Engineering with Computers

, Volume 35, Issue 1, pp 47–56 | Cite as

Proposing a novel hybrid intelligent model for the simulation of particle size distribution resulting from blasting

  • S. Farid F. Mojtahedi
  • Isa Ebtehaj
  • Mahdi HasanipanahEmail author
  • Hossein Bonakdari
  • Hassan Bakhshandeh Amnieh
Original Article


In the open-pit mines and civil projects, drilling and blasting is the most common method for rock fragmentation aims. This article proposes a new hybrid forecasting model based on firefly algorithm, as an algorithm optimizer, combined with the adaptive neuro-fuzzy inference system for estimating the fragmentation. In this regard, 72 datasets were collected from Shur river dam region, and the required parameters were measured. Using the different input parameters, six hybrid models were constructed. In these models, 58 and 14 data were used for training and testing, respectively. The proposed hybrid models were then evaluated in accordance with statistical criteria such as coefficient of determination and Nash and Sutcliffe. Based on obtained results, the proposed model with five input parameters, including burden, spacing, stemming, powder factor and maximum charge per delay can estimate rock fragmentation better than the linear multiple regression. The values of the coefficient of determination for the proposed hybrid model and linear multiple regression were 0.980 and 0.669, respectively, that demonstrate the hybrid forecasting model proposed in the present study can be introduced as a reliable method for estimating the fragmentation.


Blasting Fragmentation ANFIS Firefly algorithm 


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  • S. Farid F. Mojtahedi
    • 1
  • Isa Ebtehaj
    • 2
    • 3
  • Mahdi Hasanipanah
    • 4
    Email author
  • Hossein Bonakdari
    • 2
    • 3
  • Hassan Bakhshandeh Amnieh
    • 5
  1. 1.Civil Engineering DepartmentSharif University of TechnologyTehranIran
  2. 2.Department of Civil EngineeringRazi UniversityKermanshahIran
  3. 3.Water and Wastewater Research CenterRazi UniversityKermanshahIran
  4. 4.Young Researchers and Elite Club, Qom BranchIslamic Azad UniversityQomIran
  5. 5.School of Mining, College of EngineeringUniversity of TehranTehranIran

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