One of the most important applications of optimization is vehicle routing in

One of the most important applications of

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greedy algorithm. One of the most important applications of optimization is vehicle routing, in which the goal is to find the best routes for a fleet of vehicles visiting a set of locations. Usually, "best" means routes with the least total distance or cost.A heuristic algorithm used to quickly solve this problem is the nearest neighbor (NN) algorithm (also known as the Greedy Algorithm). Starting from a randomly chosen node, the algorithm finds the closest node. The remaining nodes are analyzed again, and the closest node is found. These are the steps of the NN algorithm: 1. Start at a random vertex 2. Determine the shortest distance connecting the current vertex and an unvisited vertex V 3. Make the current vertex the unvisited vertex V 4. Make V visited 5. Record the distance traveled 6. Terminate if no other unvisited vertices remain 7. Repeat step 2. This algorithm is heuristic in that it does not take into account the possibility of better steps being excluded due to the selection process. For n nodes, the NN algorithm creates a path that is approximately 25% longer than the most optimal solution.
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  • Fall '17
  • Tahir Iqbal
  • Travelling salesman problem, Vehicle routing problem, Frane Saric

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