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A Novel Algorithm of Stochastic Chance-Constrained Linear Programming and Its Application

机译:随机机会约束线性规划的新算法及其应用

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The computation problem is discussed for the stochastic chance-constrained linear programming, and a novel direct algorithm, that is, simplex algorithm based on stochastic simulation, is proposed. The considered programming problem in this paper is linear programming with chance constraints and random coefficients, andtherefore the stochastic simulation is an important implement of the proposed algorithm. By theoretical analysis, the theory basis of the proposed algorithm is obtained and, by numerical examples, the feasibility and validness of this algorithm are illustrated. The detailed algorithm procedure is given, which is easily converted into the executable codes of software tools. Then, we compare it with some algorithms to verify its superiority. Finally, a practical example is presented to show its practicability.
机译:讨论了随机机会约束线性规划的计算问题,提出了一种新颖的直接算法,即基于随机仿真的单纯形算法。本文所考虑的编程问题是具有机会约束和随机系数的线性规划,因此随机仿真是该算法的重要实现。通过理论分析,获得了该算法的理论基础,并通过数值算例说明了该算法的可行性和有效性。给出了详细的算法过程,可以轻松地将其转换为软件工具的可执行代码。然后,我们将其与一些算法进行比较以验证其优越性。最后,通过一个实例说明其实用性。

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