New solutions to a recently proposed benchmark TEAM problem for Pareto optimisation are presented. In the benchmark, an air-cored solenoid of small size, which can be used, for example, for magnetic fluid hyperthermia, is considered. Two shape optimisations of the solenoid are proposed in the benchmark: synthesising a uniform magnetic field in a control region, considering also a sensitivity function (Problem 1) or synthesising a uniform magnetic field, simultaneously minimising the power losses (Problem 2). The benchmark is solved by means of three different nature-inspired algorithms and a genetic one, namely micro biogeography-inspired algorithm, wind-driven optimisation, and the cuckoo search, taking the genetic algorithm NSGA-II as a reference, because all these methods have proven to be effective in solving multi-objective optimisation problems.

中文翻译：

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磁性多目标优化的TEAM问题的改进解决方案

提出了针对Pareto优化的最近提出的基准TEAM问题的新解决方案。在基准测试中，考虑了一种小尺寸的空心螺线管，该螺线管可用于例如磁性流体高温治疗。在基准测试中提出了螺线管的两种形状优化方法：在控制区域中合成均匀磁场，同时考虑灵敏度函数（问题1）或合成均匀磁场，同时将功率损耗最小化（问题2）。通过三种不同的自然启发算法和一种遗传算法（即微观生物地理启发算法，风能优化和布谷鸟搜索）解决了基准问题，并以遗传算法NSGA-II为参考，