论文标题
离散和连续$ p $ - 实用性位置问题中的内部权益
Intra-facility equity in discrete and continuous $p$-facility location problems
论文作者
论文摘要
我们考虑使用新形式的股权标准的设施位置问题。需求点在植物所在的地点上有偏好顺序。目的是找到设施的位置，以最大程度地限制需求点相对于分配给同一植物的其余需求点的嫉妒感。在定义了这个新的嫉妒标准和基于它的一般框架之后，我们提供了在离散和连续框架中对此方法进行建模的公式。用示例说明了这些问题，报告的计算测试显示了每种公式在几种实例上的潜力和限制。尽管本文主要集中于这一新的嫉妒概念的引言，建模和制定，但对所有提出的配方进行了一些改进，在某些情况下获得了更好的解决方案时间。
We consider facility location problems with a new form of equity criterion. Demand points have preference order on the sites where the plants can be located. The goal is to find the location of the facilities minimizing the envy felt by the demand points with respect to the rest of demand points allocated to the same plant. After defining this new envy criterion and the general framework based on it, we provide formulations that model this approach in both the discrete and the continuous framework. The problems are illustrated with examples and the computational tests reported show the potential and limits of each formulation on several types of instances. Although this article is mainly focused on the introduction, modelling and formulation of this new concept of envy, some improvements for all the formulations presented are developed, obtaining in some cases better solution times.
