Question 1

Determine the number of customers that left the buffer.

Accepted Answer

A) 21.53 
B) 60.33 
C) 0.95 
D) 38.80 
A) 21.53 
B) 60.33 
C) 0.95 
D) 38.80

Question 2

Balking is the process of customers switching lines if they perceive another to be moving faster.

Accepted Answer

A) True 
 B)False

Question 3

Use the case given below to answer the following question(s).
Reuben went to a diner to have a hamburger and French fries.The person at the cash counter assigned the number 27 to Reuben and told him he would have to wait for his turn.
-Which of the following,if true,would suggest that Reuben jockeyed?

Accepted Answer

A) He moved to the next counter when he realized it had fewer people. 
B) He left the diner and decided to eat somewhere else. 
C) He exchanged his turn with an old gentleman after him who had been assigned the waiting number 28. 
D) He tried to exchange his turn with a lady who would be serviced ahead of him,citing a personal emergency. 
A) He moved to the next counter when he realized it had fewer people. 
B) He left the diner and decided to eat somewhere else. 
C) He exchanged his turn with an old gentleman after him who had been assigned the waiting number 28. 
D) He tried to exchange his turn with a lady who would be serviced ahead of him,citing a personal emergency.

Question 4

If the average arrival rate increases to 14,the probability that the system contains at least one customer is ________.

Accepted Answer

A) 0.66 
B) 0.34 
C) 0.03 
D) 0.97 
A) 0.66 
B) 0.34 
C) 0.03 
D) 0.97

Question 5

Use the scenario given below to answer the following question.
Consider the flow process map given below.Assume that orders enter the system with a time between arrivals that is exponentially distributed with a mean of 0.8 minutes.The processing time at work station 1 is exponential with a mean of 0.50 minutes,and at work station 2,it is exponential with a mean of 1 minute.The queue for work station 1 has a capacity of 6,while the queue for work station 2 has a capacity of 4.
Run the simulations for 30 replications of a 24-hour.  
-The fraction time blocked for work station 1 is ________.

Accepted Answer

A) 0.00 minutes 
B) 0.97 minutes 
C) 0.42 minutes 
D) 0.49 minutes 
A) 0.00 minutes 
B) 0.97 minutes 
C) 0.42 minutes 
D) 0.49 minutes

Question 6

Determine the probability that the system is empty.

Accepted Answer

A) 0.47 
B) 0.53 
C) 0.95 
D) 0.05 
A) 0.47 
B) 0.53 
C) 0.95 
D) 0.05

Question 7

The formula that is used to determine the average waiting time in the queue (Wq)is ________.

Accepted Answer

A)    =   
B)    =   
C)    =   
D)    =   
A)    =   
B)    =   
C)    =   
D)    =

Question 8

Which of the following is an example of a deterministic arrival?

Accepted Answer

A) patients arriving at appointed times to a medical facility 
B) people visiting the emergency room 
C) tweets transmitted during a live event 
D) people visiting a supermarket for their monthly groceries 
A) patients arriving at appointed times to a medical facility 
B) people visiting the emergency room 
C) tweets transmitted during a live event 
D) people visiting a supermarket for their monthly groceries

Question 9

What is the expected number of customers in service?

Accepted Answer

A) 0.47 
B) 0.95 
C) 0.53 
D) 0.05 
A) 0.47 
B) 0.95 
C) 0.53 
D) 0.05

Question 10

Lot size is ________.

Accepted Answer

A) the inventory level that triggers an order 
B) the number of units ordered 
C) also known as the mean inventory level 
D) the inventory remaining at the end of the simulation 
A) the inventory level that triggers an order 
B) the number of units ordered 
C) also known as the mean inventory level 
D) the inventory remaining at the end of the simulation

Question 11

If the number of customers in the system is 10,the number of customers in the queue is 9,and the arrival rate is 2 customers per minute,determine the average customer service rate.

Accepted Answer

A) 2 customers per minute 
B) 1 customer per minute 
C) 1.25 customers per minute 
D) 1.5 customers per minute 
A) 2 customers per minute 
B) 1 customer per minute 
C) 1.25 customers per minute 
D) 1.5 customers per minute

Question 12

Use the scenario given below to answer the following question(s).
You arrive at a queue and spend 10 minutes in the system (waiting plus service).During this time,customers arrive at the rate of 15 per minute.The mean service rate is 20 per minute.
-Assuming Little's law,calculate the number of customers that remain in the queue when you leave the system.

Accepted Answer

A) approximately 149 customers 
B) approximately 140 customers 
C) approximately 145 customers 
D) approximately 143 customers 
A) approximately 149 customers 
B) approximately 140 customers 
C) approximately 145 customers 
D) approximately 143 customers

Question 13

When the arrival pattern is described by a Poisson process,a mean arrival time of λ implies that the mean interarrival time,t,is ________.

Accepted Answer

A) 1/λ 
B) 1 + λ 
C) 1 - λ 
D) also λ 
A) 1/λ 
B) 1 + λ 
C) 1 - λ 
D) also λ

Question 14

Use the data given below to answer the following question(s).
Customers arrive at an airline ticket counter at the rate of three customers per minute and can be served at the rate of 4 customers per minute.
-What is the probability that the system contains at least one customer?

Accepted Answer

From the given data,λ = 3 cust

Question 15

Use the data given below to answer the following question(s).
Customers arrive at an airline ticket counter at the rate of three customers per minute and can be served at the rate of 4 customers per minute.
-Show the steps required to calculate the average number of customers in the system.

Accepted Answer

From the given data,λ = 3 cust

Question 16

If the number of customers in a queue is 8,the arrival rate is 2 customers per minute,and the customer service rate is 4 customers per minute,what is the average number of customers in the system?

