Question 1

Which of the following statements is FALSE about finite population queuing model?

Accepted Answer

A) Arrival rates have a Poisson distribution. 
B) Services time has a negative exponential distribution. 
C) Length of the queue has an impact on the arrival rate. 
D) Arrival rate is independent of the length of the queue. 
A) Arrival rates have a Poisson distribution. 
B) Services time has a negative exponential distribution. 
C) Length of the queue has an impact on the arrival rate. 
D) Arrival rate is independent of the length of the queue. D

Question 2

______ is the elapsed time between one customer arrival and the next.

Accepted Answer

A) Arrival pattern 
B) Arrival rate 
C) Interarrival time 
D) Service time 
A) Arrival pattern 
B) Arrival rate 
C) Interarrival time 
D) Service time C

Question 3

ABS specializes in repair and maintenance of industrial machines.One repair technician has been assigned to five identical grinding machines for repair and maintenance.The machine breaks down after about 20 hours of use,and breakdowns have a Poisson probability distribution.It takes 6 hours to repair a machine,and repair times follow an exponential distribution.Machine downtime costs the company $250 an hour,and the technician is paid $50 an hour.Determine the total cost per hour.

Accepted Answer

A) $550.34 
B) $582.50 
C) $284.50 
D) $725.50 
A) $550.34 
B) $582.50 
C) $284.50 
D) $725.50 B

Question 4

If the average number of customers served per hour is two customers per hour,then the probability that the service exceeds 9 minutes for any customer is ______.

Accepted Answer

A) 74.1% 
B) 54.9% 
C) 36.8% 
D) 17.4% 
A) 74.1% 
B) 54.9% 
C) 36.8% 
D) 17.4%

Question 5

______ limit the size or length of a finite queue.

Accepted Answer

A) Capacity constraints 
B) Demand constraints 
C) Service constraints 
D) Time constraints 
A) Capacity constraints 
B) Demand constraints 
C) Service constraints 
D) Time constraints

Question 6

The owner of an amusement park has decided to open a second entry booth and hire another employee to service customers entering the park.Customers arrive at the rate of 20 per hour and will wait in a single line until one of the two employees is available to provide service.The average service time of both employees is 2 minutes to provide service.The arrival rate follows Poisson distribution,and the service time follows a negative exponential distribution.Determine the probability that no customers are there in the system.

Accepted Answer

A) 50% 
B) 60% 
C) 70% 
D) 45% 
A) 50% 
B) 60% 
C) 70% 
D) 45%

Question 7

If 50 customers arrive at a teller window in a bank during a 5-hour period,then the arrival rate is ______.

Accepted Answer

A) 250 customers per hour 
B) 10 customers per hour 
C) five customers per hour 
D) 50 customers per hour 
A) 250 customers per hour 
B) 10 customers per hour 
C) five customers per hour 
D) 50 customers per hour

Question 8

An automatic car wash with a single bay takes a constant 3 minutes to wash.The arrival rate is 10 cars per hour.Determine the average number of cars waiting in line for the car wash.The arrival rate of cars tends to follow a Poisson distribution.

Accepted Answer

A) 0.25 cars 
B) 0.5 cars 
C) 1 car 
D) 1.5 cars 
A) 0.25 cars 
B) 0.5 cars 
C) 1 car 
D) 1.5 cars

Question 9

The notation M/M/S is a representation of which of the following models?

Accepted Answer

A) single-channel or single-server queuing model 
B) single-channel,constant service rate queuing model 
C) multiple-channel or multiple-server queuing model 
D) finite population queuing model 
A) single-channel or single-server queuing model 
B) single-channel,constant service rate queuing model 
C) multiple-channel or multiple-server queuing model 
D) finite population queuing model

Question 10

Waiting lines cause ______ and ______ costs.

Accepted Answer

A) fixed and variable 
B) fixed and recurring 
C) tangible and intangible 
D) capacity and demand 
A) fixed and variable 
B) fixed and recurring 
C) tangible and intangible 
D) capacity and demand

Question 11

Which of the following statements is FALSE about customer waiting lines?

Accepted Answer

A) A waiting line occurs when customers arrive at a service facility at random rather than at predictable intervals. 
B) A waiting time for a customer is dependent on the number of people waiting for service ahead of that customer. 
C) Waiting lines can only be physical,with customers waiting in line for service. 
D) The time it takes to service a customer varies,as each customer's need for service is often unique. 
A) A waiting line occurs when customers arrive at a service facility at random rather than at predictable intervals. 
B) A waiting time for a customer is dependent on the number of people waiting for service ahead of that customer. 
C) Waiting lines can only be physical,with customers waiting in line for service. 
D) The time it takes to service a customer varies,as each customer's need for service is often unique.

Question 12

Let us consider that customers arrive at the rate of seven per hour and wait for an average 0.25 hour in a shop.Using Little's law,determine the average number of customers in the queuing system.

Accepted Answer

A) 2 
B) 2.4 
C) 1.25 
D) 1.75 
A) 2 
B) 2.4 
C) 1.25 
D) 1.75

Question 13

Which of the following is NOT one of the commonly used measures of the queuing model?

