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Applications of Maximum Entropy Principle in Formulating Solution of Constrained Non-Linear Programming Problem

机译:最大熵原理在约束非线性规划问题求解中的应用

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The maximum entropy principle finds its applications in a variety of disciplines related with Operations Research. The use of the principle can be extended to obtain the solution of a mathematical programming problem. In the present communication, an algorithm has been developed for solving constrained non-linear programming problem through the equivalent surrogate problem. In the solution process of so formed surrogate problem, the surrogate multipliers need to be updated and therefore, maximum entropy formulation has been used for the update of the multipliers. For the implementation and well understanding of the algorithm, an example has been discussed which confirms that entropy based updates for the surrogate multipliers lead to a fast and accurate solution to the problem.
机译:最大熵原理在运筹学相关的各种学科中都有应用。可以扩展该原理的使用以获得数学编程问题的解决方案。在当前的通信中,已经开发了一种用于通过等效代理问题来解决约束非线性规划问题的算法。在如此形成的替代问题的求解过程中,需要对替代乘数进行更新,因此,已使用最大熵公式来更新乘数。为了实现和很好地理解该算法,已讨论了一个示例,该示例确认代理替代器的基于熵的更新可导致问题的快速准确解决。

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