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Personal Routes with High-Dimensional Costs and Dynamic Approximation Guarantees

机译:具有高维成本和动态逼近保证的个人路线

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摘要

In a personalized route planning query, a user can specify how relevant different criteria as travel time, gas consumption, scenicness, etc. are for his individual definition of an optimal route. Recently developed acceleration schemes for personalized route planning, which rely on preprocessing, achieve a significant speed-up over the Dijkstra baseline for a small number of criteria. But for more than five criteria, either the preprocessing becomes too complicated or the query answering is slow. In this paper, we first present a new LP-based preprocessing technique which allows to deal with many criteria efficiently. In addition, we show how to further reduce query times for all known personalized route planning acceleration schemes by considering approximate queries. We design a data structure which allows not only to have personalized costs but also individual approximation guarantees per query, allowing to trade solution quality against query time at the user's discretion. This data structure is the first to enable a speed-up of more than 100 for ten criteria while accepting only 0.01% increased costs.
机译:在个性化路线计划查询中,用户可以指定不同的标准(例如旅行时间,汽油消耗,风景等)如何与他对最佳路线的单独定义相关。最近开发的用于个性化路线规划的加速方案依赖于预处理,可在少数条件下大大提高Dijkstra基线的速度。但是对于五个以上的条件,要么预处理变得太复杂,要么查询响应很慢。在本文中,我们首先提出了一种新的基于LP的预处理技术,该技术可以有效地处理许多标准。此外,我们展示了如何通过考虑近似查询来进一步减少所有已知个性化路线规划加速方案的查询时间。我们设计了一种数据结构,该结构不仅允许具有个性化的成本,而且还允许每个查询分别提供近似的保证,从而允许用户根据自己的判断权衡解决方案质量和查询时间。该数据结构是第一个能够在十个条件下实现100倍以上的加速,同时仅接受0.01%的增加成本的结构。

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