In this work, the shortest path (SP) Dijkstra algorithm is re-visited and modified so that the modified Dijkstra algorithm can perform the task of finding the shortest path (SP) with an added constraint on fuel consumption, which is assumed to be linearly related to the CO2 emissions. For ...
Bellman Ford's algorithm is used to find the shortest paths from the source vertex to all other vertices in a weighted graph. It depends on the following concept: Shortest path contains at mostn−1edges, because the shortest path couldn't have a cycle. ...
There are many variations of the TSP but, informally, the problem is to find the shortest path that visits every city in a given set of cities exactly once.If you look at Figure 1 you can see the SBC demo program uses a set of 20 cities that ar...
Spark’s implementation of the Breadth First Search algorithm finds the shortest path between two nodes by the number of relationships (i.e., hops) between them. You can explicitly name your target node or add criteria to be met. For example, we can use the bfs function to find the first...
We present several parallel algorithms for the problem of finding shortest paths from a specified vertex (called the source) to all others in a weighted directed graph. The algorithms are for machines ranging from array processors, multipleinstruction multiple-data stream machines to a special network...
Ant colony optimization methods (Dorigo and Stützle2004; Dorigo and Blum2005) are heuristic methods that have been used for combinatorial optimization problems. Conceptually, they mimic the behavior of ants to find shortest paths between their colony and food sources. Ants deposit pheromones as they...
the optimal weight and bias values. In most cases, evolutionary optimization algorithms are not well-suited for use on non-numerical combinatorial optimization problems such as the Traveling Salesman Problem, where the goal is to find the combination of cities with the shortest total path length. ...
The Traveling Salesman Problem (TSP) is one of the most widely studied problems in computer science research. There are many variations of the TSP but, informally, the problem is to find the shortest path that visits every city in a given set of cities exactly once. ...
In such a situation, one may wish to harness parallel computing to solve this problem. However, the parallel implementations of commonly used shortest-path algorithms are computationally demanding because of the inherent sequential nature of the search process used by the algorithms. This paper ...
The classic problem of finding the shortest path over a network has been the target of many research efforts over the years. These research efforts have resulted in a number of different algorithms and a considerable amount of empirical findings with respect to performance. Unfortunately, prior rese...