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(civl362)[2008](f)Quiz-Solution5~PPSpider^_10078

# (civl362)[2008](f)Quiz-Solution5~PPSpider^_10078 - 9:12...

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CIVL 362 Transportation System Operations Tutorial Quiz 5 (Suggested Solution) Name: Student ID: Week 7, 15 Oct 2008 1. Prior to bank service operation, people begin to arrive at the Bank of China (BOC) branch at HKUST at the rate of 20 prs/ hr, starting at 8:30. The bank starts service at 09:00 and serves 30 customers per hour. Assume that operational characteristics are in the D/D/1 queuing regime to answer following questions: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 8:30 8:35 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 9:40 9:45 9:50 9:55 10:00 10:05 Cumulative Count Cumulative Arrival Cumulative Departure Waiting Time Queue Length (a) Plot and label the arrival and service functions on the graph above.
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Unformatted text preview: 9:12 9:28 (b) What is the total delay? Total Delay = Area between curves = ½ (30 min)(30 person) = 450 person-min (c) At what time will the queue dissipate? 10:00 a.m. Suppose you arrive at the bank at 09:12. (d) How long is the queue at this point? 8 (= Cum. Arrival – Cum. Departure = λ * 42 -μ∗12 = 14 − 6 = 8) (e) How long will you have to wait before being served? 16 min (at this moment, 8 people are in front of you. Since serving 1 person requires 1/ μ = 2 min, so, you need to wait for 8*2 = 16 min) (f) How many people will have been served by 10:00? 30 (= Cum Departure)- End of Paper -...
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