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यातायात प्रवाह (LWR मॉडल)×हार्डी क्रॉस विधि×
क्षेत्रसिविल इंजीनियरिंगसिविल इंजीनियरिंग
परिवारProcess / pipelineProcess / pipeline
उद्भव वर्ष19551936
प्रवर्तकM. J. Lighthill and G. B. WhithamHardy Cross
प्रकारMacroscopic traffic flow modeling using conservation lawsIterative method for pipe network flow distribution
मौलिक स्रोतLighthill, M. J., & Whitham, G. B. (1955). On kinematic waves I. Flow movement in long rivers. Proceedings of the Royal Society A, 229(1178), 281-316. DOI ↗Cross, H. (1936). Analysis of flow in networks of conduits or conductors. University of Illinois Bulletin, 34(17), 3-29. link ↗
उपनामLWR model, Traffic wave, Kinematic wave theoryCross method, Moment distribution method, Iterative balancing
संबंधित33
सारांशThe Lighthill-Whitham-Richards (LWR) model is a macroscopic traffic flow model that treats traffic as a compressible fluid, applying conservation of vehicles and a flow-density relationship. Introduced independently by Lighthill and Whitham (1955) and Richards (1956), the model predicts traffic wave propagation, congestion formation, and bottleneck behavior on highways.The Hardy Cross method is an iterative technique for solving steady-state flow distribution in pipe networks, originally developed for water distribution systems. Introduced by Hardy Cross in 1936, this method balances flow continuity and pressure head constraints through successive iterations, making it ideal for hand calculations and gaining physical insight into network behavior.
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