Which problem is commonly used to model the challenge of visiting many places with minimal total travel distance?

Which problem is commonly used to model the challenge of visiting many places with minimal total travel distance?

• A. The Steiner Tree Problem
• B. Dead reckoning
• C. Desire paths
• D. Traveling salesman problem

Answer: (D)

Optimizing a route to visit many places with minimal total distance is captured by the traveling salesman problem. This problem asks for the shortest possible loop that visits each location exactly once and returns to the starting point, which matches the idea of seeing many places with the least travel effort. It’s a foundational model in route planning and logistics because it directly targets minimizing distance or cost across a sequence of stops. The Steiner Tree Problem, by contrast, focuses on connecting points with the minimal total network length, not on tracing a loop that visits each point in turn. Dead reckoning is a navigation method for estimating current position based on known starting points and movement, not an optimization task. Desire paths describe informal, real-world shortcuts people take, rather than a formal algorithmic route that visits all locations efficiently. So the traveling salesman problem best fits the scenario of visiting many places with minimal total distance.

Optimizing a route to visit many places with minimal total distance is captured by the traveling salesman problem. This problem asks for the shortest possible loop that visits each location exactly once and returns to the starting point, which matches the idea of seeing many places with the least travel effort. It’s a foundational model in route planning and logistics because it directly targets minimizing distance or cost across a sequence of stops.

The Steiner Tree Problem, by contrast, focuses on connecting points with the minimal total network length, not on tracing a loop that visits each point in turn. Dead reckoning is a navigation method for estimating current position based on known starting points and movement, not an optimization task. Desire paths describe informal, real-world shortcuts people take, rather than a formal algorithmic route that visits all locations efficiently.

So the traveling salesman problem best fits the scenario of visiting many places with minimal total distance.