. 2. We can solve this problem by making minor modifications to the BFS algorithm for shortest paths in unweighted graphs. and feasible duals correspond to the concept of a consistent heuristic for the A* algorithm for shortest paths. n (The Other applications, often studied in operations research, include plant and facility layout, robotics, transportation, and VLSI design.[4]. Dijkstra’s Shortest Path Algorithm in Java. Now, let’s jump into the algorithm: We’re taking a directed weighted graph as an input. {\displaystyle \sum _{i=1}^{n-1}f(e_{i,i+1}).} The shortest path problem can be defined for graphs whether undirected, directed, or mixed. Below is C++ implementation of above idea. {\displaystyle 1\leq i