Exam 13: Queuing Analysis

The most important factors to consider in analyzing a queuing system are queuing discipline, arrival and service rate, and the nature of the calling population.

The arrival rate is most frequently described by a negative exponential distribution.

Queue discipline describes customers' behavior in the queue.

Calling populations are always finite.

In a single-server queuing system, if 10 customers arrive per hour, and 20 customers are served per hour, what is the probability that there are no customers in the system?

Queuing discipline refers to

A hotel is considering changing its waiting line system. In the current system, hotel guests divide themselves equally between the lines that form in front of 4 hotel clerks. The manager is considering having hotel guests wait in one line and then proceed to the next available clerk. If average service time is 10 minutes and the average number of arrivals per hour is 12 guests, determine which system results in the lowest customer waiting time.

A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the negative exponential distribution. -The expected number of customers in the waiting line is:

The ________ is the source of the customers or objects being simulated.

In a factory, machines breakdown at an average of 6 machines per hour according to a Poisson distribution. The time a repair person takes to repair the machine is not defined by any probability distribution, but has a mean of 8 minutes and a standard deviation of 3 minutes. -On average, how many machines are waiting in line to be fixed?

As customers move through a processing center line they first wait in the reception room, then they fill in some personal information on a tablet PC once one becomes available. Finally, they head to another waiting area before submitting a sample. This queuing system is ________.

In a factory, machines breakdown at an average of 6 machines per hour according to a Poisson distribution. The time a repair person takes to repair the machine is not defined by any probability distribution, but has a mean of 8 minutes and a standard deviation of 3 minutes. -What is the probability that no machine is being fixed?

Lenny, a graduate research assistant, "moonlights" at the short order counter in the student union snack bar in the evenings. He is the only one on duty at the counter during the hours he works. Arrivals to the counter seem to follow the Poisson distribution with a mean of 8 per hour. Each customer is served one at a time and the service time follows an exponential distribution with a mean of 5 minutes. -How long will a student wait in line, on average?

What is not considered a measure of system performance in a queuing analysis?

In a finite queue, the length of the queue is

At Joe's Pool Hall they rent tables by the hour and also rent Balabushka pool cues for purists that can't afford their own. The rental process for these cues is exhaustive and takes an hour and a half for each application. There are three leasing agents that conduct these interviews, and on average, it is one hour between customer arrivals. -How many customers are either waiting or being served on average?

A multiple-channel queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 4 customers per hour and an average service time of 18 minutes per customer. What is the minimum number of servers required to avoid an overloaded system?

A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the negative exponential distribution. -The average time a customer can expect to wait in line is:

As the level of service improves, the cost of service decreases.

The local grocery store consists of two cashiers. The customers arrive at the checkout according to the Poisson distribution and the service times are based on negative exponential distribution. The average customer service time is 4 minutes and the average time between the arrivals of successive customers is 3 minutes. Assume that customers equally divide themselves between the two cashiers. -On average, how much time will the customer spend in line waiting to be served?