Question 1

Customers arrive at a store randomly, following a Poisson distribution at an average rate of 90 per hour. How many customers arrive per minute, on average?

Accepted Answer

1.5 customers per minute

Question 2

The M/D/1 model results can be derived from which of the following systems?

Accepted Answer

A)  M/M/1 with F1F1F1S1F1F1F10 = 0 
B)  M/G/1 with F1F1F1S1F1F1F10 = 0 
C)  M/G/1 with F1F1F1S1F1F1F10 = 0 
D)  M/M/2 with finite queue length. 
A)  M/M/1 with F1F1F1S1F1F1F10 = 0 
B)  M/G/1 with F1F1F1S1F1F1F10 = 0 
C)  M/G/1 with F1F1F1S1F1F1F10 = 0 
D)  M/M/2 with finite queue length. C

Question 3

Which type of queuing system are you likely to encounter at a grocery store?

Accepted Answer

A)  Single waiting line, single service station. 
B)  Multiple waiting lines, single service station. 
C)  Single waiting line, multiple service stations. 
D)  Multiple waiting lines, multiple service stations. 
A)  Single waiting line, single service station. 
B)  Multiple waiting lines, single service station. 
C)  Single waiting line, multiple service stations. 
D)  Multiple waiting lines, multiple service stations. D

Question 4

Exhibit 13.4
The following questions refer to the information and output below.
A grocery store can serve an average of 360 customers per hour. The service times are exponentially distributed. The store has 4 checkout lines each of which serves 90 customers per hour. Customers arrive at the store at a Poisson rate of 240 customers per hour. The following queuing analysis spreadsheet was developed from this information.
  
-Refer to Exhibit 13.4. Based on this report what is the average number of customers waiting for a checker?

Accepted Answer

The answer of Exhibit 13.4
The following questions refer to the...

Question 5

Exhibit 13.1
The following questions are based on the output below.
A store currently operates its service system with 1 operator. Arrivals follow a Poisson distribution and service times are exponentially distributed. The following spreadsheet has been developed for the system.
  
-Refer to Exhibit 13.1. How many customers will be in the store on average at any one time?

Accepted Answer

A)  0.375 
B)  0.50 
C)  2.25 
D)  3.00 
A)  0.375 
B)  0.50 
C)  2.25 
D)  3.00

Question 6

The memoryless property is also referred to as the ____ property.

Accepted Answer

A)  Markov 
B)  Erlang 
C)  Poisson 
D)  Normal 
A)  Markov 
B)  Erlang 
C)  Poisson 
D)  Normal

Question 7

The amount of time a customer spends with the server is referred to as

Accepted Answer

A)  system time. 
B)  queue time. 
C)  service time. 
D)  served time. 
A)  system time. 
B)  queue time. 
C)  service time. 
D)  served time.

Question 8

Exhibit 13.6
The following questions refer to the information and output below.
The university computer lab has 10 computers which are constantly being used by students. Users need help from the one lab assistant fairly often. Students ask for help at a Poisson rate of with an average of 4 requests per hour for any one computer. The assistant answers questions as quickly as possible and the service time follows an exponential distribution with mean of 1 minute per help session. The following queuing analysis spreadsheet was developed from this information.
  
-Refer to Exhibit 13.6. Based on this report what is the probability that a student will not get instantaneous help?

Accepted Answer

The answer of Exhibit 13.6
The following questions refer to the...

Question 9

Which of the following is the typical operating characteristic for the probability an arriving unit has to wait for service?

Accepted Answer

A)  Wp 
B)  P0 
C)  Pw 
D)  Pn 
A)  Wp 
B)  P0 
C)  Pw 
D)  Pn

Question 10

Which of the following is the typical operating characteristic for average number of units in a queue?

Accepted Answer

A)  W 
B)  Wq 
C)  L 
D)  Lq 
A)  W 
B)  Wq 
C)  L 
D)  Lq

Question 11

Exhibit 13.4
The following questions refer to the information and output below.
A grocery store can serve an average of 360 customers per hour. The service times are exponentially distributed. The store has 4 checkout lines each of which serves 90 customers per hour. Customers arrive at the store at a Poisson rate of 240 customers per hour. The following queuing analysis spreadsheet was developed from this information.
  
