一种具有反向修正机制的复合优化贪心策略

Han Shen, Zhongsheng Wang
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摘要

摘要贪心策略是一种以局部优化为核心思想的算法思维,但只有在问题没有后效的情况下,才能实现全局优化。因此,贪婪策略并不是研究者解决问题的首选策略。在贪心策略的基础上,加入反向修正思维机制,将局部最优解转化为全局最优解,提出了一种整合反向修正思维的复合最优贪心策略。基于血液机器人运行成本的实际应用场景,根据应用需求,以贪婪策略为主要建模基础,构建并测试了整体的“简单贪婪策略模型”。在此基础上,深入分析了局部最优解之间的交互关系,并整合了反向修正机制,通过反向分配和反向合并修复两步对系统进行优化。逐步改进模型得到优化后的“反向修正贪婪策略模型”,该算法能有效降低运行成本。在此基础上,为了测试优化效果,通过修改应用场景的部分参数、随机生成多个阵列进行复测等方式验证反向修正机制的有效性和稳定性,并选择新的参数重新运行应用场景,获得了满意的验证结果。与同主题的其他建模思路相比,该模型弱化了对整体功能的表达,强调了数据之间的变化关系和作用机制,取得了较好的运行效果。贪婪策略非常有利于分析需求、约束和变量之间的关系。根据实际应用需要,结合数学分析方法,在贪心策略建模中加入反向修正机制。在100组模拟的需求序列测试中,最高储蓄率可接近1.6%,最低储蓄率小于0.6%,平均储蓄率为0.9677%。可为应用场景节省数万的运营成本。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Compound Optimization Greedy Strategy with Reverse Correction Mechanism
Abstract Greedy strategy is an algorithm thinking with local optimization as the core idea, but only when the problem has no after-effect, the global optimization can be achieved. Therefore, greedy strategy is not the first choice for researchers to solve the problem. Based on the greedy strategy, this paper adds the mechanism of reverse correction thinking, transfers the local optimal solution to the global optimal solution, and puts forward a compound optimal greedy strategy integrating reverse correction thinking. Based on the actual application scenario of blood robot operating costs, the overall “simple greedy strategy model” is constructed and tested based on the greedy strategy as the main modeling basis according to the application needs. On this basis, the interaction relationship between local optimal solutions is deeply analyzed, and the reverse correction mechanism is integrated to optimize the system through the two steps of reverse allocation and reverse merge repair. Gradually improve the model to get the optimized “reverse modified greedy strategy model”, the algorithm can effectively reduce the operating cost. On this basis, in order to test the optimization effect, the effectiveness and stability of the reverse correction mechanism were verified by modifying some parameters of the application scene and randomly generating multiple arrays for re-test, etc., and new parameters were selected to re-run the application scene, and satisfactory verification results were obtained. Compared with other modeling ideas of the same topic, this model weakens the expression of the overall function and emphasizes the change relationship and action mechanism between data, and obtains better operation results. Greedy strategy is very conducive to the analysis of the relationship between requirements, constraints and variables. According to the actual application needs, combined with the mathematical analysis method, the reverse correction mechanism is added to the greedy strategy modeling. In the demand sequence test of 100 groups of simulation, the maximum saving rate can be close to 1.6%, while the lowest saving rate is less than 0.6%, and the average saving rate is 0.9677%. It can save tens of thousands of operating costs for application scenarios.
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