Discuss the long-term system stability of the gas-station

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Reference no: EM132765116

Question - Consider the following system: There is only one pump at a remote gas station. Assume that the customers arrive at the gas station according to a Poisson distribution with a mean of 12 per hour. The time it takes a customer to fill the tank is random, and an analysis of the service time has indicated that a time can be model with an exponential distribution with a mean of 3 minutes. Customers who arrive at the gas station are served in the order of arrival, and though space is available at the gas station to accommodate waiting customers. The gas station is open 24 hours a day.

a. Develop a simulation model for the above system in Arena.

b. Simulate the model for 30 days.

c. How much time a customer waits in line before being able to pump gas?

d. On average, how many customers wait in line? (Queue length)

e. What is the utilization of the gas pump?

f. If the mean of the number of customers arrive at the gas station increases to 15 per hour, rerun the simulation and calculate c), d), and e). Compare the results with the previous case (12 per hour rate).

g. If the mean numbers of customers arrive at the gas station increases to 20 per hour, discuss the long-term system stability of the gas-station.

Reference no: EM132765116

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