stat340-Lecture1

# stat340-Lecture1 - BORDERWAITTIMES PROBLEM ,andfind...

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BORDER WAIT TIMES

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PROBLEM To investigate wait times when crossing a land  border going towards the United States, and find  the optimal number of lanes open to reduce the  wait times
ASSUMPTIONS Homogeneous spread – we assume the passenger  vehicles arrive uniformly over time  Independence – arrivals and departures are  independent from each other Individuality – no two events happen at the same  time The distribution of the departures is  Exp(mean=.5) One queue and multiple servers Each server has same service time Same number of lanes open throughout the day

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PLAN Start with arrival data for the Peace Bridge for  three weeks starting January 8 th , 2009, and  obtaining the number of arrivals per hour  between 7am to 8pm Plot a histogram to chose a valid distribution Validate the distribution for the arrival data by  using a Chi-Squared test Simulate the arrivals and departures to analyze  the waiting times
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## This note was uploaded on 11/16/2010 for the course STAT 340 taught by Professor Xu(sunny)wang during the Spring '09 term at Waterloo.

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stat340-Lecture1 - BORDERWAITTIMES PROBLEM ,andfind...

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