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System and method for determining an optimum or near optimum solution to a problem

机译:用于确定问题的最佳解决方案或接近最佳解决方案的系统和方法

摘要

A method and system for returning an optimum (or near-optimum) solution to a nonlinear programming problem. By specifying a precision coefficient, the user can influence the flexibility of the returned solution. A population of possible solutions is initialized based on input parameters defining the problem. The input parameters may include a minimum progress and a maximum number of iterations having less the minimum progress. The solutions are mapped into a search space that converts a constrained problem into an unconstrained problem. Through multiple iterations, a subset of solutions is selected from the population of solutions, and variation operators are applied to the subset of solutions so that a new population of solutions is initialized and then mapped. If a predetermined number of iterations has been reached, that is if the precision coefficient has been satisfied, the substantially optimum solution is selected from the new population of solutions. The system and method can be used to solve various types of real-world problems in the fields of engineering and operations research.
机译:一种用于将最优(或接近最优)解返回到非线性规划问题的方法和系统。通过指定精度系数,用户可以影响返回解决方案的灵活性。根据定义问题的输入参数,初始化大量可能的解决方案。输入参数可以包括最小进度和具有较少最小进度的最大迭代次数。解决方案被映射到一个搜索空间中,该空间将约束问题转换为非约束问题。通过多次迭代,从整体解决方案中选择解决方案的子集,并将变异算子应用于解决方案的子集,以便初始化并映射新的整体解决方案。如果已经达到预定的迭代次数,即如果已经满足精度系数,则从新的解决方案总体中选择基本最佳的解决方案。该系统和方法可用于解决工程和运筹学领域中的各种类型的现实问题。

著录项

  • 公开/公告号US2001051936A1

    专利类型

  • 公开/公告日2001-12-13

    原文格式PDF

  • 申请/专利权人 MICHALEWICZ ZBIGNIEW;

    申请/专利号US20010837194

  • 发明设计人 ZBIGNIEW MICHALEWICZ;

    申请日2001-04-19

  • 分类号G06N5/02;G06F17/00;

  • 国家 US

  • 入库时间 2022-08-22 00:52:00

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