-Refer to Exhibit 13.4. Based on this report how long does a customer wait before the checker begins serving them?

Accepted Answer

The answer of Exhibit 13.4
The following questions refer to the...

Question 12

A renege refers to

Accepted Answer

A)  a customer who refuses to join the queue. 
B)  a customer who refuses service by a specific server. 
C)  a customer who joins the queue but leaves before service is complete. 
D)  a customer who requires extra service time. 
A)  a customer who refuses to join the queue. 
B)  a customer who refuses service by a specific server. 
C)  a customer who joins the queue but leaves before service is complete. 
D)  a customer who requires extra service time.

Question 13

A company has recorded the following list of service rates (customers/hour) for one of its servers. What is the mean service time for this server? Customers / hour: 4, 4, 5, 6, 5, 4, 3, 4, 3, 5, 5, 6

Accepted Answer

A)  0.22 min 
B)  1.11 min 
C)  4.5 min 
D)  13.3 min 
A)  0.22 min 
B)  1.11 min 
C)  4.5 min 
D)  13.3 min

Question 14

Exhibit 13.6
The following questions refer to the information and output below.
The university computer lab has 10 computers which are constantly being used by students. Users need help from the one lab assistant fairly often. Students ask for help at a Poisson rate of with an average of 4 requests per hour for any one computer. The assistant answers questions as quickly as possible and the service time follows an exponential distribution with mean of 1 minute per help session. The following queuing analysis spreadsheet was developed from this information.
  
-Refer to Exhibit 13.6. Based on this report what is the average number of students waiting to be helped?

Accepted Answer

The answer of Exhibit 13.6
The following questions refer to the...

Question 15

Customers arrive at a store randomly, following a Poisson distribution at an average rate of 90 per hour. How many customers would you expect to arrive in a 20 minute period?

Accepted Answer

30 custome

Question 16

To find steady-state values for the M/M/S queuing system, which of the following statements must be true about the arrival rate?

Accepted Answer

A)  F1F1F1S1F1F1F10  s F1F1F1S1F1F1F10 
D)  F1F1F1S1F1F1F10 = s F1F1F1S1F1F1F10 
A)  F1F1F1S1F1F1F10  s F1F1F1S1F1F1F10 
D)  F1F1F1S1F1F1F10 = s F1F1F1S1F1F1F10

Question 17

If the arrival process is modeled as a Poisson random variable with arrival rate F1F1F1S1F1F1F10, then the average time between arrivals is

Accepted Answer

A)  1/F1F1F1S1F1F1F10 
B)  1/F1F1F1S1F1F1F10 
C)  1/F1F1F1S1F1F1F102 
D)  F1F1F1S1F1F1F10 
A)  1/F1F1F1S1F1F1F10 
B)  1/F1F1F1S1F1F1F10 
C)  1/F1F1F1S1F1F1F102 
D)  F1F1F1S1F1F1F10

Question 18

If the number of arrivals in a time period follow a Poisson distribution with mean F1F1F1S1F1F1F10 then the inter-arrival times follow a(n) ____ distribution with mean ____.

Accepted Answer

A)  normal; F1F1F1S1F1F1F10 
B)  constant; F1F1F1S1F1F1F10 
C)  exponential; F1F1F1S1F1F1F10 
D)  exponential; 1/F1F1F1S1F1F1F10 
A)  normal; F1F1F1S1F1F1F10 
B)  constant; F1F1F1S1F1F1F10 
C)  exponential; F1F1F1S1F1F1F10 
D)  exponential; 1/F1F1F1S1F1F1F10

Question 19

A company has recorded the following list of service rates (customers/hour) for one of its servers. What is the mean service time for this server?
 $\begin{array}{cc}
\text { Customers } & \text { /hour } \
\hline 2 & 3 \
3 & 4 \
2 & 3 \
3 & 3 \
4 & 2 \
4 & 3 \
2 & 4
\end{array}$

Accepted Answer

3 customers per hour

Question 20

A store is considering adding a second clerk. The customer arrival rate at this new server will be

Accepted Answer

A)  twice the old rate. 
B)  half the old rate. 
C)  the same as the old rate. 
D)  unpredictable. 
A)  twice the old rate. 
B)  half the old rate. 
C)  the same as the old rate. 
D)  unpredictable.

