1.) Vehicles arrive at an entrance to a recreational park. There is a single gate (at...

1.) Vehicles arrive at an entrance to a recreational park. There is a single gate (at which
all vehicles must stop), where a park attendant distributes a free brochure. The park
opens at 08:00 am, at which time vehicles begin to arrive at a rate of 480 veh/hr. after
20 minutes the arrival flow rate declines at 120 veh/hr, and it continues at that level
for the remainder of the day. If the time required to distribute the brochure is 15
seconds and assuming D/D/1 queue,
a. Determine the maximum length of queue that occurred.
b. How long did it take to dissipate the queue?
c. What is the average delay per vehicle?
Show all necessary solutions and diagram

2.) Consider the entrance to the recreational park described in the previous question.
However, assuming that the average arrival rate is 180 veh/hr and Poisson-distributed
(negative exponential times between arrivals) over the entire period from park opening
time, 08:00 am until closing at dusk. Compute
a. The average length of queue
b. Average waiting time in the queue
c. Average time spent in the system

PLEASE ANSWER ALL QUESTION

Solutions

Expert Solution

Ally Wells answered 6 months ago

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