Exam 22: Waiting Lines

Customers are serviced at a rate of three customers per hour according to an exponential distribution.What is the probability that customer service will require fewer than 10 minutes?

A single ticket taker can tear tickets and direct movie patrons to their seats at a rate of 90 per hour. Customers arrive every minute for assistance and always wait, regardless of how long the line gets. Arrivals are governed by the Poisson distribution and service is governed by the exponential distribution. -Use the information in Scenario C.1.What is the utilization of the ticket taker?

What is a finite-source model? Give an example of its appropriate use.

Customers are serviced at a rate of six customers per hour according to an exponential distribution.What is the probability that customer service will require fewer than 20 minutes?

The average lead time of a unit of product through a manufacturing station is 10 minutes.The production rate has been steady at five units per hour.The average work-in-process inventory at this station is

Customers arrive at a ticket counter at the rate of 50 customers per hour, according to a Poisson distribution. There are three ticket agents. Customers select the first available agent from one line. Each agent can process 20 customers per hour with exponential service times. -Use the information in Scenario C.4.What is the average utilization of the three-agent system?

Customers are serviced at a rate of 10 customers per hour according to an exponential distribution.What is the probability that customer service will require fewer than two minutes?

A phase represents a single step in providing a service.

Customers arrive at the one remaining full-service gas station in the country at the rate of 45 per minute and are served by the first available of three pump jockeys who can dole out gas and check oil at the rate of 20 customers per minute. Both service and interarrival times are governed by the exponential distribution. The probability that no pump jockey is busy is 0.0748. -Use the information in Scenario C.3.What is the average number of customers in the system?

Customers arrive at a ticket counter at the rate of 50 customers per hour, according to a Poisson distribution. There are three ticket agents. Customers select the first available agent from one line. Each agent can process 20 customers per hour with exponential service times. -Use the information in Scenario C.4.What is the average time spent in the system?

With a finite-source model,increasing the arrival rate by 10 percent and also increasing the service rate by 10 percent will result in

The production rate has been steady at 20 units per hour.The average work-in-process inventory at this station is 15 units.What is the average lead time through this manufacturing station?

A(n)________ is a single step in providing a service.

Your employer is considering a choice between a single-line and a multiple-line arrangement.The operation involves multiple servers and a single-phase service.When would each arrangement be ideal?

A trucking firm has five trucks that each requires service at an average rate of once every 50 hours, according to an exponential distribution. The firm has a mechanic who needs five hours to complete the average job with exponential service times. -Use the information in Scenario C.5.What is the average time a truck spends in the system?

Instead of having one worker perform all eight steps to process a customer,the erudite operations manager assigns each step to a different worker.In doing so,the operations manager has increased the

In the single-server model,

In the single-server model,

Customers arrive at the local grocery store every 30 seconds on average.Thirty percent of these customers spend an average of 15 minutes shopping and purchase 10 items or less.These lucky customers go to the express line where they enjoy an average checkout time of 5 minutes.Customers that don't meet the express line criterion average 40 minutes in the store and go to checkout line #2 where they spend an average of 10 minutes checking out.How many people are checking out at any given time?

The best example of a finite customer population is