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Route Planning Database of Charging Stations number of vertices. If there will be used binary heap in implementation of priority queue then the complexity will be as O(|E|·log2|N|), where E is number of edges so I decided to use binary heap to solve shortest path problem in our application. 6.5.1 Priority Queue Dijkstra using a Heap is one of the most powerful techniques. It essentially allows you to write a Breadth First search, and instead of using a Queue you use a Priority Queue and define a sorting function on the nodes such that the node with the lowest cost is at the top of the Priority Queue. This allows us to find the best path through a graph in O(m * log(n)) time where n is the number of vertices and m is the number of edges in the graph [Gladius]. The fundamental operations on a Heap are: Add - Inserts an element into the heap, putting the element into the correct ordered location. Pop - Pops the top element from the heap, the top element will either be the highest or lowest element, depending on implementation. Top - Returns the top element on the heap. Empty - Tests if the heap is empty or not. 6.6 Database of Charging Stations For speed performance and limitation of Google APIs there was created a database of charging stations and paths between them. If we consider actual state in Czech Republic, there are more than 65 charging stations (with charging power more than 20 kW). To count all paths between all stations then must be asked (652) − 65 = 4, 160 queries to Google’s servers but the daily limit is set up to 2,500 tasks. There could occur a question what happens if the count of charging stations is not 65 but 1,000. It would work anyway because the algorithm wouldn’t take into account all of them. This count depends on driving range and also it depends on the distribution of charging stations. If exists a large number of charging stations then there could be considered only stations with high-current charging power. The database is in JSON format and saved to the external storage on Android device. Following is shown the structure of JSON database: 27PDF Image | Driving Range Estimation and Trajectory Planning
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