Final answer:
Dijkstra's algorithm, A* search, dynamic programming, and breadth-first search can be used to solve the shortest path problem from a start location to a location with an end tag.
Step-by-step explanation:
To solve the shortest path problem from a start location to a location with an end tag, you can use various algorithms.
a) Dijkstra's algorithm is a graph search algorithm that finds the shortest path in a graph with non-negative edge weights. It starts from the start location and explores the neighbors with the lowest cost until the end tag is reached.
b) A* search combines Dijkstra's algorithm with heuristics to guide the search towards the goal location. It uses an evaluation function that estimates the cost from the start location to the end tag.
c) Dynamic programming can also be applied to the shortest path problem. By storing the shortest paths from the start location to each intermediate location, you can compute the shortest path to the end tag efficiently.
d) Breadth-first search is another algorithm that can be used to find the shortest path. Starting from the start location, it explores all the neighbors before moving to the next level of nodes until the end tag is reached.