Question 1

In an Erlang loss model,customers who arrive when all servers are busy are lost to the system.

Accepted Answer

A) True 
 B)False

Question 2

A queuing system where customers join a single line and then are served by the first available server are said to be:

Accepted Answer

A)  in parallel 
B)  in series 
C)  random 
D)  networked 
A)  in parallel 
B)  in series 
C)  random 
D)  networked

Question 3

Exhibit 13-3
A Credit Union has a small branch in which a single customer service representative serves the needs of customers who arrive at an average rate of 24 per hour.The service representative can typically handle 30 customers per hour.Based on an analysis of historical data,it is reasonable to assume that customer interarrival times and service times are exponentially distributed.Assume that all arriving customers enter the branch,regardless of the number already waiting in line.
-Refer to Exhibit 13-3.What is the average length of time (in hours)spent waiting in line?

Accepted Answer

W<sub>Q</sub> = W<su

Question 4

Exhibit 13-1
A grocery store manager would like to use an analytical queueing model to study the lines of customers that form in front of the checkout stations in the store.During a period of time when business is steady,several store employees have gathered data on customer interarrival times,which are shown below.  
-[Part 2] Refer to Exhibit 13-1.Assuming an exponential distribution with the parameter $\lambda$you obtained in Part 1,what is the probability that a customer interarrival time will be less than 2 minutes?

Accepted Answer

=EXPONDIST

Question 5

Which of the following is not one of the important issues defining types of arrivals in a queuing system?

Accepted Answer

A)  Whether customers arrive one at a time or in batches. 
B)  Whether customers are all essentially alike or are in separate priority classes. 
C)  Whether customers have been through the system before or not 
D)  Whether customers will wait in line or not 
A)  Whether customers arrive one at a time or in batches. 
B)  Whether customers are all essentially alike or are in separate priority classes. 
C)  Whether customers have been through the system before or not 
D)  Whether customers will wait in line or not

Question 6

The parameter $\lambda$ in an exponential distribution can be interpreted as a:

Accepted Answer

A)  time 
B)  rate 
C)  mean 
D)  standard deviation 
A)  time 
B)  rate 
C)  mean 
D)  standard deviation

Question 7

Which of the following is not one of the types of service disciplines?

Accepted Answer

A)  Longest-processing-time 
B)  First-come-first-served 
C)  Service-in-random-order 
D)  Last-come-first-served 
A)  Longest-processing-time 
B)  First-come-first-served 
C)  Service-in-random-order 
D)  Last-come-first-served

Question 8

In a process where interarrival times are exponentially distributed,the time since the last arrival is irrelevant.

Accepted Answer

A) True 
 B)False

Question 9

Server utilization is the:

Accepted Answer

A)  amount of time a typical server is busy 
B)  fraction of time a typical server is busy 
C)  number of servers being used in a system 
D)  number of times a server is used in a system 
A)  amount of time a typical server is busy 
B)  fraction of time a typical server is busy 
C)  number of servers being used in a system 
D)  number of times a server is used in a system

Question 10

Exhibit 13-3
A Credit Union has a small branch in which a single customer service representative serves the needs of customers who arrive at an average rate of 24 per hour.The service representative can typically handle 30 customers per hour.Based on an analysis of historical data,it is reasonable to assume that customer interarrival times and service times are exponentially distributed.Assume that all arriving customers enter the branch,regardless of the number already waiting in line.
-Refer to Exhibit 13-3.What percentage of all customers have to spend at least some small amount of time waiting in line?

Accepted Answer

% waiting in queue =

In an Erlang loss model,customers who arrive when all servers are busy are lost to the system.

A queuing system where customers join a single line and then are served by the first available server are said to be:

Which of the following is not one of the important issues defining types of arrivals in a queuing system?

The parameter $\lambda$ in an exponential distribution can be interpreted as a:

Which of the following is not one of the types of service disciplines?

In a process where interarrival times are exponentially distributed,the time since the last arrival is irrelevant.

Server utilization is the:

Introduction to Modeling

Introduction to Spreadsheet Modeling

Introduction to Optimization Modeling

Linear Programming Models

Network Models

Optimization Models With Integer Variables

Nonlinear Optimization Models

Evolutionary Solver: an Alternative Optimization Procedure

Decision Making Under Uncertainty

Introduction to Simulation Modeling

Simulation Models

Inventory Models

Regression and Forecasting Models

Filters

Exam 13: Queuing Models

In an Erlang loss model,customers who arrive when all servers are busy are lost to the system.

A queuing system where customers join a single line and then are served by the first available server are said to be:

Which of the following is not one of the important issues defining types of arrivals in a queuing system?

The parameter λ\lambdaλ in an exponential distribution can be interpreted as a:

Which of the following is not one of the types of service disciplines?

In a process where interarrival times are exponentially distributed,the time since the last arrival is irrelevant.

Server utilization is the:

Introduction to Modeling

Introduction to Spreadsheet Modeling

Introduction to Optimization Modeling

Linear Programming Models

Network Models

Optimization Models With Integer Variables

Nonlinear Optimization Models

Evolutionary Solver: an Alternative Optimization Procedure

Decision Making Under Uncertainty

Introduction to Simulation Modeling

Simulation Models

Inventory Models

Regression and Forecasting Models

Filters

The parameter $\lambda$ in an exponential distribution can be interpreted as a: