Stable modeling method for Payne-Whitham (PW) macroscopic traffic flow model

Abstract

The invention discloses a stable modeling method for a Payne-Whitham (PW) macroscopic traffic flow model. The method is used for solving the technical problem that the conventional PW macroscopic traffic flow model cannot directly handle a traffic jam problem. The invention adopts the technical scheme that: on the basis of the PW macroscopic traffic flow model, a relationship between the traffic jam problem and system stability is obtained by establishing a new traffic model, so the occurrence of traffic jam or other abnormal phenomena can be determined macroscopically from the angle of global stability, basic foundation is provided for traffic control and decision, and the method is directly applicable to handling of the traffic jam problem.

Description

technical field [0001] The invention relates to a modeling method, in particular to a stability modeling method of a PW macroscopic traffic flow model. Background technique [0002] In recent years, with the great increase in the number of various means of transportation, facilities, roads, and traffic management systems in many countries in the world have been difficult to adapt to this speed of development, especially in large and medium-sized cities with insufficient traffic infrastructure and traffic signal control. Inconsistency, lack of traffic guidance system, confusion of vehicle scheduling and management, awareness of traffic regulations of traffic participants and many other reasons lead to urban traffic congestion, which in turn leads to a series of social and economic problems such as traffic safety and environmental pollution. question. [0003] Because the traffic problem is a complex large-scale system problem, it involves the comprehensive control of urban t...

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Problems solved by technology

[0007] However, the above-mentioned PW traffic flow model cannot directly give the traffic congestion conditions, especially when various traffic parameters change, it cannot directly give the overall description of the traffic congestion problem, so that traffic system researchers cannot directly use

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