00802591

Component

https://doi.org/10.3141/1710-15

http://scholar.google.com...+Kim&publication_year=2000

The solutions of Riemann problems of a particular higher-order model - the Payne-Whitham (PW) model - are studied using Roe's flux splitting scheme as presented by Leo and Pretty. Despite numerous works on higher-order models, little is known about Riemann solutions of these models and how relaxation and anticipation affect these solutions. Riemann solutions of the PW model are computed and compared with those of the Lighthill-Whitham-Richards (LWR) model having the same initial (density) data. It was found that faster relaxation forces the PW model to behave much like the LWR model, that strong anticipation has a stabilizing effect on traffic, and that shock waves travel at different speeds in the PW model than they do in the LWR model. These findings provide a basic checklist for experimental validation of PW-like higher models.

This paper appears in Transportation Research Record No. 1710, Traffic Flow Theory and Highway Capacity 2000.

English

p. 131-135

2000

Transportation Research Record

0309066891

Figures (5) ; References (19) ; Tables (1)

Shock waves; Traffic flow; Traffic models

Anticipation (Models); Relaxation methods (Mathematics)

Highways; Operations and Traffic Management; I71: Traffic Theory

TRIS, TRB, ATRI

Nov 29 2000 12:00AM

• ANALYTICAL EXPRESSIONS OF INCIDENT-INDUCED FLOW DYNAMICS PERTURBATIONS: USING MACROSCOPIC THEORY AND EXTENSION OF LIGHTHILL-WHITHAM THEORY
• ANALYZING ARTERIAL STREETS IN NEAR-CAPACITY OR OVERFLOW CONDITIONS
• CAR-FOLLOWING AND COLLISION CONSTRAINT MODELS FOR UNINTERRUPTED TRAFFIC: REEXAMINATION USING HIGH-PRECISION GLOBAL POSITIONING SYSTEM DATA
• CHARACTERIZING AND MODELING OBSERVED LANE-CHANGING BEHAVIOR: LANE-VEHICLE-BASED MICROSCOPIC SIMULATION ON URBAN STREET NETWORK
• COMPARISON OF QUEUE-LENGTH MODELS AT SIGNALIZED INTERSECTIONS
• DELAY VARIABILITY AT SIGNALIZED INTERSECTIONS
• DETERMINATION OF CAPACITY AT ALL-WAY STOP-CONTROLLED INTERSECTIONS
• DEVELOPMENT OF DRIVER POPULATION FACTORS FOR CAPACITY ANALYSIS OF SIGNALIZED INTERSECTIONS
• ESTIMATION AND APPLICATION OF DYNAMIC SPEED-DENSITY RELATIONS BY USING TRANSFER FUNCTION MODELS
• EVALUATION OF CORSIM CAR-FOLLOWING MODEL BY USING GLOBAL POSITIONING SYSTEM FIELD DATA
• EXPERIMENTAL VERIFICATION OF TIME-DEPENDENT ACCUMULATION PREDICTIONS IN CONGESTED TRAFFIC
• FREEWAY FACILITY METHODOLOGY IN "HIGHWAY CAPACITY MANUAL" 2000
• GAS-KINETIC MODELING AND SIMULATION OF PEDESTRIAN FLOWS
• MODELING FOUR-DIRECTIONAL PEDESTRIAN FLOWS
• NEW INSIGHTS INTO FREEWAY CAPACITY AT WORK ZONES: EMPIRICAL CASE STUDY
• NEW MODEL FOR EVALUATION OF TRAFFIC OPERATIONS AT ELECTRONIC TOLL COLLECTION PLAZAS
• OBSERVATION-BASED LANE-VEHICLE ASSIGNMENT HIERARCHY: MICROSCOPIC SIMULATION ON URBAN STREET NETWORK
• PREDICTIVE TIME-BASED FEEDBACK CONTROL APPROACH FOR MANAGING FREEWAY INCIDENTS
• QUASI-VARIATIONAL INEQUALITY APPROACH TO MULTI-USER-CLASS DYNAMIC TRAFFIC ASSIGNMENT
• SIMULATION LABORATORY FOR EVALUATING DYNAMIC TRAFFIC MANAGEMENT SYSTEMS
• THEORY OF BREAKDOWN PHENOMENON AT HIGHWAY BOTTLENECKS
• USER ASSESSMENT OF INTERSECTION CHAPTER PROCEDURES IN "HIGHWAY CAPACITY MANUAL" 1997 UPDATE
• VALIDATION OF HIGH-FIDELITY TRAFFIC SIMULATION MODELS
• VALIDATION OF LEFT-TURN DELAY AT TWO-WAY STOP-CONTROLLED INTERSECTIONS
• VALIDATION RESULTS FOR FOUR MODELS OF OVERSATURATED FREEWAY FACILITIES
• VARIATIONS IN CAPACITY AT SIGNALIZED INTERSECTIONS WITH DIFFERENT AREA TYPES
• WEAVING AREA ANALYSIS IN YEAR 2000 "HIGHWAY CAPACITY MANUAL"