2008/09/30 by A. K. Nandi, Apurba K. Nandi, K. Bhattacharya +2 · 10 citations
Engineering · Mathematics · Physics and Astronomy · #Combinatorics #Complex Network Analysis Techniques #Computer science #Economics #Engineering #Environmental science #Kilometer #Mathematical optimization #Mathematics #Microeconomics #Opinion Dynamics and Social Influence #Physics #Scale (ratio) #Statistics #Stochastic processes and statistical mechanics #Topology (electrical circuits) #Total cost #Traffic network #Transport engineering #Value (mathematics) #Zipf's law #physics.soc-ph
paper · pdf · doi:10.1016/j.physa.2009.05.017
published in Physica A Statistical Mechanics and its Applications 388(17), 3651-3656 (Elsevier BV) · 5 pages, 4 figures
openalex publication_date 2009/05/20 · arxiv created 2009/06/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The optimal solution of an inter-city passenger transport network has been studied using Zipf's law for the city populations and the Gravity law describing the fluxes of inter-city passenger traffic. Assuming a fixed value for the cost of transport per person per kilometer we observe that while the total traffic cost decreases, the total wiring cost increases with the density of links. As a result the total cost to maintain the traffic distribution is optimal at a certain link density which vanishes on increasing the network size. At a finite link density the network is scale-free. Using this model the air-route network of India has been generated and an one-to-one comparison of the nodal degree values with the real network has been made.