Abstract
The optimal experimental methods of a multidimensional dynamic programming, a large-scale linear and a complex nonlinear system are presented, which achieve a great step forward in the field of systems science. And excellent results are obtained in the applications of complex water resource systems.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Qian Xuesen, Exploring a science and research of complex large scale system,Journal of Systems Science and Systems Engineering (in Chinese), 1995, 10(1): 1.
Loucks, D. P.,Water Resource System Planning and Analysis, New York: Prentice-Hall Inc., 1981, 35–47.
Cheng Jilin, Jin Zhaosen, Shen Jie et al., Optimal planning of irrigation district by applying simulating experiment of multiple elements,Journal of Hydraulic Engineering (in Chinese), 1993, (11): 40.
Cheng Jilin, Sun Xuehua, The simulating technique, the orthogonal design, the analytic hierachy process and the optimal planning of the irrigation district,Journal of Hydraulic Engineering (in Chinese), 1990, (9): 36.
Cheng Jilin, Jin Zhaosen, Shen Jie et al., The optimal experimental method of a multidimensional dynamic programming,Journal of Systems Science and Systems Engineering, 1995, 4(3): 271.
Cheng Jilin, Jin Zhaosen, Shen Jie et al., A multidimensional model of dynamic programming for conveyance canal engineering,Journal of Hydraulic Engineering (in Chinese), 1998, (1): 72.
Cheng Jilin, Jin Zhaosen, A dynamic programming model of mixture system for conveyance canal engineering,Journal of Systems Science and Systems Engineering, 1993, 2(4): 346.
Cheng Jilin, Jin Zhaosen, Shen Jie et al., An optimal experimental method of the large scale linear system,Journal of Systems Science and Systems Engineering, 1997, 6(3): 286.
Cheng Jilin, Jin Zhaosen, Shen Jie et al., A linear model for optimal design of sprinker system,Journal of Hydraulic Engineering (in Chinese), 1997, (7): 60.
Cheng Jilin, Jin Zhaosen, Shen Jie et al., An experimental optimization method for the large scale nonlinear system,Journal of Systems Engineering (in Chinese), 1996, 11(3): 35.
Cheng Jilin, Liu Shengsong, Zhou Zhenhong, A solution of nonlinear model in conjunctive use of ground and surface water,Journal of Hydraulic Engineering (in Chinese), 1997, (10): 58.
Cooper, L., Cooper, M. W.,Introduction to Dynamic Programming, London: Pergamon Press, 1981, 197–207.
Ma Xiwen,The Mathematical Theory of Orthogonal Experiment (in Chinese), Beijing: People's Educational Publishing House, 1981, 10–21.
Zheng Quan, On complexity of linear programming problem,Chinese Journal of Operations Research (in Chinese), 1988, 7 (2): 1.
Yuan Hongyuan, A mathematical method in conjunctive use of ground and surface water,Journal of Wuhan University of Hydraulic & Electric Engineering (in Chinese), 1984, 22(4): 53.
Author information
Authors and Affiliations
Additional information
Project supported by the National Natural Science Foundation of China (Grant No. 79400011) and the 333 Engineering Foundation of Jiangsu Province of China.
Rights and permissions
About this article
Cite this article
Cheng, J., Guo, Y., Jin, Z. et al. Optimal experimental methods of the large-scale mathematical programming and applications. Sci. China Ser. E-Technol. Sci. 41, 465–470 (1998). https://doi.org/10.1007/BF02917020
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02917020