Development of a novel hybrid intelligent model for solving engineering problems using GS-GMDH algorithm

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ORIGINAL ARTICLE

Development of a novel hybrid intelligent model for solving engineering problems using GS‑GMDH algorithm Danial Jahed Armaghani1 · Mahdi Hasanipanah2 · Hassan Bakhshandeh Amnieh3 · Dieu Tien Bui4,5 · Peyman Mehrabi6 · Majid Khorami7 Received: 14 March 2019 / Accepted: 29 April 2019 © Springer-Verlag London Ltd., part of Springer Nature 2019

Abstract This paper is aimed to develop and verify a novel hybrid intelligent model, which is indeed a new version of GMDH algorithm and named generalized structure of GMDH (GS-GMDH) to solve engineering problems. The proposed GS-GMDH model was validated its capability of predicting blast-induced ground vibration, a very important safety issues in the mining industry. For this regard, a data set with a totally of 96 samples was gathered from a blasting site in Shur River Dam region, Iran. Among them, 67 and 29 samples were used for constructing and testing the model, respectively. To check the accuracy and robustness of the proposed algorithm, the values of the performance evaluation measures, i.e., R2, variance accounted for (VAF), mean absolute error, root mean square error, scatter index, and Nash–Sutcliffe model efficiency (EN–S), were used. The results showed the efficiency of the GS-GMDH algorithm in the prediction of the blast-induced ground vibration. It was also confirmed that the proposed algorithm can be applied effectively to solving/predicting the engineering problems and it has also the potential to be generalized to other fields. Keywords  GMDH · GS-GMDH · Blasting · Ground vibration

1 Introduction The earthquakes can be created by two main reasons, natural or manmade. In general, the natural earthquake is related to the movement of tectonic plates over the Earth’s mantle, while the man-made earthquake is generated by human activities. Blasting operation is one of these activities that induce ground vibrations. Such operation is performed in

surface or underground mines as well as civil projects to fragment the hard rocks. The blasting creates some undesirable effects such as ground vibration, airblast, flyrock, backbreak, noise, and dust (see Fig. 1) [1–5]. Among them, the ground vibration is considered as the most important undesirable effect induced by blasting. The blast-induced ground vibration may lead to severe damages to the nearby area, such as residential structures, railroads, and underground

* Dieu Tien Bui [email protected]

2



Department of Mining Engineering, University of Kashan, Kashan, Iran

Danial Jahed Armaghani [email protected]

3



School of Mining, College of Engineering, University of Tehran, Tehran 11155‑4563, Iran

Mahdi Hasanipanah [email protected]

4



Geographic Information Science Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Hassan Bakhshandeh Amnieh [email protected]

5



Faculty of Environment and Labour Safety, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Peyman Mehrabi [email protected]

6



Department of Civil Engineering, K.N Toosi