Continuous detour queries in spatial networks

We study the problem of finding the shortest route between two locations that includes a stopover of a given type. An example scenario of this problem is given as follows: "On the way to Bob's place, Alice searches for a nearby take-away Italian restaurant to buy a pizza. "Assuming that Alice is interested in minimizing the total trip distance, this scenario can be modeled as a query where the current Alice's location (start) and Bob's place (destination) function as query points. Based on these two query points, we find the minimum detour object (MDO), i.e., a stopover that minimizes the sum of the distances: 1) from the start to the stopover, and 2) from the stopover to the destination. In a realistic location-based application environment, a user can be indecisive about committing to a particular detour option. The user may wish to browse multiple (κ) MDOs before making a decision. Furthermore, when a user moves, the κMDO results at one location may become obsolete. We propose a method for continuous detour query (CDQ) processing based on incremental construction of a shortest path tree. We conducted experimental studies to compare the performance of our proposed method against two methods derived from existing k-nearest neighbor querying techniques using real road-network data sets. Experimental results show that our proposed method significantly outperforms the two competitive techniques. © 2012 IEEE.