Maximal reverse skyline query
Farnoush Banaei‐Kashani, Parisa Ghaemi, John P. Wilson · 2014
Given a set S of sites and a set O of objects in a metric space, the Optimal Location (OL) problem is about computing a location in the space where introducing a new site (e.g., a retail store) maximizes the number of the objects (e.g., customers) that would choose the new site as their "preferred" site among all sites. However, the existing solutions for the optimal location problem assume that there is only one criterion to determine the preferred site for each object (i.e., the metric distance between objects and sites), whereas with numerous real-world applications multiple criteria are used as preference measures. In this paper, for the first time we develop an efficient and exact solution for the so-called Multi-Criteria Optimal Location (MCOL) problem that can scale with large datasets. Toward that end, first we formalize the MCOL problem as maximal reverse skyline query (MaxRSKY). Given a set of sites and a set of objects in a d-dimensional space, MaxRSKY query returns a location in the space where if a new site s is introduced, the size of the (bichromatic) reverse skyline set of s is maximal. To the best of our knowledge, this paper is the first to define and study MaxRSKY query. Accordingly, we propose a baseline solution for identification of the optimal location.