Exam 12: Waiting Lines and Queuing Theory Models

Table 12-3 -According to the information provided in Table 12-3,which presents a queuing problem solution,on average,how long does each customer spend waiting in line?

An "infinite calling population" occurs when the likelihood of a new arrival depends upon the number of past arrivals.

Table 12-5 -According to the information provided in Table 12-5,which presents a queuing problem solution for a queuing problem with a constant service rate,on average,how many customers arrive per time period?

Sam the Vet is running a rabies vaccination clinic for dogs at the local grade school.Sam can vaccinate a dog every 3 minutes.It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of 1 dog every 6 minutes,according to a Poisson distribution.Also assume that Sam's vaccinating times are exponentially distributed.Sam would like to have each waiting dog placed in a holding pen.If Sam wants to be certain he has enough cages to accommodate all dogs at least 90 percent of the time,how many cages should he prepare?

The customer who arrives at a bank,enters a line,and decides to leave is

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

The wait time for a single-channel system is more than twice that for a two-channel system using two servers working at the same rate as the single server.

Using the information provided in Table 12-1 and counting each person being served and the people in line,on average,how many people would be in this system?

Limited calling populations are assumed for most queuing models.

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?

Table 12-4 -According to Table 12-4,which presents a queuing problem with a constant service rate,on average,how many minutes does a customer spend in the service facility?

Table 12-1 -According to the information provided in Table 12-1,what proportion of time is at least one server busy?

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.If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes,what is the average number of customers waiting in line behind the person being served?

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?

On a practical note-if we are using waiting line analysis to study cars passing through a single tollbooth,reneging is probably not an issue.

Which of the following is not true about arrivals?

At a local fast-food joint,cars arrive randomly at a rate of 12 every 30 minutes.The fast food joint takes an average of 2 minutes to serve each arrival.The utilization factor for this system is

An (M/D/1)queuing model is classified as probabilistic.

Consider a single-server queuing system with Poisson arrivals of 10 units per hour and a constant service time of 2 minutes per unit.How long will the customer waiting time be in seconds,on average?

What is meant by a single-phase system?