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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.

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Summary
This summary is machine-generated.

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.

Keywords:
Human performanceLocation-based gameO-MopsiOrienteeringTSPTour optimizationTour planning

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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.