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Particle Swarm Optimisation

A swarm of tour-particles updates each epoch. Each particle's velocity is a list of city-swap moves built from three components: ω keeps momentum from the previous epoch, C₁ pulls toward the particle's own personal best, and C₂ pulls toward the global best. Inertia ω decays over time, shifting the swarm from exploration toward exploitation.

01234567891011
Particles
02472
dist 2472
11810
gbest
21887
dist 1887
32306
dist 2306
42384
dist 2384
52327
dist 2327
● gbest tour● best particle● swarm● city
Press Step or Run to begin
ω (inertia) = 0.900
High — broad exploration
epoch
0
gbest dist
1810.4
avg dist
2198
v_max
5 swaps
Balanced swarm size
cities: 12particles: 6ω: 0.4→0.9C₁=C₂=1.5v_max: 5