=========================preview======================
(civl362)[2008](f)Quiz-Solution5~PPSpider^_10078.pdf
Back to CIVL362 Login to download
======================================================
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:





(a)
Plot and label the arrival and service functions on the graph above.


(b)
What is the total delay?

Total Delay = Area between curves = . (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 C Cum. Departure = *42 -.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/ = 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)



Queue Length

Waiting Time

9:12

9:28

Cumulative
Departure

Cumulative
Arrival