Question

An average of 90 cars per hour arrive at a single-server toll booth. The average service time for each customer is a half minute, and both interarrival times and service times are exponential. For each of the following questions, show your work, including the formula that you are using.

1) On average, how many cars per hour will be served by the server

Answer 1

The assumptions in single-server queue theory include: -

Unlimited calling population may enter the queue

Arrivals are random and independent but average number of arrival does not change.

Single waiting line and arriving customers are patient customers who can wait in the queue before they can be served regardless of the length of the line.

Arrivals are served on FIFO basis

Service time of one customer may vary from that of another customer.

Single server and service time is as per the negative exponential probability distribution.

Average service rate is greater than average arrival rate.

Ta = 90 cars/her - х 60 иш они О'5 views : 120 сахь /Ая Shower