Accepted Answer

A) 10 customers 
B) 12 customers 
C) 8.5 customers 
D) 10.5 customers 
A) 10 customers 
B) 12 customers 
C) 8.5 customers 
D) 10.5 customers

Question 17

Use the scenario given below to answer the following question.
Consider the flow process map given below.Assume that orders enter the system with a time between arrivals that is exponentially distributed with a mean of 0.8 minutes.The processing time at work station 1 is exponential with a mean of 0.50 minutes,and at work station 2,it is exponential with a mean of 1 minute.The queue for work station 1 has a capacity of 6,while the queue for work station 2 has a capacity of 4.
Run the simulations for 30 replications of a 24-hour.  
-The fraction time working for work station 2 is ________.

Accepted Answer

A) 0.00 minutes 
B) 0.97 minutes 
C) 0.42 minutes 
D) 0.49 minutes 
A) 0.00 minutes 
B) 0.97 minutes 
C) 0.42 minutes 
D) 0.49 minutes

Question 18

What is the probability that the system contains at least one customer?

Accepted Answer

A) 0.25 
B) 0.55 
C) 0.75 
D) 0.45 
A) 0.25 
B) 0.55 
C) 0.75 
D) 0.45

Question 19

What is the average time a customer has to spend in the system?

Accepted Answer

A) 20 seconds 
B) 60 seconds 
C) 24 seconds 
D) 30 seconds 
A) 20 seconds 
B) 60 seconds 
C) 24 seconds 
D) 30 seconds

Question 20

If the number of customers in a queue is 6,the number of customers in the system is 10,and the arrival rate is 2 customers per minute,the customer service rate is ________.

Accepted Answer

A) 0.75 customers per minute 
B) 1.75 customers per minute 
C) 2 customers per minute 
D) 0.5 customers per minute 
A) 0.75 customers per minute 
B) 1.75 customers per minute 
C) 2 customers per minute 
D) 0.5 customers per minute

Determine the number of customers that left the buffer.

Balking is the process of customers switching lines if they perceive another to be moving faster.

If the average arrival rate increases to 14,the probability that the system contains at least one customer is ________.

Determine the probability that the system is empty.

The formula that is used to determine the average waiting time in the queue (W_q)is ________.

Which of the following is an example of a deterministic arrival?

What is the expected number of customers in service?

Lot size is ________.

If the number of customers in the system is 10,the number of customers in the queue is 9,and the arrival rate is 2 customers per minute,determine the average customer service rate.

When the arrival pattern is described by a Poisson process,a mean arrival time of λ implies that the mean interarrival time,t,is ________.

Use the data given below to answer the following question(s). Customers arrive at an airline ticket counter at the rate of three customers per minute and can be served at the rate of 4 customers per minute. -What is the probability that the system contains at least one customer?

Use the data given below to answer the following question(s). Customers arrive at an airline ticket counter at the rate of three customers per minute and can be served at the rate of 4 customers per minute. -Show the steps required to calculate the average number of customers in the system.

If the number of customers in a queue is 8,the arrival rate is 2 customers per minute,and the customer service rate is 4 customers per minute,what is the average number of customers in the system?

What is the probability that the system contains at least one customer?

What is the average time a customer has to spend in the system?

If the number of customers in a queue is 6,the number of customers in the system is 10,and the arrival rate is 2 customers per minute,the customer service rate is ________.

Data and Business Decisions

Descriptive Statistics and Data Analysis

Probability Concepts and Distributions

Sampling and Estimation

Hypothesis Testing and Statistical Inference

Regression Analysis

Forecasting

Introduction to Statistical Quality Control

Building and Using Decision Models

Decision Models With Uncertainty and Risk

Decisions, uncertainty, and Risk

Linear Optimization

Integer, nonlinear, and Advanced Optimization Methods

Filters

Exam 12: Queues and Process Simulation Modeling

Determine the number of customers that left the buffer.

Balking is the process of customers switching lines if they perceive another to be moving faster.

If the average arrival rate increases to 14,the probability that the system contains at least one customer is ________.

Determine the probability that the system is empty.

The formula that is used to determine the average waiting time in the queue (Wq)is ________.

Which of the following is an example of a deterministic arrival?

What is the expected number of customers in service?

Lot size is ________.

If the number of customers in the system is 10,the number of customers in the queue is 9,and the arrival rate is 2 customers per minute,determine the average customer service rate.

When the arrival pattern is described by a Poisson process,a mean arrival time of λ implies that the mean interarrival time,t,is ________.

Use the data given below to answer the following question(s). Customers arrive at an airline ticket counter at the rate of three customers per minute and can be served at the rate of 4 customers per minute. -What is the probability that the system contains at least one customer?

Use the data given below to answer the following question(s). Customers arrive at an airline ticket counter at the rate of three customers per minute and can be served at the rate of 4 customers per minute. -Show the steps required to calculate the average number of customers in the system.

If the number of customers in a queue is 8,the arrival rate is 2 customers per minute,and the customer service rate is 4 customers per minute,what is the average number of customers in the system?

What is the probability that the system contains at least one customer?

What is the average time a customer has to spend in the system?

If the number of customers in a queue is 6,the number of customers in the system is 10,and the arrival rate is 2 customers per minute,the customer service rate is ________.

Data and Business Decisions

Descriptive Statistics and Data Analysis

Probability Concepts and Distributions

Sampling and Estimation

Hypothesis Testing and Statistical Inference

Regression Analysis

Forecasting

Introduction to Statistical Quality Control

Building and Using Decision Models

Decision Models With Uncertainty and Risk

Decisions, uncertainty, and Risk

Linear Optimization

Integer, nonlinear, and Advanced Optimization Methods

Filters

The formula that is used to determine the average waiting time in the queue (W_q)is ________.