公路网上效用驱动的工作选择问题

Mayank Singhal, Suman Banerjee
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摘要

在本文中,我们研究了道路网络上\textsc{效用驱动的工作选择}问题,其输入是:一个以顶点为兴趣点集(以下称为POI)的道路网络,边缘是连接POI的道路段,一组具有原始POI,开始时间,持续时间和效用的作业。如果一个工人完成了这项工作,他就可以获得与这项工作相关的效用。由于作业源自不同的POI,工人必须从一个POI移动到另一个POI才能完成作业。为此目的可以得到一些预算。任何两份工作,只要第一份工作的完成时间加上从第一份工作地点到第二份工作地点的旅行时间小于或等于第二份工作的开始时间,工人就可以担任。我们称这种约束为时间约束。此问题的目标是选择工作的一个子集,以最大化获得的效用,从而不违反预算和时间约束。我们提出了两种解决方案,并进行了详细的分析。第一种方法是在每个工作结束时找到局部最优的工作,我们称这种方法为\emph{最佳优先搜索方法}。另一种方法是基于路网上的最近邻搜索。我们用真实的\mbox{-}世界轨迹数据集进行了一组实验,以证明所提出的解决方案的效率和有效性。我们观察到,与基线方法相比,所提出的方法更实用。
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Utility Driven Job Selection Problem on Road Networks
In this paper, we study the problem of \textsc{Utility Driven Job Selection} on Road Networks for which the inputs are: a road network with the vertices as the set of Point-Of-Interests (Henceforth mentioned as POI) and the edges are road segments joining the POIs, a set of jobs with their originating POI, starting time, duration, and the utility. A worker can earn the utility associated with the job if (s)he performs this. As the jobs are originating at different POIs, the worker has to move from one POI to the other one to take up the job. Some budget is available for this purpose. Any two jobs can be taken up by the worker only if the finishing time of the first job plus traveling time from the POI of the first job to the second one should be less than or equal to the starting time of the second job. We call this constraint as the temporal constraint. The goal of this problem is to choose a subset of the jobs to maximize the earned utility such that the budget and temporal constraints should not be violated. We present two solution approaches with detailed analysis. First one of them works based on finding the locally optimal job at the end of every job and we call this approach as the \emph{Best First Search Approach}. The other approach is based on the Nearest Neighbor Search on road networks. We perform a set of experiments with real\mbox{-}world trajectory datasets to demonstrate the efficiency and effectiveness of the proposed solution approaches. We observe that the proposed approaches lead to more utility compared to baseline methods.
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