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来源类型 | Article |
规范类型 | 其他 |
DOI | 10.1002/(SICI)1099-1514(199805/06)19:3<185::AID-OCA627>3.0.CO; 2-E |
Solution techniques for periodic control problems: A case study in production planning. | |
Maurer HJ; Bueskens C; Feichtinger G | |
发表日期 | 1998 |
出处 | Optimal Control Applications and Methods 19 (3): 185-203 |
出版年 | 1998 |
语种 | 英语 |
摘要 | Two numerical techniques for solving optimal periodic control problems with a free period are developed. The first method uses shooting techniques for solving an appropriate boundary value problem associated with the necessary conditions of the minimum principle. A convenient form of the transversality condition for the free period is incorporated. The second method is a direct optimization method that applies non-linear programming techniques to a discretized version of the control problem. Both numerical methods are illustrated in detail by a non-convex economic production planning problem. In this model, the p-test reveals that the steady-state operation is not optimal. The optimal periodic control is computed such that a complete set of necessary conditions is verified. The solution techniques are extended to obtain the optimal periodic control under various state constraints. A sensitivity analysis of the optimal solution is performed with respect to a specific parameter in the model. |
主题 | World Population (POP) |
关键词 | Periodic optimal control Boundary value problem Direct optimization method Production planning Sensitivity analysis |
URL | http://pure.iiasa.ac.at/id/eprint/5367/ |
来源智库 | International Institute for Applied Systems Analysis (Austria) |
引用统计 | |
资源类型 | 智库出版物 |
条目标识符 | http://119.78.100.153/handle/2XGU8XDN/127724 |
推荐引用方式 GB/T 7714 | Maurer HJ,Bueskens C,Feichtinger G. Solution techniques for periodic control problems: A case study in production planning.. 1998. |
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