Customers arrive at a store randomly, following a Poisson distribution at an average rate of 90 per hour. How many customers arrive per minute, on average?

The M/D/1 model results can be derived from which of the following systems?

Which type of queuing system are you likely to encounter at a grocery store?

The memoryless property is also referred to as the ____ property.

The amount of time a customer spends with the server is referred to as

Which of the following is the typical operating characteristic for the probability an arriving unit has to wait for service?

Which of the following is the typical operating characteristic for average number of units in a queue?

A renege refers to

A company has recorded the following list of service rates (customers/hour) for one of its servers. What is the mean service time for this server? Customers / hour: 4, 4, 5, 6, 5, 4, 3, 4, 3, 5, 5, 6

Customers arrive at a store randomly, following a Poisson distribution at an average rate of 90 per hour. How many customers would you expect to arrive in a 20 minute period?

To find steady-state values for the M/M/S queuing system, which of the following statements must be true about the arrival rate?

If the arrival process is modeled as a Poisson random variable with arrival rate , then the average time between arrivals is

If the number of arrivals in a time period follow a Poisson distribution with mean  then the inter-arrival times follow a(n) distribution with mean .

A company has recorded the following list of service rates (customers/hour) for one of its servers. What is the mean service time for this server? Customers /hour 2 3 3 4 2 3 3 3 4 2 4 3 2 4

A store is considering adding a second clerk. The customer arrival rate at this new server will be

Introduction to Modeling and Decision Analysis

Introduction to Optimization and Linear Programming

Modeling and Solving Lp Problems in a Spreadsheet

Sensitivity Analysis and the Simplex Method

Network Modeling

Integer Linear Programming

Goal Programming and Multiple Objective Optimization

Nonlinear Programming and Evolutionary Optimization

Regression Analysis

Discriminant Analysis

Time Series Forecasting

Introduction to Simulation Using Risk Solver Platform

Decision Analysis

Project Management Online

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Exam 13: Queuing Theory

Customers arrive at a store randomly, following a Poisson distribution at an average rate of 90 per hour. How many customers arrive per minute, on average?

The M/D/1 model results can be derived from which of the following systems?

Which type of queuing system are you likely to encounter at a grocery store?

The memoryless property is also referred to as the ____ property.

The amount of time a customer spends with the server is referred to as

Which of the following is the typical operating characteristic for the probability an arriving unit has to wait for service?

Which of the following is the typical operating characteristic for average number of units in a queue?

A renege refers to

A company has recorded the following list of service rates (customers/hour) for one of its servers. What is the mean service time for this server? Customers / hour: 4, 4, 5, 6, 5, 4, 3, 4, 3, 5, 5, 6

Customers arrive at a store randomly, following a Poisson distribution at an average rate of 90 per hour. How many customers would you expect to arrive in a 20 minute period?

To find steady-state values for the M/M/S queuing system, which of the following statements must be true about the arrival rate?

If the arrival process is modeled as a Poisson random variable with arrival rate , then the average time between arrivals is

If the number of arrivals in a time period follow a Poisson distribution with mean  then the inter-arrival times follow a(n) ____ distribution with mean ____.

A company has recorded the following list of service rates (customers/hour) for one of its servers. What is the mean service time for this server? Customers /hour 2 3 3 4 2 3 3 3 4 2 4 3 2 4

A store is considering adding a second clerk. The customer arrival rate at this new server will be

Introduction to Modeling and Decision Analysis

Introduction to Optimization and Linear Programming

Modeling and Solving Lp Problems in a Spreadsheet

Sensitivity Analysis and the Simplex Method

Network Modeling

Integer Linear Programming

Goal Programming and Multiple Objective Optimization

Nonlinear Programming and Evolutionary Optimization

Regression Analysis

Discriminant Analysis

Time Series Forecasting

Introduction to Simulation Using Risk Solver Platform

Decision Analysis

Project Management Online

Filters

If the number of arrivals in a time period follow a Poisson distribution with mean  then the inter-arrival times follow a(n) distribution with mean .