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A combined Bernoulli collocation method and imperialist competitive algorithm for optimal control of sediment in the dam reservoirs | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 8، دوره 5، شماره 1، 2024، صفحه 71-80 اصل مقاله (501.83 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2023.21635.1109 | ||
| نویسندگان | ||
| Raheleh Khanduzi* 1؛ Asyieh Ebrahimzadeh2؛ Zahra Ebrahimzadeh3 | ||
| 1Department of Mathematics and Statistics, Gonbad Kavous University, P.O. Box 49717-99151, Gonbad Kavous, Golestan, Iran | ||
| 2Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran | ||
| 3PhD student, Department of Natural Engineering, Faculty of Natural Resources and Earth Sciences, Shahrekord University, Shahrekord, Iran | ||
| چکیده | ||
| Reservoir sedimentation increases economic cost and overflow of dam water. An optimal control problem (OCP) with singularly perturbed equations of motion is perused in the fields of sediment management during a finite lifespan. Subsequently the OCP is transformed to a nonlinear programming problem by utilizing a collocation approach, and then we employed the imperialist competitive algorithm to improve the execution time and decision. So, the solutions of the optimal control and fast state as well as the maximization of net present value of dam operations are obtained. An illustrative practical study demonstrated that sedimentation management is economically favourable for volume of confined water and total amount in remaining storage and effectiveness of the propounded approach. | ||
| کلیدواژه‌ها | ||
| Optimal control؛ Singularly perturbed differential equation؛ Reservoir sedimentation؛ Collocation method؛ Imperialist competitive algorithm | ||
| مراجع | ||
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[1] L. Alvarez-Vazquez, A. Mart ´ ´ınez, C. Rodr´ıguez, and M. Vazquez-M ´ endez ´ , Sediment minimization in canals: An optimal control approach, Math. Comput. Simul., 149 (2018), pp. 109–122.
[2] G. B. Arfken, Mathematical Methods for Physicists, Academic Press, third ed., 1985.
[3] E. Atashpaz-Gargari and C. Lucas, Imperialist competitive algorithm: An algorithm for optimization inspired by imperialistic competition, in 2007 IEEE Congress on Evolutionary Computation, 2007, pp. 4661– 4667.
[4] C. C. Carriaga and L. W. Mays, Optimal control approach for sedimentation control in alluvial rivers, J. Water Resour. Plan. Manag, 121 (1995), pp. 408–417.
[5] J. C. Deming Lei, Yue Yuan and D. Bai, An imperialist competitive algorithm with memory for distributed unrelated parallel machines scheduling, Int. J. Prod. Res., 58 (2020), pp. 597–614.
[6] Y. Ding, M. Elgohry, M. S. Altinakar, and S. S. Wang, Optimal control of flow and sediment in river and watershed, in Proceedings of 2013 IAHR Congress, Tsinghua University Press, Chengdu, China, vol. 813, 2013.
[7] Y. Ding and S. S. Wang, Optimal control of flood water with sediment transport in alluvial channel, Sepa[1]ration and Purification Technology, 84 (2012), pp. 85–94.
[8] M. A. A. Dossary and H. Nasrabadi, Well placement optimization using imperialist competitive algorithm, J. Pet. Sci. Eng., 147 (2016), pp. 237–248.
[9] A. Ebrahimzadeh and R. Khanduzi, A directed tabu search method for solving controlled Volterra integral equations, Math. Sci. (Springer), 10 (2016), pp. 115–122.
[10] R. Huffaker and R. Hotchkiss, Economic dynamics of reservoir sedimentation management: Optimal control with singularly perturbed equations of motion, J. Econ. Dyn. Control., 30 (2006), pp. 2553–2575.
[11] A. Kaveh and S. Talatahari, Optimum design of skeletal structures using imperialist competitive algorithm, Computers & Structures, 88 (2010), pp. 1220–1229.
[12] A. Khalilnejad, A. Sundararajan, and A. I. Sarwat, Optimal design of hybrid wind/photovoltaic electrolyzer for maximum hydrogen production using imperialist competitive algorithm, J. Mod. Power Syst. Clean Energy, 6 (2018), pp. 40–49.
[13] D. H. Lehmer, A new approach to Bernoulli polynomials, Amer. Math. Monthly, 95 (1988), pp. 905–911.
[14] K. Maleknejad and A. Ebrahimzadeh, An efficient hybrid pseudo-spectral method for solving optimal control of Volterra integral systems, Math. Commun., 19 (2014), pp. 417–435.
[15] S. Nazari-Shirkouhi, H. Eivazy, R. Ghodsi, K. Rezaie, and E. Atashpaz-Gargari, Solving the integrated product mix-outsourcing problem using the imperialist competitive algorithm, Expert Syst. Appl., 37 (2010), pp. 7615–7626.
[16] J. W. Nicklow and J. A. Bringer, Optimal Control of Sedimentation in Multi-Reservoir River Systems Using Genetic Algorithms, pp. 1–10.
[17] J. W. Nicklow and M. K. Muleta, Watershed management technique to control sediment yield in agriculturally dominated areas, Water International, 26 (2001), pp. 435–443.
[18] A. Palmieri, F. Shah, and A. Dinar, Economics of reservoir sedimentation and sustainable management of dams, Journal of environmental management, 61 (2001), pp. 149–163.
[19] H. Shabani, B. Vahidi, and M. Ebrahimpour, A robust pid controller based on imperialist competitive algorithm for load-frequency control of power systems, ISA Transactions, 52 (2013), pp. 88–95.
[20] A. M. Spence and D. Starrett, Most Rapid Approach Paths in Accumulation Problems, International Economic Review, 16 (1975), pp. 388–403.
[21] E. Valizadegan, M. Bajestan, H. Mohammad, and H. Mohammad Vali Samani, Control of sedimen[1]tation in reservoirs by optimal operation of reservoir releases, Journal of Food, Agriculture and Environment, 7 (2009), pp. 759–763.
[22] J. Zhu, Q. Zeng, D. Guo, and Z. Liu, Optimal control of sedimentation in navigation channels, J. Hydraulic Eng., 125 (1999), pp. 750–759 | ||
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