Fuzzy relational inequalities with addition–min composition have been proposed to model the data transmission mechanism in a BitTorrent-like peer-to-peer file-sharing system. In this paper, we consider a multiple objective optimization problem which allows system manager to consider three objectives (system congestion, cost, and penalty) simultaneously. A quadratic program is then proposed for finding its efficient solutions. Numerical examples are given to illustrate the procedures of the quadratic programming approach.

中文翻译：

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具有加法-最小模糊关系不等式的系统的多目标优化

已经提出了具有加法和最小值组成的模糊关系不等式，以在类似BitTorrent的对等文件共享系统中对数据传输机制进行建模。在本文中，我们考虑了一个多目标优化问题，该问题使系统管理员可以同时考虑三个目标（系统拥塞，成本和罚款）。然后提出二次程序以找到其有效的解决方案。数值例子说明了二次编程方法的过程。