Determination of Optimum Cross Section of Earth Dams Using Ant Colony Optimization Algorithm

Earth Dams are one of the most important and expensive civil engineering structures to which a considerable amount of budget is allocated. Their construction costs are mainly related to the size of embankments, which in turn depends on their cross section area. Therefore, reductions in cross section areas of earth dams would cause decreases in embankment volumes leading to a significant reduction in the construction cost of these structures. On the other hand, it is almost impossible to obtain optimum cross section in earth dams with desired stability and acceptable operational dimensions using traditional design methods. In this paper, ant colony optimization algorithm (ACO), a well-known and powerful metaheuristic method used to tackle problems in geotechnical engineering, was used to solve this complicated problem. The results showed that applying ideal and optimum slope and berm arrangements resulted from ACO in designing embankments and earth dams with different heights could lead to decreases in embankment volumes compared to those without any berms or those with berms resulting from usual designs with trial and error.

[1]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[2]  V. R. Greco EFFICIENT MONTE CARLO TECHNIQUE FOR LOCATING CRITICAL SLIP SURFACE , 1996 .

[3]  Fred W. Glover,et al.  Tabu Search - Part I , 1989, INFORMS J. Comput..

[4]  Paul McCombie,et al.  The use of the simple genetic algorithm in finding the critical factor of safety in slope stability analysis , 2002 .

[5]  Optimization of Embankments by Ant Colony Optimization Algorithm , 2012 .

[6]  Junjie Li,et al.  An artificial bee colony algorithm for locating the critical slip surface in slope stability analysis , 2013 .

[7]  Aniruddha Sengupta,et al.  Locating the critical failure surface in a slope stability analysis by genetic algorithm , 2009, Appl. Soft Comput..

[8]  Thomas Stützle,et al.  MAX-MIN Ant System , 2000, Future Gener. Comput. Syst..

[9]  Abdallah I. Husein Malkawi,et al.  Global Search Method for Locating General Slip Surface Using Monte Carlo Techniques , 2001 .

[10]  K. M. Neaupane,et al.  Determination of the critical failure surface for slope stability analysis using ant colony optimization , 2009 .

[11]  B. Satyanarayana,et al.  A Method of Analysis of the Stability of Embankments Assuming Parallel Inter-Slice Forces , 1967 .

[12]  Vageesha S. Mathada,et al.  Slope Stability Assessment – A Comparison of Probabilistic , Possibilistic and Hybrid Approaches , 2006 .

[13]  Pasquale Ponterosso,et al.  Optimization of reinforced soil embankments by genetic algorithm , 2000 .

[14]  村山 朔郎,et al.  International Conference on Soil Mechanics and Foundation Engineering , 1947, Nature.

[15]  Zu-yu Chen,et al.  Evaluation of minimum factor of safety in slope stability analysis , 1988 .

[16]  Claudia Cherubini,et al.  Probabilistic and fuzzy reliability analysis of a sample slope near Aliano , 2003 .

[17]  Thomas Stützle,et al.  Ant Colony Optimization Theory , 2004 .

[18]  Ali Kaveh,et al.  Shape optimization of arch dams with frequency constraints by enhanced charged system search algorithm and neural network , 2015 .

[19]  K. S. Li,et al.  Rapid evaluation of the critical slip surface in slope stability problems , 1987 .

[20]  Junjie Li,et al.  System reliability analysis of slopes using least squares support vector machines with particle swarm optimization , 2016, Neurocomputing.

[21]  C. R. Suribabu,et al.  OPTIMAL DESIGN OF GRAVITY DAM USING DIFFERENTIAL EVOLUTION ALGORITHM , 2015 .

[22]  S. Chi,et al.  Determination of the Critical Slip Surface Using Artificial Fish Swarms Algorithm , 2008 .

[23]  Jim W Hall,et al.  Uncertainty analysis in a slope hydrology and stability model using probabilistic and imprecise information , 2004 .

[24]  Holger H. Hoos,et al.  Improving the Ant System: A Detailed Report on the MAX-MIN Ant System , 1996 .

[25]  R. Baker,et al.  THEORETICAL ANALYSIS OF THE STABILITY OF SLOPES , 1978 .

[26]  B. Bullnheimer,et al.  A NEW RANK BASED VERSION OF THE ANT SYSTEM: A COMPUTATIONAL STUDY , 1997 .

[27]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[28]  Marco Dorigo,et al.  Optimization, Learning and Natural Algorithms , 1992 .

[29]  Siamak Talatahari,et al.  OPTIMUM DESIGN OF DOUBLE CURVATURE ARCH DAMS USING A QUICK HYBRID CHARGED SYSTEM SEARCH ALGORITHM , 2016 .

[30]  Y. M. Cheng,et al.  Location of critical failure surface and some further studies on slope stability analysis , 2003 .

[31]  Van Uu Nguyen,et al.  Determination of Critical Slope Failure Surfaces , 1985 .

[32]  K. Lee,et al.  A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice , 2005 .

[33]  Mehdi Mousavi,et al.  Imperialistic Competitive Algorithm: A metaheuristic algorithm for locating the critical slip surface in 2-Dimensional soil slopes , 2016 .

[34]  K. Lee,et al.  A new metaheuristic algorithm for continuous engineering optimization : harmony search theory and practice , 2005 .

[35]  Junjie Li,et al.  Slope reliability analysis using surrogate models via new support vector machines with swarm intelligence , 2016 .

[36]  Ali Kaveh,et al.  Shape optimization of arch dams under earthquake loading using meta-heuristic algorithms , 2013 .

[37]  Yung-ming Cheng,et al.  Performance studies on six heuristic global optimization methods in the location of critical slip surface , 2007 .

[38]  Andrew C. Heath,et al.  Simple genetic algorithm search for critical non-circular failure surface in slope stability analysis , 2005 .

[39]  Jay S. DeNatale,et al.  RAPID IDENTIFICATION OF CRITICAL SLIP SURFACES: STRUCTURE , 1991 .

[40]  Ali Kaveh,et al.  STABILITY BASED OPTIMUM DESIGN OF CONCRETE GRAVITY DAM USING CSS, CBO AND ECBO ALGORITHMS , 2015 .

[41]  R. Baker,et al.  Determination of the critical slip surface in slope stability computations , 1980 .

[42]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[43]  Hermanus P. J. Bolton,et al.  Global search for critical failure surface in slope stability analysis , 2003 .