Exam 18: Waiting Line

The mean of the Poisson distribution is equal to its standard deviation.

Scenario B.3 Customers arrive at a bank for service,forming a single line to wait for the first available of three tellers.They arrive at the rate of 45 per hour and are served by the first available teller,who can service customers at a rate of 20 per hour,following a Poisson distribution.Customer arrival times are governed by the exponential distribution. -Use the information in Scenario B.3.What is the average time a customer spends in the system?

Which of the following is LEAST likely to benefit from waiting line analysis?

The standard assumption in the single-server model is that customers are served according to the earliest due date,i.e. ,which customer needs to be finished first.

The average lead time of a unit of product through a manufacturing station is 18 minutes.The average work-in-process inventory at this station has been 30 pieces.What is the production rate?

Long lines always mean long waiting times.

A ________ is a single step in the service process.

Scenario B.4 Customers arrive at an airline 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 B.4.What is the average time spent in the system?

An automatic,drive-through car wash is an example of a:

Customers arrive every three minutes governed by a Poisson distribution.A single server is capable of handling twenty-five customers per hour and this service time is exponentially distributed.What is the percentage of the server's six-hour shift is one customer receiving service while and two are waiting in line?

The calling population in a queuing problem must go to the server,that is servers do not go to the calling population.

Ed Deadbeat races to the Bursar's Office on the first day of class and notes that the line is four students long.Ed figures that the wait will be at least ten minutes and,having better uses of his time,he decides to proceed to the next item on his to-do list.Ed's behavior is best described as:

Scenario B.5 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 B.5.What is the average utilization of the mechanic?

A harvesting firm has six combines,each requiring service at an average rate of once every 40 hours,according to an exponential distribution.The firm has a mechanic who needs four hours to complete the average repair with exponential service times. a.What is the average utilization of the mechanic? b.What is the average number of combines in the system? c.What is the average number of combines in line? d.What is the average time spent being repaired and waiting? e.What is the average time spent in line waiting for repair?

Scenario B.3 Customers arrive at a bank for service,forming a single line to wait for the first available of three tellers.They arrive at the rate of 45 per hour and are served by the first available teller,who can service customers at a rate of 20 per hour,following a Poisson distribution.Customer arrival times are governed by the exponential distribution. -Use the information in Scenario B.3.What is the average utilization of the three bank tellers?

A drive thru car wash can process cars at a rate of one every five minutes.The manager notices that during one particular day it takes cars an average of about 30 minutes in line to reach the car wash.What was the average number of cars in line on that day?

With a single-server model,increasing the arrival rate by 10 percent and also increasing the service rate by 10 percent will result in:

Scenario B.3 Customers arrive at a bank for service,forming a single line to wait for the first available of three tellers.They arrive at the rate of 45 per hour and are served by the first available teller,who can service customers at a rate of 20 per hour,following a Poisson distribution.Customer arrival times are governed by the exponential distribution. -Use the information in Scenario B.3.What is the average number of customers in line?

A(n)________ selects the next customer to be served at the service facility.

Customers arrive at the local grocery store at a steady rate of 40 an hour.Thirty percent of these customers purchase 10 items or less and go to the express line where they enjoy an average checkout time of 5 minutes.Customers that don't meet the express line criterion go to checkout line #2 where they spend an average of 10 minutes checking out.How many people are checking out in line #2 on average?