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Ant colony optimization for the traveling salesman problem

A fast implementation of ant colony optimization for solving the travelling salesman problem.

The solver is implemented in Python, fully written in NumPy, and accelerated using Numba.

Usage

python main.py [options]

Options:

  • --size, -n: Number of cities
  • --pheromone_influence: Exponent for pheromone strength
  • --heuristic_influence: Exponent for heuristic information
  • --evaporation_rate: Rate at which pheromone evaporates each iteration
  • --initial_pheromone_factor: Scaling factor for initial pheromone level
  • --ants: Number of ants per iteration
  • --iters: Number of optimization iterations
  • --seed: Random seed

Algorithm details

  1. Initialization

    • Compute the nearest-neighbor tour length.
    • Set all pheromone values to initial_pheromone_factor * num_cities / initial_length.
  2. Iteration loop

    • Each ant constructs a tour probabilistically, influenced by pheromone and heuristic matrices.
    • Compute the cost of each tour.
    • Update the global best tour if a better solution is found.
    • Evaporate existing pheromone by factor (1 - evaporation_rate).
    • Deposit pheromone along each ant's tour, proportional to 1 / tour_cost.
  3. Termination

    • Return the best tour and its cost.

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A fast implementation of ant colony optimization for solving the travelling salesman problem

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