Exam 17: Waiting Lines

The manager of a car wash wants to know how fast his new crew is processing cars through the wash area.He notices that it takes cars an average of about 30 minutes in line to reach the car wash,and his spot checks during the day indicated an average of seven cars in line waiting to be washed.What was the processing rate for his new crew that day?

The distinction between an infinite customer population and a finite customer population is whether the:

India Sisson wants to grab a latte before heading to her marketing class,knowing that the jolt of a double tall mocha is the only thing that can possibly keep her eyes open during today's presentation on the four P's.The server is slower than molasses in January and India notes that the pace of the line won't permit her to grab her favorite seat in the back row of her class.She decides to risk marketing without a latte and leaves the line before getting served.India's behavior is BEST described as:

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:

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?

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

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?

The ________ distribution specifies the probability that n customers will arrive in T time periods.

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?

If the customer population of a service system generates customers according to a Poisson distribution,the exponential distribution describes the probability that the next customer will arrive in the next T time periods.

Scenario B.2 Weary travelers arrive at Will Rogers International Airport,pick up their luggage,stumble to their cars,and proceed to the parking lot attendant to pay for their parking.Traveler interarrival times are exponentially distributed,as are the service times of the attendant.On average,travelers arrive every 25 seconds.The attendant can process three travelers per minute,and processing rates follow a Poisson distribution. -Use the information in Scenario B.2.What is the average number of customers in line?

A bank that dedicates one window for commercial account customers and one window for personal account channel has two channels.

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?

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

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

Customers arrive according to a Poisson distribution.The average number of customer arrivals per hour is four.The probability that three customers will arrive in the next two hours is:

Scenario B.2 Weary travelers arrive at Will Rogers International Airport,pick up their luggage,stumble to their cars,and proceed to the parking lot attendant to pay for their parking.Traveler interarrival times are exponentially distributed,as are the service times of the attendant.On average,travelers arrive every 25 seconds.The attendant can process three travelers per minute,and processing rates follow a Poisson distribution. -Use the information in Scenario B.2.How many minutes per hour is the attendant not serving customers?

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 waiting time in line?

The single,multiple,and finite waiting line models all assume that the:

Which statement about queue structure is BEST?