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# Traffic Systems Design CE 474

UI

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This 17 page Class Notes was uploaded by Savanna Cruickshank on Friday October 23, 2015. The Class Notes belongs to CE 474 at University of Idaho taught by Michael Dixon in Fall. Since its upload, it has received 59 views. For similar materials see /class/227772/ce-474-university-of-idaho in Civil Engineering at University of Idaho.

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Date Created: 10/23/15

CE474 Traffic Systems DesignFall 2004 J Class 4 Traffic Flow Theory at Signalized intersections September lst 2004 Ahmed AbdelRahim Civil Engineering Department University of Idaho CE475 Traffic Systems DesignFall 2004 Assignment A103 Document and assess the extent of a vaiabe resources 7 Therpurpose of this assignment is to review assess and document the resources that are available to support your design project Each student is assignment one of the resources that is available on the class web site For the document resource that has been assigned to you 1 review the document and the information that is included 2 prepare a one to two paragraph summary of the purpose and intent of the document in your own words and 3 prepare an outline of the major sections of the document including a one to two sentence summary of each of these sections This assignment is due at the beginning of class on Tuesday September 7th An electronic copy of this assignment must be emailed to me by 500 pm on September 7th Q CE475 Traffic Systems DesignFall 2004 Also Due by the Iab on September 7th 6 CORSIM working file for your intersection oActuaI volume Actual geometry oActuaI signal phasing CE475 Traffic Systems DesignFall 2004 KN Student Resource Kebab Mohammad Wassim Reed James Evan Arellano Lisa Jo Idaho Transportation Department Traffic Manual available on ITD CDROM Luo Min CandiaMartinez Mario Pakalapati Srinivas Raju Traffic Engineering Handbook available as handout Wu Lei Carter Steven Neil Aeneni Shravan Kumar Traffic Control Systems Handbook available on FHWADOT CDROM McLenna Patrick Michael Gangula Sreenath Reddy Baden Andrew Christopher NIA39I I39 Webbased Signal Design Tutorial Orton Brent Lee Auch Alisha Fern Manual of Uniform Traffic Control Devices MUTCD Carter Steven Neil Palmer Charles Ray Design Guidelines for Deplovinq Closed Loon Systems CE475 Traffic Systems DesignFall 2004 Microscopic Flow Characteristics Time Headway Classification Random Headway State Negative ExponentialPoisson count Distribution Constant Headway State Normal Distribution Intermediate Headway State Pearson type II Gamma Enlarg Negative Exponential shifted Negative Exponential CE475 Traffic Systems DesignFall 2004 Qonstant Headway StateNormal Distribution Mean time headway h 3600V Normal distribution with mean u and standard deviation 8 95 con dence interval in the range it i 2s Minimum headway CL LL ZS or t ZS Then sh 0L2 CE475 Traffic Systems DesignFall 2004 Constant Headway StateNormal Distribution Normal Distribution To get the probability P As X lt B 2 B A From the table using the value ZS CE475 Traffic Systems DesignFall 2004 Constant Headway StateNormal Distribution 7 Example V 2000 Vph t 36002000 18 seconds Assuming a minimum headway of 08 seconds standard deviation S 18 082 05 To obtain the probability P 10 S h lt t Z18 10 08 Zs 08 05 16 From the Table P 10 S h lt18 0445 445 of the headway between the mean headway 18 seconds and 10 second CE475 Traffic Systems DesignFall 2004 Intermediate Headway State Generalized Mathematical Model Approach Composite Model Approach iii Other Approaches CE475 Traffic Systems DesignFall 2004 6 Intermediate Headway State Composite Model Approach Random Constant Total Headway Probability Frequency Probability Frequency Probability Frequency 12 23 1920 gt20 CE475 Traffic Systems DesignFall 2004 Queuing Theory Introduction Application Analyze Facilities that have kwon Demand arrival and Supply service Examples Highway Applications Intersections Bottlenecks Incidents Toll Plazas merge areas etc Ports Shipping and Packaging facilities Bank Tellers Grocery Checkout Airport etc and Many other Applications CE475 Traffic Systems DesignFall 2004 Queuing Theory Introduction What Should we know Arrival Distribution Service Distribution Queuing Theory is either Deterministic Both Arrival and Service Distributions are Deterministic Stochastic Random arrivals and departures CE475 Traffic Systems DesignFall 2004 Queuing Theory Equations De nitions 7 Arrival Rate it Service Rate pku C Number of Service Channels M Random ArrivaUService rate Poisson D Deterministic Service Rate Constant rate CE475 Traffic Systems DesignFall 2004 Queuing Theory Equations MDI case random Arrival Deterministic service and one service channel Expected average queue length Em 29 92 2 1 p Expected average total time Ev 2 92 u 1 9 Expected average waiting time Ew 92 u 1 p CE475 Traffic Systems DesignFall 2004 Queuing Theory Equations MMI case Random Arrival Random Service and one service channel The probability of having zero vehicles in the systems PO 1 p The probability of having 11 vehicles in the systems Pn pn PO Expected average queue length Em p2 1 p Expected average total time Ev p 7x 1 p Expected average waiting time EW Ev 1 u CE475 Traffic Systems DesignFall 2004 Deterministic queuing theory DD1 case T Vehicles Arr Queue forming and dissipation Arrivals during green r q I I I I I I I I I I I Queue at the vals during red I quotd Ofred qr39 r Saturation I ow rate I s I I Departures 39 Time Queue service time 95 L Green time 9 7 V Red time r CE475 Traffic Systems DesignFall 2004 Queue Forming Polygon 39639 Vehicles Vehicles in Queue in Queue Arrvals during red Arr vals during red I l Time Time Permissive 39 I Red time lperiodl lProtected peTod Queue service time 95 Red time r L Green time 9 J r w rquot Queue Forming Polygon Permissive Protected Left Turn CE475 Traffic Systems DesignFall 2004

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