Arbel使用仿射比例演算法（affine scaling algorithm），發表一系列求解多目標規劃問題的內點演算法，例如以內點演算法為基礎，再加入交談式（interactive）的方法與決策者進行溝通，評估決策者的偏好（preference）等技巧。演算法可以在每一回合中，找到效用函數較高的有效解，最後漸漸逼近問題的最佳解。

內點演算法的好處是隨問題變大，演算時間相對之下比較不會大幅提高，所以內點演算法的求解所需時間對於問題的大小比較不敏感。本研究採納Arbel的想法，提出求解分式OES問題的內點演算法，希望藉由內點演算法的特性，能有效率地求解多目標分式規劃問題。

-Arbel using the Affine Scaling Algorithm (affine scaling algorithm), published a series of multi-objective programming problem to solve within a point algorithms, such as within the point-based algorithm, and then add interactive (interactive) methods and communication and decision makers to assess the preferences of decision makers (preference) and other techniques. Algorithm can in each round, the higher the utility function to find an effective solution, and finally approaching the optimal policy.

Interior point algorithm has the advantage with the bigger problem, calculations of time are less likely to significantly improve contrast, so the interior point algorithms, the time required for the size of the problem is less sensitive. This study adopted the idea of Arbel, proposed for solving the problem of the fractional point algorithms OES, hoping interior point algorithm characteristics, can efficiently solve multi-objective fractional programming problems.