Exam 13: Waiting Lines and Queuing Theory Models

Frequently in queuing problems, the number of arrivals per unit of time can be estimated by a probability distribution known as the Poisson distribution.

The customer who arrives at a bank, sees a long line, and leaves to return another time is

Balking customers are those who enter the queue but then become impatient and leave without completing the transaction.

What is meant by a single-phase system?

Limited calling populations are assumed for most queuing models.

A single automatic car wash with one bay and a service time that is normally distributed is what type of model?

Customers enter the waiting line at a cafeteria on a first-come, first-served basis. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is four per minute and the average service rate of a single server is seven per minute, what is the average number of customers waiting in line behind the person being served?

A transient state is the normal operating condition of the queuing system.

A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the same window. Arrivals follow a Poisson distribution, while service times follow an exponential distribution. What type of queuing model is exhibited in this problem?

A new shopping mall is considering setting up an information desk operated by two employees. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 20 per hour. It takes an average of 4 minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed. (a) Find the proportion of the time that the employees are busy. (b) Find the average number of people waiting in line to get some information. (c) Find the expected time a person spends just waiting in line to have his question answered.

Customers enter the waiting line at a cafeteria on a first-come, first-served basis. The arrival rate follows a Poisson distribution, while service times follow an exponential distribution. If the average number of arrivals is four per minute and the average service rate of a single server is seven per minute, what is the average number of customers in the system?

The three basic components of a queuing process are arrivals, service facilities, and the actual waiting line.

Which of the following distributions is most often used to estimate the arrival pattern?

The arrivals or inputs to the system are sometimes referred to as the calling population.

Cars arrive at a local JLUBE franchise at the rate of 1 every 12 minutes. Service times are exactly 15 minutes. Jack Burns, the JLUBE owner, has decided to open a second work bay, i.e., make the shop into a two-channel system. Under this new scheme, the average customer will wait in an ________ line

A(n) ________ state is the normal operating condition of the queuing system.

The three major characteristics of the input source that generates arrivals or customers for the service system are ________.

In queuing analysis, total expected cost is the sum of expected ________ plus expected ________.

Table 13-2 -According to the information provided in Table 13-2, which presents a queuing problem solution, on average, how many units are in the line?

Cars arrive at a local JLUBE franchise at the rate of 1 every 12 minutes. Service times are exponentially distributed with an average of 15 minutes. Jack Burns, the JLUBE owner, has decided to open a second work bay, i.e., make the shop into a two-channel system. Under this new scheme, the average customer will wait in line