Reservoir Operation Optimization using Stochastic Adaptive Refinement of Ant Algorithms

Document Type : Original Article

Authors

1 Associate Professor, Civil Engineering Department, Iran University of Science and Technology, Tehran, Iran, Email:

2 M.Sc Student, Civil Engineering Department, Iran University of Science and Technology, Tehran, Iran

3 Ph.D. candidate, Civil Engineering Department, Iran University of Science and Technology, Tehran, Iran

Abstract

The Algorithm of the Ant Colony Optimisation (ACO) is basically developed and used for discrete optimization problems. However many real engineering problems such as reservoir operation problems are of a continuous nature and using ant based algorithms on such problems requires discretisation of the decision variables. An adaptive refinement mechanism is suggested in this paper to improve the performance of ant algorithms in solving continuous optimization problems. This is an iterative method starting with a uniform discretisation of the search space. A Gaussian distribution is used for discretisation of the decision variables in the subsequent iterations. The average and standard deviation of the Gaussian distribution is computed in each iteration using the optimal solution obtained in the previous iterations. The proposed mechanism was used to solve some benchmark function optimization problems and a reservoir operation problem. The results indicated the efficiency and effectiveness of the proposed method to improve the performance of the ant algorithms for continuous optimization problems.   

Keywords


جلالی، م. ر. (1384). "طراحی و بهره‌برداری بهینه از هیدروسیستم‌ها با الگوریتم جامعه مورچه‌ها یک رهیافت فراکاوشی جدید."رساله دکتری، دانشگاه علم و صنعت ایران، دانشکده عمران.
   Abbaspour,  K.C., Schulin,  R., Van  Genuchten,  M.T. (2001). " Estimating  unsaturated soil hydrulic parameters using ant colony optimization." adv water   resour, 24(8), pp. 827-841.        
   Afshar,  M.H.(2005)." Application of  Max-Min ant algorithm to joint layout  and size optimization of  pipe network." Engineering optimization, 38(3), pp. 1-19.
  Afshar, M.H. (2006)." Improving the efficiency of ant algorithms using adaptive refinement: Application to storm water network design. "Advances in Water                 Resources,29, pp. 1371-1382.
  Bullnheimer,  B.,  Hartl,  R.F.,  Strauss,  C.(1999). "A new rank-based version of the ant system: A computational study." Central European Journal for Operations Research and Echonomics, 7(1), pp. 25-38. 
  Colorni,  A.,Dorigo,  M.,Maniezzo,  V.(1991)."Ant System:An autocatailytic optimizing process. "Tech.Report 91-016, Politecnico di Milano,Italy. 
   Cordon,  O., Fernandez de Viana,  I., Herrena,  F., Moreno,  L.(2000)."A new ACO  model integrating evolutionary computation concepts: the best-worst ant system."In Prceedings of ANTS'2000-From Ant Colonies to Artifical Ants:Second International Workshop on Ant Algorithms, Brussels, Belgium,               pp. 22-29
   Dorigo,  M., Gambardella,  L.M.(1997a)." Ant colony system: A cooperative learning approach to the traveling salesman problem."IEEE Transactions on                Evolutionary Computation, 1(1), pp. 53-66.
Dorigo, M., Gambardella, L.M.(1997b)." Ant colonies for traveling salesman problem." BioSystem, 43, pp. 73-81.
Gambardella, L.M, Dorigo,  M. (2000)."An ant colony system hybridized with a new local search for the sequential ordering problem."INFORMS Journal on               Computing, 12(3), pp. 237-255.
Gen, M., Cheng, R.W.(1997). Genetic Algorithms and Engineering Design. John Wiley & Sons, Inc.
Maier,  H.R., Simpson, A.R., Zecchin, A.C., Foong,  W.K., Phang,  K.Y., Seah,  H.Y.,Tan,  C.L.(2003). "Ant colony optimization for design of water                 distribution system." J. Water Resour. Plng. and Mgmt.,129(3), pp. 200-209.
 
Manielzo, V. ,Colorni, A. (1996). "The ant system:optimization by a colony of             cooperating ants. "IEEE Transsyst Man Cybem., 26, pp. 29-42.
   Simpson, A.R.,Maier,  H.R., Foong,  W.K., Phang,  K.Y., Seah,  H.Y.,Tan, C.L.(2001). "Selection of parameters for ant colony optimization applied to the optimal design of water distribution systems. "Proc.,Int. Congress on Modeling and Simulation ,Canberra,Australia, pp. 1934-1936.                            
Stutzle, T.,Hoos, H.H.(2000). "Max-Min Ant system." Future Generation Computer System, 16(8), pp. 889-914.
   Zecchin, A.C., Maier,  H.R., Simpson,  A.R., Roberts,  A.,Berrisford , M.J.,Leonard, M.(2003). "Max-Min ant system applied to water distribution  system  optimization."Modsim 2003-International Congress on Modeling and Simulation, Modeling and Simulation Society of Australia and New Zealand  Inc., Townsville,Australia,2, pp. 795-800.