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A new hybrid algorithm for global optimization and slope stability evaluation

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Abstract

A new hybrid optimization algorithm was presented by integrating the gravitational search algorithm (GSA) with the sequential quadratic programming (SQP), namely GSA-SQP, for solving global optimization problems and minimization of factor of safety in slope stability analysis. The new algorithm combines the global exploration ability of the GSA to converge rapidly to a near optimum solution. In addition, it uses the accurate local exploitation ability of the SQP to accelerate the search process and find an accurate solution. A set of five well-known benchmark optimization problems was used to validate the performance of the GSA-SQP as a global optimization algorithm and facilitate comparison with the classical GSA. In addition, the effectiveness of the proposed method for slope stability analysis was investigated using three case studies of slope stability problems from the literature. The factor of safety of earth slopes was evaluated using the Morgenstern-Price method. The numerical experiments demonstrate that the hybrid algorithm converges faster to a significantly more accurate final solution for a variety of benchmark test functions and slope stability problems.

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References

  1. DUNCAN J, WRIGHT S. The accuracy of equilibrium methods of slope stability analysis [J]. Engineering Geology, 1980, 16(1/2): 5–17.

    Article  Google Scholar 

  2. DUNCAN J, WRIGHT S. Soil strength and slope stability [M]. New York: John Wiley & Sons, 2005: 58–65.

    Google Scholar 

  3. PHAM H, FREDLUND D. The application of dynamic programming to slope stability analysis [J]. Canadian Geotechnical Journal, 2003, 40(4): 830–847.

    Article  Google Scholar 

  4. CHEN J, YIN J, LEE C. The use of an SQP algorithm in slope stability analysis [J]. Communications in Numerical Methods in Engineering, 2005, 21(1): 23–37.

    Article  MathSciNet  MATH  Google Scholar 

  5. CHENG Y, LI L, CHI S. Performance studies on six heuristic global optimization methods in the location of critical slip surface [J]. Computers and Geotechnics, 2007, 34(6): 462–484.

    Article  Google Scholar 

  6. KHAJEHZADEH M, TAHA M R, EL-SHAFIE A, ESLAMI M. A modified gravitational search algorithm for slope stability analysis [J]. Engineering Applications of Artificial Intelligence, 2012, 25(8): 1589–1597.

    Article  Google Scholar 

  7. CHENG Y, Li L, LANSIVAARA T, CHI S, SUN Y. An improved harmony search minimization algorithm using different slip surface generation methods for slope stability analysis [J]. Engineering Optimization, 2008, 40(2): 95–115.

    Article  Google Scholar 

  8. KHAJEHZADEH M, TAHA M R, EL-SHAFIE A, ESLAMI M. Locating the general failure surface of earth slope using particle swarm optimization [J]. Civil Engineering and Environmental Systems, 2012, 29(1): 41–57.

    Google Scholar 

  9. KHAJEHZADEH M, TAHA M R, EL-SHAFIE A. Reliability analysis of earth slopes using hybrid chaotic particle swarm optimization [J]. Journal of Central South University of Technology, 2011, 18(5): 1626–1637.

    Article  Google Scholar 

  10. LI L, YU G, CHEN Z, CHU X. Discontinuous flying particle swarm optimization algorithm and its application to slope stability analysis [J]. Journal of Central South University of Technology, 2010, 17(4): 852–856.

    Article  Google Scholar 

  11. KHAJEHZADEH M, TAHA M R, EL-SHAFIE A, ESLAMI M. Stability assessment of earth slope using modified particle swarm optimization [J]. Journal of the Chinese Institute of Engineers, 2013, DOI:10.1080/02533839.2012.757041.

    Google Scholar 

  12. ESLAMI M, SHAREEF H, MOHAMED A, KHAJEHZADEH M. Damping controller design for power system oscillations using hybrid GA-SQP [J]. International Review of Electrical Engineering-IREE, 2011, 6(2): 888–896.

    Google Scholar 

  13. NOEL M M. A new gradient based particle swarm optimization algorithm for accurate computation of global minimum [J]. Applied Soft Computing, 2011, 12(1): 353–359.

    Article  Google Scholar 

  14. RASHEDI E, NEZAMABADI-POUR H, SARYAZDI S. GSA: A gravitational search algorithm [J]. Information Sciences, 2009, 179(13): 2232–2248.

    Article  MATH  Google Scholar 

  15. ESLAMI M, SHAREEF H, MOHAMED A, KHAJEHZADEH M. Gravitational search algorithm for coordinated design of PSS and TCSC as damping controller [J]. Journal of Central South University of Technology, 2012, 19(4): 923–932.

    Article  Google Scholar 

  16. BOGGS P T, TOLLE J W. Sequential quadratic programming [J]. Acta Numerica, 1995, 4(1): 1–51.

    Article  MathSciNet  Google Scholar 

  17. HOCK W, SCHITTKOWSKI K. A comparative performance evaluation of 27 nonlinear programming codes [J]. Computing, 1983, 30(4): 335–358.

    Article  MathSciNet  MATH  Google Scholar 

  18. MORGENSTERN N R, PRICE V E. The analysis of the stability of general slip surfaces [J]. Geotechinque, 1965, 15(1): 79–93.

    Article  Google Scholar 

  19. ZHU D, LEE C, QIAN Q, CHEN G. A concise algorithm for computing the factor of safety using the Morgenstern-Price method [J]. Canadian Geotechnical Journal, 2005, 42(1): 272–278.

    Article  Google Scholar 

  20. LI S, SHANGGUAN Z, DUAN H, LIU Y, LUAN M. Searching for critical failure surface in slope stability analysis by using hybrid genetic algorithm [J]. Geomechanics and Engineering, 2009, 1(1): 85–96.

    Article  Google Scholar 

  21. SPENCER E. A method of analysis of the stability of embankments assuming parallel inter-slice forces [J]. Geotechnique, 1967, 17(1): 11–26.

    Article  Google Scholar 

  22. GOH A. Search for critical slip circle using genetic algorithms [J]. Civil Engineering and Environmental Systems, 2000, 17(3): 181–211.

    Article  Google Scholar 

  23. BISHOP A W. The use of the slip circle in the stability analysis of earth slopes [J]. Geotechinque, 1955, 5(1): 7–17.

    Article  Google Scholar 

  24. LESHCHINSKY D, HUANG C C. Generalized slope stability analysis: Interpretation, modification, and comparison [J]. Journal of Geotechnical Engineering, 1992, 118(10): 1559–1576.

    Article  Google Scholar 

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Authors and Affiliations

  1. Civil and Structural Engineering Department, National University of Malaysia, Bangi, 43600, Malaysia

    Taha Mohd Raihan

  2. Civil Engineering Department, Anar Branch, Islamic Azad University, Anar, Iran

    Khajehzadeh Mohammad

  3. Electrical Engineering Department, Science and Research Branch, Islamic Azad University, Kerman, Iran

    Eslami Mahdiyeh

Authors
  1. Taha Mohd Raihan
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  2. Khajehzadeh Mohammad
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  3. Eslami Mahdiyeh
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Correspondence to Khajehzadeh Mohammad.

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Raihan, T.M., Mohammad, K. & Mahdiyeh, E. A new hybrid algorithm for global optimization and slope stability evaluation. J. Cent. South Univ. 20, 3265–3273 (2013). https://doi.org/10.1007/s11771-013-1850-y

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  • DOI: https://doi.org/10.1007/s11771-013-1850-y

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