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Planning Your Route: Where to Start?
Lahari Sengupta1, Radu Mariescu-Istodor1, Pasi Fränti1
1Machine Learning, School of Computing, University of Eastern Finland, Joensuu, Finland.
Choosing the right starting point for a tour significantly impacts its total length. This study compares strategies for open-loop Traveling Salesman Problems (TSP), finding optimal start locations can reduce tour length.
Area of Science:
- Computational geometry
- Operations research
- Human-computer interaction
Background:
- Tour planning is crucial for location-based services, often modeled as Traveling Salesman Problems (TSP) or Vehicle Routing Problems (VRP).
- Optimizing tour length is a primary objective, but the choice of starting location can significantly affect the outcome, especially in open-loop scenarios.
Purpose of the Study:
- To investigate and compare different strategies for selecting the optimal starting location in an open-loop TSP.
- To evaluate the impact of starting location choice on overall tour length optimization.
Main Methods:
- Analysis of three distinct strategies for selecting a starting location for open-loop TSP.
- Comparison of strategy effectiveness in minimizing tour length under varying visibility conditions (full visibility vs. bounding box).
Main Results:
- Human intuition for selecting starting points (convex hull, furthest point) is analyzed.
- Strategies for limited visibility (bounding box) suggest starting from a corner or shorter side of the box.
- A suboptimal starting location choice can increase tour length by up to 20%.
Conclusions:
- The selection of the starting location is a critical factor in optimizing tour length for open-loop TSP.
- Understanding visibility constraints is key to developing effective starting location strategies.
- Implementing optimized starting point selection can lead to substantial tour length reductions.
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