossRef
Zurück zum Zitat O’Donnel T (1985) A direct three-parameter Muskingum procedure incorporating lateral inflow. Hydrol Sci J 30(4):479–496CrossRef O’Donnel T (1985) A direct three-parameter Muskingum procedure incorporating lateral inflow. Hydrol Sci J 30(4):479–496CrossRef
Zurück zum Zitat Tung YK (1985) River flood routing by nonlinear Muskingum method. J Hydraul Eng 111(12):1447–1460CrossRef Tung YK (1985) River flood routing by nonlinear Muskingum method. J Hydraul Eng 111(12):1447–1460CrossRef
Zurück zum Zitat Vatankhah AR (2014) Discussion of parameter estimation of the nonlinear Muskingum flood-routing model using a hybrid Harmony Search algorithm by Halil Karahan, Gurhan Gurarslan, and Zong Woo Geem. J Hydrol Eng 19(4):839–842CrossRef Vatankhah AR (2014) Discussion of parameter estimation of the nonlinear Muskingum flood-routing model using a hybrid Harmony Search algorithm by Halil Karahan, Gurhan Gurarslan, and Zong Woo Geem. J Hydrol Eng 19(4):839–842CrossRef
Zurück zum Zitat Viessman W, Lewis GL (2003) Introduction to Hydrology, 5th edn. Prentice Hall India (P) Limited Viessman W, Lewis GL (2003) Introduction to Hydrology, 5th edn. Prentice Hall India (P) Limited
Zurück zum Zitat Wilson EM (1974) Engineering hydrology. Macmillan Education LTD, Hampshire, United Kingdom Wilson EM (1974) Engineering hydrology. Macmillan Education LTD, Hampshire, United Kingdom
Zurück zum Zitat Xu DM, Qiu L, Chen SY (2011) Estimation of nonlinear Muskingum model parameter using Differential Evolution. J Hydrol Eng 17(2):348–353CrossRef Xu DM, Qiu L, Chen SY (2011) Estimation of nonlinear Muskingum model parameter using Differential Evolution. J Hydrol Eng 17(2):348–353CrossRef
Zurück zum Zitat Yoon J, Padmanabhan G (1993) Parameter estimation of linear and nonlinear Muskingum models. J Water Resour Plan Manag 119(5):600–610CrossRef Yoon J, Padmanabhan G (1993) Parameter estimation of linear and nonlinear Muskingum models. J Water Resour Plan Manag 119(5):600–610CrossRef
Zurück zum Zitat Yuan X, Wu X, Tian H, Yuan Y, Adnan RM (2016) Parameter identification of nonlinear Muskingum model with backtracking search algorithm. Water Resour Manag 30(8):2767–2783CrossRef Yuan X, Wu X, Tian H, Yuan Y, Adnan RM (2016) Parameter identification of nonlinear Muskingum model with backtracking search algorithm. Water Resour Manag 30(8):2767–2783CrossRef
Metadaten
Titel
Application of New Hybrid Optimization Technique for Parameter Estimation of New Improved Version of Muskingum Model
verfasst von
Majid Niazkar
Seied Hosein Afzali
Publikationsdatum
01.10.2016
Verlag
Springer Netherlands
Erschienen in
Water Resources Management / Ausgabe 13/2016
Print ISSN: 0920-4741
Elektronische ISSN: 1573-1650
DOI
https://doi.org/10.1007/s11269-016-1449-9

Weitere Artikel der Ausgabe 13/2016

Water Resources Management 13/2016 Zur Ausgabe