Vehicles start arriving at the entrance of The Galeón at 06:3 am for Covid-19 vaccination; however, the multi-level parking space started collecting parking fees at 07:00 am. The deterministic arrival rate of vehicles is given as a function of time, a(t) = 18 - 0.3t On the other hand, the service rate which includes receiving the fee and giving back the change - was deterministically modeled as a function of time, H(t) = 3 + 0.74t Where time, minutes 2(t) H(t) arrival rate, vph = departure rate, vph Considering only one park attendant, determine: The time the queue will dissipate, Assuming a vehicle entered the system (started to queue up) at 07:02 am, how long did it a. b. take this to be served? c. The average delay in the system in vehicles per minute.
Vehicles start arriving at the entrance of The Galeón at 06:3 am for Covid-19 vaccination; however, the multi-level parking space started collecting parking fees at 07:00 am. The deterministic arrival rate of vehicles is given as a function of time, a(t) = 18 - 0.3t On the other hand, the service rate which includes receiving the fee and giving back the change - was deterministically modeled as a function of time, H(t) = 3 + 0.74t Where time, minutes 2(t) H(t) arrival rate, vph = departure rate, vph Considering only one park attendant, determine: The time the queue will dissipate, Assuming a vehicle entered the system (started to queue up) at 07:02 am, how long did it a. b. take this to be served? c. The average delay in the system in vehicles per minute.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Vehicles
for CoVid-19
arriving at
the multi-level parking space started collecting parking fees at 07:00
3.
start
the
entrance of The Galeón
at
06:3 am
vaccination; however,
am. The deterministic arrival rate of vehicles is given as a function of time,
a(t) = 18 – 0.3t
On the other hand, the service rate - which includes receiving the fee and giving back the
change - was deterministically modeled as a function of time,
u(t) = 3 + 0.74t
= time, minutes
arrival rate, vph
= departure rate, vph
Where
A(t)
u(t)
Considering only one park attendant, determine:
The time the queue will dissipate,
Assuming a vehicle entered the system (started to queue up) at 07:02 am, how long did it
take this to be served?
a.
b.
C.
The average delay in the system in vehicles per minute.
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