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A new decomposition algorithm for multistage stochastic programs with endogenous uncertainties

机译:具有内生不确定性的多阶段随机程序的新分解算法

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摘要

In this paper, we present a new decomposition algorithm for solving large-scale multistage stochastic programs (MSSPs) with endogenous uncertainties. Instead of dualizing all the initial non-anticipativity constraints (NACs) and removing all the conditional NACs to decompose the problem into scenario subproblems, the basic idea relies on keeping a subset of NACs as explicit constraints in the scenario group subproblems while dualizing or relaxing the rest of the NACs. It is proved that the algorithm provides a dual bound that is at least as tight as the standard approach. Numerical results for process network examples and oilfield development planning problem are presented to illustrate that the proposed decomposition approach yields significant improvement in the dual bound at the root node and reduction in the total computational expense for closing the gap.
机译:在本文中,我们提出了一种新的分解算法,用于求解具有内生不确定性的大规模多阶段随机程序(MSSP)。除了将所有初始非预期约束(NAC)双重化并删除所有有条件的NAC以便将问题分解为方案子问题外,基本思想还在于在方案组子问题中保留NAC的一个子集作为显式约束,同时对方案或子项进行双重化或放宽。其他NAC。事实证明,该算法提供的对偶边界至少与标准方法一样严格。给出了过程网络实例和油田开发计划问题的数值结果,以说明所提出的分解方法显着改善了根节点处的对偶边界,并减少了用于弥补差距的总计算量。

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