Exam 12: Waiting Lines and Queuing Theory Models

Customers enter the waiting line to pay for food as they leave 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,on average,how much time will elapse from the time a customer enters the line until he/she leaves the cafeteria?

A post office has a single line for customers waiting for the next available postal clerk.There are two postal clerks who work at the same rate.The arrival rate of customers follows a Poisson distribution,while the service time follows an exponential distribution.What type of queuing model applies here?

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

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

Which of the following is not a valid queuing model based on the Kendall notation?

On a practical note-if we are using waiting line analysis to study customers calling a telephone number for service,balking is probably not an issue.

The "utilization factor" is defined as the

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

In the multichannel model (M/M/m),we must assume that the average service time for all channels is the same.

One difficulty in waiting line analysis is that it is sometimes difficult to place a value on customer waiting time.

If everything else remains constant,including the mean arrival rate and service rate,except that the service time becomes constant instead of exponential,

On a practical note-we should probably view the checkout counters in a grocery store as a set of single channel systems.

Table 12-3 -According to the information provided in Table 12-3,which presents a queuing problem solution,what is the utilization rate of the service facility?

Table 12-4 -According to the information provided in Table 12-4,which presents a queuing problem solution for a queuing problem with a constant service rate,on average,how much time is spent waiting in line?

Using a simulation model allows one to ignore the common assumptions required to use analytical models.

What is meant by a multichannel queuing system?

According to the information provided in Table 12-1,what percentage of the total available service time is being used?

An M/M/2 model has Poisson arrivals exponential service times and two channels.

The term queue "discipline" describes the

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