Question

Visitors arrive at Kid’s World entertainment park according to an exponential interarrival time distribution with mean 2.5 minutes. The travel time from the entrance to the ticket window is normally distributed with a mean of 3 minutes and a standard deviation of 0.5 minute. At the ticket window, visitors wait in a single line until one of four cashiers is available to serve them. The time for the purchase of tickets is normally distributed with a mean of ﬁ ve minutes and a standard deviation of one minute. After purchasing tickets, the visitors go to their respective gates to enter the park. Create a simulation model of this system. Run the simulation model for 2,000 hours to determine:

a . The average and maximum lengths of the ticketing queue.

b . The average number of customers completing ticketing per hour.

c . The average and maximum numbers of customers in the ticketing system.

d . The average utilization of the cashiers.

e . Whether management should add more cashiers?

Answer #1

Visitors arrive at Kid’s World entertainment
park according to an exponential inter-arrival time distribution
with mean 2.5 minutes. The travel time from the entrance to the
ticket window is normally distributed with a mean of 3 minutes and
a standard deviation of 0.5 minute. At the ticket window, visitors
wait in a single line until one of four cashiers is available to
serve them. The time for the purchase of tickets is normally
distributed with a mean of ﬁve minutes...

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“feeding” all four packers. The packing time is TRIA (2.5, 3, 4.5).
Packed boxes are then separated by type (20%, international and 80%
domestic), and sent to shipping. There is a single shipper for
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The time between customer arrivals at a furniture store has an
approximate exponential distribution with mean θ = 9.9 minutes.
[Round to 4 decimal places where necessary.]
If a customer just arrived, find the probability that the next
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