Analysis of Optimal Route Algorithms Under Constraint Conditions

The shortest path problem is the problem of finding a path between two vertices (or nodes) such that the sum of the weights of its constituent edges is minimized. Clearly, the choice of shortest-path algorithm for a particular problem will involve complex tradeoffs between flexibility, scalability, performance, and implementation complexity. The comparison made by one developed provides a basis for evaluating these tradeoffs. It was found that although factoring in this optimization to larger degrees did lead to significant imperfections, a balanced level was located where not only were perfect or near-perfect paths were found, but they were also found in the shortest time.