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Queue Length

Queue Length. Before anything else. Read the manual carefully. It is your homework What is covered in the following slides is just general. General. Customer service analysis (restaurants) Toll booth Parking garage Intersections Poisson distribution. Data Collection.

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Queue Length

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  1. Queue Length

  2. Before anything else • Read the manual carefully. It is your homework • What is covered in the following slides is just general

  3. General • Customer service analysis (restaurants) • Toll booth • Parking garage • Intersections • Poisson distribution

  4. Data Collection • Choose your best junk food restaurant • Choose the busiest time they have • Study one hour

  5. Service rate data collection

  6. Queue length variation

  7. Data Summary

  8. Calculations q= arrival rate (veh/h) Q= service rate (veh/h) n= total number of vehicles, including served one Probability of exactly n vehicles in the system

  9. Calculations q= arrival rate (veh/h) Q= service rate (veh/h) n= total number of vehicles, including served one Average number of n vehicles in the system

  10. Calculations q= arrival rate (veh/h) Q= service rate (veh/h) n= total number of vehicles, including served one Average queue length

  11. Calculations q= arrival rate (veh/h) Q= service rate (veh/h) n= total number of vehicles, including served one Average waiting time in queue after arrival

  12. Calculations q= arrival rate (veh/h) Q= service rate (veh/h) n= total number of vehicles, including served one Average time a vehicle spends in the system including being served and waiting to be served

  13. Calculations q= arrival rate (veh/h) Q= service rate (veh/h) n= total number of vehicles, including served one Probability of a vehicle spending time, t hours, or less in the system

  14. Calculations q= arrival rate (veh/h) Q= service rate (veh/h) n= total number of vehicles, including served one Probability of a vehicle spending time, t, or less in the queue

  15. Calculations q= arrival rate (veh/h) Q= service rate (veh/h) n= total number of vehicles, including served one Probability of more than N vehicles being in the queue

  16. Interpret and conclude • Answer questions in manual • Prepare your presentation

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