ParticleSwarmTopology.VonNeumann Property

public static ParticleSwarmTopology VonNeumann { get; }

Public Shared ReadOnly Property VonNeumann As ParticleSwarmTopology
	Get

public:
static property ParticleSwarmTopology VonNeumann {
	ParticleSwarmTopology get ();
}

static member VonNeumann : ParticleSwarmTopology with get

Property Value

In the Von Neumann topology, particles are arranged in a grid, and each particle is influenced by its immediate neighbors to the north, south, east, and west. This creates a structured neighborhood that promotes localized interaction among particles.

The Von Neumann topology balances exploration and exploitation by maintaining a moderate level of connectivity among particles. It allows particles to explore the search space more effectively than the global topology while still converging faster than the ring topology.

This topology is particularly useful in multimodal optimization problems where maintaining diversity is important, but some level of rapid convergence is also desired. However, it may not be as effective in highly complex search spaces where more random or dynamic topologies might be beneficial.

Reference