Accepted Answer

A) average number of customers waiting in line 
B) average time a customer spends waiting in line for service 
C) average value of transaction by the customer 
D) capacity utilization factor for the system 
A) average number of customers waiting in line 
B) average time a customer spends waiting in line for service 
C) average value of transaction by the customer 
D) capacity utilization factor for the system

Question 14

______ refers to the number of service stops that each customer must make in sequential servers to complete the required service.

Accepted Answer

A) Number of phases 
B) Number of channels 
C) Number of queues 
D) Number of service systems 
A) Number of phases 
B) Number of channels 
C) Number of queues 
D) Number of service systems

Question 15

In queuing models,we make several assumptions about the arrival pattern of customers.Which of the following is NOT one of those assumptions?

Accepted Answer

A) Customers will patiently wait in line for their turn to receive service. 
B) Customers will switch lines to whichever line is moving fastest. 
C) Customers will not leave the waiting line. 
D) Customers will not refuse to join the line (balk). 
A) Customers will patiently wait in line for their turn to receive service. 
B) Customers will switch lines to whichever line is moving fastest. 
C) Customers will not leave the waiting line. 
D) Customers will not refuse to join the line (balk).

Question 16

The number of customers served per unit of time is called ______.

Accepted Answer

A) service rate 
B) service time 
C) arrival rate 
D) interarrival rate 
A) service rate 
B) service time 
C) arrival rate 
D) interarrival rate

Question 17

The owner of an amusement park has decided to open a second entry booth and hire another employee to service customers entering the park.Customers arrive at the rate of 20 per hour and will wait in a single line until one of the two employees is available to provide service.The average service time of both employees is 2 minutes to provide service.T The arrival rate follows Poisson distribution,and the service time follows a negative exponential distribution.Determine the average time the customer spends in the queue.

Accepted Answer

A) 2.25 minutes 
B) 3 minutes 
C) 0.25 minutes 
D) 1 minute 
A) 2.25 minutes 
B) 3 minutes 
C) 0.25 minutes 
D) 1 minute

Question 18

In ______,a mathematical model of a waiting line system is constructed so that the length of the queues and their associated waiting times can be predicted.

Accepted Answer

A) queuing theory 
B) waiting line theory 
C) queue analysis 
D) game theory 
A) queuing theory 
B) waiting line theory 
C) queue analysis 
D) game theory

Question 19

Which of the following is LEAST likely to have a very large number of possible customers?

Accepted Answer

A) banks on busy streets 
B) movie theaters 
C) theme parks 
D) the number of patients assigned to a nurse in the gynecology ward of a hospital 
A) banks on busy streets 
B) movie theaters 
C) theme parks 
D) the number of patients assigned to a nurse in the gynecology ward of a hospital

Question 20

Customers at an amusement park arrive at the rate of 10 customers per hour.The entry booth is staffed by one employee.The mean service time at the booth to provide service to each customer is 5 minutes.The arrival rate follows a Poisson distribution,and the service time at the booth follows a negative exponential distribution.Determine the average number of customers waiting in line.

Accepted Answer

A) 3.23 customers 
B) 4.17 customers 
C) 8 customers 
D) 7.65 customers 
A) 3.23 customers 
B) 4.17 customers 
C) 8 customers 
D) 7.65 customers

Exam 26: Waiting Line Models

Which of the following statements is FALSE about finite population queuing model?

______ is the elapsed time between one customer arrival and the next.

If the average number of customers served per hour is two customers per hour,then the probability that the service exceeds 9 minutes for any customer is ______.

______ limit the size or length of a finite queue.

If 50 customers arrive at a teller window in a bank during a 5-hour period,then the arrival rate is ______.

An automatic car wash with a single bay takes a constant 3 minutes to wash.The arrival rate is 10 cars per hour.Determine the average number of cars waiting in line for the car wash.The arrival rate of cars tends to follow a Poisson distribution.

The notation M/M/S is a representation of which of the following models?

Waiting lines cause ______ and ______ costs.

Which of the following statements is FALSE about customer waiting lines?

Let us consider that customers arrive at the rate of seven per hour and wait for an average 0.25 hour in a shop.Using Little's law,determine the average number of customers in the queuing system.

Which of the following is NOT one of the commonly used measures of the queuing model?

______ refers to the number of service stops that each customer must make in sequential servers to complete the required service.

In queuing models,we make several assumptions about the arrival pattern of customers.Which of the following is NOT one of those assumptions?

The number of customers served per unit of time is called ______.

In ______,a mathematical model of a waiting line system is constructed so that the length of the queues and their associated waiting times can be predicted.

Which of the following is LEAST likely to have a very large number of possible customers?

Introduction to Managing Global Operations and Supply Chains

Operations and Supply Chain Strategies

Project Management

Supplement: Project Management

Product and Service Innovations

Supplement: Reliability

Managing for Quality

Quality Improvement and Control Tools

Capacity Planning

Supply Chain Design and Location Planning

Process Design and Layout Planning

Supplement: Tools for Analyzing, Designing, and Selecting Processes and Layouts

Supplier Management

Logistics Management

Demand Management and Customer Service

Demand Forecasting Methods

Lean Operations and Supply Chains

Inventory Management

Inventory Control Models

Sales and Operations Planning

Master Scheduling and Material Requirements Planning

Supplement: Capacity Requirements Planning, MRP II, ERP, and DRP

Detailed Scheduling

Linear Programming

The Transportation Models

Simulation

Learning Curves

Decision-Making Tools

Filters

Waiting lines cause and costs.