Transportation Indices: Alpha, Beta, and Gamma
Transportation indices are quantitative measures used in the analysis of transportation networks, especially in urban and regional planning. These indices provide insights into the connectivity, efficiency, and structure of transport networks such as roadways, railways, or pedestrian paths. Among them, the Alpha (α), Beta (β), and Gamma (γ) indices are widely recognized topological indicators derived from graph theory. Alpha Index (α) – Network Connectivity The Alpha index measures the degree of circuit or loop formation in a transportation network. In essence, it reflects how well a network is interconnected through alternative routes . A higher Alpha index indicates a more complex and efficient network where multiple paths exist between two points. Formula: Where: e = number of edges (links) v = number of vertices (nodes/intersections) The denominator represents the maximum number of possible circuits in a planar network. Interpretation: Range: 0 (no connectiv...