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Route assignment, route choice, or traffic assignment concerns the selection of routes (alternatively called paths) between origins and destinations in transportation networks. It is the fourth step in the conventional transportation forecasting model, following trip generation , trip distribution , and mode choice .
Dana Tomlin implemented cost distance analysis in his Map Analysis Package by 1986, and Ronald Eastman added it to IDRISI by 1989, with a more efficient "pushbroom" cost accumulation algorithm. [8] Douglas (1994) further refined the accumulation algorithm, which is basically what is implemented in most current GIS software.
Screenshot of SORTA's OpenTripPlanner journey planning application with highlighted route by transit. A journey planner, trip planner, or route planner is a specialized search engine used to find an optimal means of travelling between two or more given locations, sometimes using more than one transport mode.
Solution of a travelling salesman problem: the black line shows the shortest possible loop that connects every red dot. In the theory of computational complexity, the travelling salesman problem (TSP) asks the following question: "Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns to the ...
Multiple destinations Yes Yes Yes Yes Yes, third-party [20] ... Map, satellite, terrain, 3D with plugin, 3D without plugin for compatible browsers, night mode
The Vehicle routing problem is a generalization of this, allowing for multiple simultaneous routes to reach the destinations. The Route inspection or "Chinese Postman" problem asks for the optimal (least distance/cost) path that traverses every edge; a common application is the routing of garbage trucks.
Even an efficient algorithm will need to compute many possible graphs. The reason is, that such a map would contain 6 million nodes overall and the possibilities to explore the geometrical space are exceedingly large. The first step for a hierarchical path planner is to divide the map into smaller sub-maps. Each cluster has a size of 300x200 nodes.
Shortest path (A, C, E, D, F) between vertices A and F in the weighted directed graph. In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized.