Exhibit 12-4
Consider a fast-food restaurant where customers arrive at a Poisson rate of 100 per hour. Four equally capable servers work at the restaurant during a typical hour of operation. Each employee takes, on average, 2 minutes to serve a customer, and service times are exponentially distributed. Customers who arrive and find all 4 servers busy join a single queue and are then served in first-come-first-served fashion.
-Refer to Exhibit 12-4.Use the M/M/s template to find the expected number of busy servers,and the expected fraction of time each server is busy

Question

Quizplus · Accepted Answer

The Answer of Exhibit 12-4
Consider a fast-food restaurant where customers arrive at a Poisson rate of 100 per hour. Four equally capable servers work at the restaurant during a typical hour of operation. Each employee takes, on average, 2 minutes to serve a customer, and service times are exponentially distributed. Customers who arrive and find all 4 servers busy join a single queue and are then served in first-come-first-served fashion.
-Refer to Exhibit 12-4.Use the M/M/s template to find the expected number of busy servers,and the expected fraction of time each server is busy

Exhibit 12-4 Consider a Fast-Food Restaurant Where Customers Arrive at a Poisson