Numerical recipes: the art of scientific computing
Numerical recipes: the art of scientific computing
Dynamic Programming
The role of dynamic programming & control structures in performance
APL '95 Proceedings of the international conference on Applied programming languages
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The basis of dynamic programming is described. It is a method for finding the best way to control a system when that system can be controlled by its inputs. As an example, the optimal (or best) control of an electromagnetic brake retarder is derived. In this example the current to the brake retarder is the input being controlled. APL is shown to be a convenient language for writing a dynamic programming algorithm. A set of APL subroutines is provided for solving two-dimensional problems with one input. Adept APL programmers may enjoy the challenge of generalizing this code to problems of arbitrary dimensions.