Question

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 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?

i hope someone can share it's ProModel file rather than only the solutions

Answer 1

ANSWER:

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

• The average and maximum lengths of the ticketing queue is 0.16 and max is 8 contents.

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

• The average number of customers completing ticketing per hour is 23.97.

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

• The average and maximum numbers of customers in the ticketing system average is 2.16 and Max is 12.

d . The average utilization of the cashiers:

• The average utilization of the cashiers value is 49.94%.

Due to insufficient time i ill not answer (d) .

please separate question , i will answer it .

thank you!