Question 1

The utilization factor is the ratio of the arrival rate to the service rate

Accepted Answer

A) True 
 B)False

Question 2

A small popular restaurant at an interstate truck stop provides priority service to truckers.The restaurant has ten tables where customers may be seated.The service time averages 40 minutes once a party is seated.The customer arrival rate is 12 parties per hour,with the parties being equally divided between truckers and non-truckers.
-On average,how many parties of truckers are waiting to be seated?

Accepted Answer

A) 0 27 
B) 0 52 
C) 0 88 
D) 1 36 
E) 1 75 
A) 0 27 
B) 0 52 
C) 0 88 
D) 1 36 
E) 1 75

Question 3

Waiting lines occur even in systems that are less that 100% utilized because of variability in service rates and/or arrival rates

Accepted Answer

A) True 
 B)False

Question 4

There are 5 servers in a system with an arrival rate of 6 per hour and a service time of 20 minutes What is the system utilization?

Accepted Answer

A) 0 1 
B) 0 3 
C) 0 4 
D) 1 2 
E) 2 0 
A) 0 1 
B) 0 3 
C) 0 4 
D) 1 2 
E) 2 0

Question 5

A single server queueing system has an average service time of 8 minutes and an average time between arrivals of 10 minutes The arrival rate is:

Accepted Answer

A) 6 per hour 
B) 7 5 per hour 
C) 8 per hour 
D) 10 per hour 
E) 12 5 per hour 
A) 6 per hour 
B) 7 5 per hour 
C) 8 per hour 
D) 10 per hour 
E) 12 5 per hour

Question 6

A loading dock with two servers who work together as a team would be an example of a multiple-server system

Accepted Answer

A) True 
 B)False

Question 7

Priority :Average Arrival Rate (exponential interarrival times)
High : 3 per hour
Low : 5 per hour
Number of servers: 5
Service rate: 2 per hour (exponential service times)
-What is the system utilization factor?

Accepted Answer

A) 0 45 
B) 0 50 
C) 0 55 
D) 0 65 
E) 0 80 
A) 0 45 
B) 0 50 
C) 0 55 
D) 0 65 
E) 0 80

Question 8

For a system that has a high utilization factor,decreasing the service rate will have only a negligible effect on customer waiting time

Accepted Answer

A) True 
 B)False

Question 9

How many minutes does the average customer wait in line?

Accepted Answer

A) 7 
B) 8 
C) 9 
D) 10 
E) 11 
A) 7 
B) 8 
C) 9 
D) 10 
E) 11

Question 10

Which of the following is not generally considered as a measure of performance in queueing analysis?

Accepted Answer

A) The average number waiting in line 
B) The average number in the system 
C) The system utilization factor 
D) The cost of servers plus customer waiting cost 
E) Service time 
A) The average number waiting in line 
B) The average number in the system 
C) The system utilization factor 
D) The cost of servers plus customer waiting cost 
E) Service time

Question 11

Customers arrive at a video rental desk at the rate of one per minute (exponential interarrival times). Each server can handle 0.4 customers per minute (exponential service times).
-If there are 4 servers,what is the probability of three or fewer customers in the system?

Accepted Answer

A) 0 19 
B) 0 23 
C) 0 63 
D) 0 68 
E) 0 79 
A) 0 19 
B) 0 23 
C) 0 63 
D) 0 68 
E) 0 79

Question 12

Priority :Average Arrival Rate (exponential interarrival times)
High : 3 per hour
Low : 5 per hour
Number of servers: 5
Service rate: 2 per hour (exponential service times)
-What is the average number of low priority items waiting in line for service?

Accepted Answer

A) 0 
B) 0 24 
C) 1 74 
D) 1 98 
E) 2 22 
A) 0 
B) 0 24 
C) 1 74 
D) 1 98 
E) 2 22

Question 13

Choosing the number of servers in a system involves finding an appropriate trade-off between the cost of the servers and the amount of waiting

Accepted Answer

A) True 
 B)False

Question 14

Priority :Average Arrival Rate (exponential interarrival times)
High : 3 per hour
Low : 5 per hour
Number of servers: 5
Service rate: 2 per hour (exponential service times)
-What is the average number of high priority items waiting in line for service?

