Exam 11: Waiting Line Models

If service time follows an exponential probability distribution, approximately 63% of the service times are less than the mean service time.

What queue discipline is assumed by the waiting line models presented in the textbook?

For all waiting lines, P₀ + P_w = 1.

Little's flow equations indicate that the relationship of L to L_q is the same as that of W to W_q.

Waiting line models describe the transient-period operating characteristics of a waiting line.

The arrival rate in queuing formulas is expressed as

A waiting line situation where every customer waits in the same line before being served by the same server is called a single server waiting line.

For an M/M/1 queuing system, if the service rate, µ, is doubled, the average wait in the system, W, is cut in half.

In developing the total cost for a waiting line, waiting cost takes into consideration both the time spent waiting in line and the time spent being served.

For a single-channel waiting line, the utilization factor is the probability that an arriving unit must wait for service.

For many waiting line situations, the arrivals occur randomly and independently of other arrivals and it has been found that a good description of the arrival pattern is provided by

Adding more channels always improves the operating characteristics of the waiting line and reduces the waiting cost.

Queue discipline refers to the assumption that a customer has the patience to remain in a slow moving queue.