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(1) A fast-food franchise is considering opening a drive-in window food service operation. Customer arrival has a mean arrival rate of 48 cars per hour. Arriving customers place orders at an intercom station at the back of the parking lot and then drive up to the service window to pay for and receive their order. For simplicity, assume Poisson distribution for arrival and exponential distribution for service.
(2) A two-station operation with two service windows and two employees. Newly arriving customers join a single queue (single-line) which feeds both service windows. The employee stationed at each window fills the order and takes the money for customers arriving at that window. The average service time at each window for this alternative is 2 minutes.
(I) Compute the following operating characteristics for each alternative:
(a) Average number of cars waiting for service.
(b) Average number of cars in the system.
(c) Average time a car waits for service (in minutes).
(d) Average time in the system (in minutes).
I've calculated:
Arrival rate of 0.8 / Min
Service Rate of 2 Min
Traffic Intensity of .2
What formulas should I use to get a-d?
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