Customers arrive at drive-thru window at the local fast food place at an average rate of 12 per hour, following a Poisson distribution. The server at the window can service an average of 3 cars every 12 minutes with service times described by an exponential distribution. If a second lane is added where the server can process 4 cars every 15 minutes, calculate the following:
A) average utilization for one server and two servers
B) average time a customer spends in line waiting to enter the drive-thru bay for one server and two servers
C) average number of customers waiting in line for one server and two servers
D) Which system is better?

Question

Quizplus · Accepted Answer

The Answer of Customers arrive at drive-thru window at the local fast food place at an average rate of 12 per hour, following a Poisson distribution. The server at the window can service an average of 3 cars every 12 minutes with service times described by an exponential distribution. If a second lane is added where the server can process 4 cars every 15 minutes, calculate the following:
A) average utilization for one server and two servers
B) average time a customer spends in line waiting to enter the drive-thru bay for one server and two servers
C) average number of customers waiting in line for one server and two servers
D) Which system is better?

Customers Arrive at Drive-Thru Window at the Local Fast Food