非线性多环管路网络系统的链路遗传求解

Linked Route and Genetic Algorithm for an Unlinear Multicircuit Pipeline Network System

  • 摘要: 通过对一组规模随网络环路规模呈指数增长的非线性方程组的求解,实现对非线性多环管路网络系统的仿真、评估和优化。以模式理论为基础,使用遗传算法求解非线性方程与方程组,可利用其呈指数增长的求解能力进行求解。能够在一阶空间和时间复杂度内求解方程组的数值解,同时能够在可行的时间内解决网络结构优化问题。求解过程和结果能够验证模式理论的正确性。

     

    Abstract: The simulation, evaluation and optimization of an unlinear multicircuit pipeline system can be realized by solving an unlinear equation set whose scale grows exponentially with the scale of the network. With the exponential growth solving capacity of the genetic algorithm based on the schema theorem, application of the algorithm can give results of equation set in O(n) . The genetic algorithm can also solve the problem of network architecture optimization within feasible time. The process and result proved the validity of the schema theorem.

     

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