Accepted Answer

A) 0 
B) 0 24 
C) 1 74 
D) 1 98 
E) 2 22 
A) 0 
B) 0 24 
C) 1 74 
D) 1 98 
E) 2 22

The utilization factor is the ratio of the arrival rate to the service rate

Waiting lines occur even in systems that are less that 100% utilized because of variability in service rates and/or arrival rates

There are 5 servers in a system with an arrival rate of 6 per hour and a service time of 20 minutes What is the system utilization?

A single server queueing system has an average service time of 8 minutes and an average time between arrivals of 10 minutes The arrival rate is:

A loading dock with two servers who work together as a team would be an example of a multiple-server system

Priority :Average Arrival Rate (exponential interarrival times) High : 3 per hour Low : 5 per hour Number of servers: 5 Service rate: 2 per hour (exponential service times) -What is the system utilization factor?

For a system that has a high utilization factor,decreasing the service rate will have only a negligible effect on customer waiting time

How many minutes does the average customer wait in line?

Which of the following is not generally considered as a measure of performance in queueing analysis?

Customers arrive at a video rental desk at the rate of one per minute (exponential interarrival times). Each server can handle 0.4 customers per minute (exponential service times). -If there are 4 servers,what is the probability of three or fewer customers in the system?

Priority :Average Arrival Rate (exponential interarrival times) High : 3 per hour Low : 5 per hour Number of servers: 5 Service rate: 2 per hour (exponential service times) -What is the average number of low priority items waiting in line for service?

Choosing the number of servers in a system involves finding an appropriate trade-off between the cost of the servers and the amount of waiting

Priority :Average Arrival Rate (exponential interarrival times) High : 3 per hour Low : 5 per hour Number of servers: 5 Service rate: 2 per hour (exponential service times) -What is the average number of high priority items waiting in line for service?

Introduction

Linear programming: Basic Concepts

Linear programming: Formulation and applications

Theart of modeling with spread sheets

What-If Analysis for linear programming

Network optimization problems

Using binary integer programming to deal withy es-Or-No decisions

Non linear programming

Decision Analysis

Forecasting

Computer simulation: Basic Concepts

Computer simulation with risks olver platform

Solution concepts for linear programming

Transportation and assignment problems

Pert CPM models for project management

Goal programming

Inventory management with known demand

Inventory management with uncertain demand

Computer simulation with crystal ball

Filters

Exam 11: Queuing models

The utilization factor is the ratio of the arrival rate to the service rate

Waiting lines occur even in systems that are less that 100% utilized because of variability in service rates and/or arrival rates

There are 5 servers in a system with an arrival rate of 6 per hour and a service time of 20 minutes What is the system utilization?

A single server queueing system has an average service time of 8 minutes and an average time between arrivals of 10 minutes The arrival rate is:

A loading dock with two servers who work together as a team would be an example of a multiple-server system

Priority :Average Arrival Rate (exponential interarrival times) High : 3 per hour Low : 5 per hour Number of servers: 5 Service rate: 2 per hour (exponential service times) -What is the system utilization factor?

For a system that has a high utilization factor,decreasing the service rate will have only a negligible effect on customer waiting time

How many minutes does the average customer wait in line?

Which of the following is not generally considered as a measure of performance in queueing analysis?

Customers arrive at a video rental desk at the rate of one per minute (exponential interarrival times). Each server can handle 0.4 customers per minute (exponential service times). -If there are 4 servers,what is the probability of three or fewer customers in the system?

Priority :Average Arrival Rate (exponential interarrival times) High : 3 per hour Low : 5 per hour Number of servers: 5 Service rate: 2 per hour (exponential service times) -What is the average number of low priority items waiting in line for service?

Choosing the number of servers in a system involves finding an appropriate trade-off between the cost of the servers and the amount of waiting

Priority :Average Arrival Rate (exponential interarrival times) High : 3 per hour Low : 5 per hour Number of servers: 5 Service rate: 2 per hour (exponential service times) -What is the average number of high priority items waiting in line for service?

Introduction

Linear programming: Basic Concepts

Linear programming: Formulation and applications

Theart of modeling with spread sheets

What-If Analysis for linear programming

Network optimization problems

Using binary integer programming to deal withy es-Or-No decisions

Non linear programming

Decision Analysis

Forecasting

Computer simulation: Basic Concepts

Computer simulation with risks olver platform

Solution concepts for linear programming

Transportation and assignment problems

Pert CPM models for project management

Goal programming

Inventory management with known demand

Inventory management with uncertain demand

Computer simulation with crystal ball

Filters