A Model for Allocating Interceptors from Overlapping Batteries: A Method of Dynamic Programming

1971 ◽  
Vol 19 (1) ◽  
pp. 182-193 ◽  
Author(s):  
G. E. Swinson ◽  
P. H. Randolph ◽  
B. J. Dunn ◽  
M. E. Walker ◽  
R. D. Williams
2019 ◽  
pp. 132-138 ◽  
Author(s):  
A. Tarasenko ◽  
I. Egorova

The method of dynamic programming has been considered, which is used in solving multiple problems in economics, on the example of using Bellman’s optimality principle for solving nonlinear programming problems. On a specific numerical example, the features of the solution have been shown in detail with all the calculations. The problem of optimal distribution of funds among enterprises for the expansion of production has been formulated, which would give the maximum total increase in output. The solution of the task has been presented in the case, when the number of enterprises is 3. It has been shown, that the Bellman optimality principle allows you solve applied problems of cost forecasting with obtaining the optimal solution-maximum profit at minimum costs.


2019 ◽  
Vol 136 ◽  
pp. 01005
Author(s):  
Wanshan Wang ◽  
Peihong Wang ◽  
Yihua Dong

Dynamic programming algorithm is the classic method in distribution of plant loads. The traditional calculation method of dynamic programming is easy to make the calculation take too long time. This paper proposes two modiefied methods of dynamic programming, namely, dynamic programming in progressive structure and dynamic programming in progressive step-size. What is more, these two methods are combined to a new hybrid method. And these three methods and conventional dynamic programming are applied to the distribution of thermal power plant load to verify. The results of modiefied methods contrast with the conventional method show the modiefied methods reduce the calculation time and alleviate the curse of dimensionality effectively, ensuring the accuracy of calculation.


2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Yong Long ◽  
Hongwei Wu ◽  
Ke Qiucheng Zhou

Under the environment of fuzzy factors including the return of market, performance of product, and the demanding level of market, we use the method of dynamic programming and establish the model of investment decision, in technology innovation project of enterprise, based on the dynamic programming. Analysis of the influence caused by the changes of fuzzy uncertainty factors to technological innovation project investment of enterprise.


2020 ◽  
Vol 10 (1) ◽  
pp. 86-95
Author(s):  
T.V. Sivakova ◽  
V.A. Sudakov

The peculiarity of innovative products requires taking into account a large number of criteria that should be aggregated into generalized ones and building a convolution tree with qualitative, quantitative and fuzzy rules. The paper proposes a methodology for the optimal partitioning of criteria scales into generalized gradations for using combined methods of multicriteria analysis of alternatives. The transition to fewer criteria leads to a signifi cant increase in the dimension of the scales of generalized criteria. Scales have to be converted to new scales with fewer gradations. To solve the problem of minimizing the information loss occurring when converting the scales picked Bellman function and applied method of dynamic programming. Computational experiments have shown the effectiveness of the proposed approach.


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