Question 1

​Explain what is meant by the following statement, "operating characteristics are non-optimizing."

Accepted Answer

The statement "operating characteristics

Question 2

For an M/G/1 system with λ = 6 and μ = 9, with σ = .03, find
a.the probability the system is idle.
b.the average length of the queue.
c.the average number in the system.

Accepted Answer

a.P₀ = .67

Question 3

Little's flow equations

Accepted Answer

A)  require Poisson and exponential assumptions. 
B)  are applicable to any waiting line model. 
C)  require independent calculation of W, L, Wq, and Lq. 
D)  All of the alternatives are correct. 
A)  require Poisson and exponential assumptions. 
B)  are applicable to any waiting line model. 
C)  require independent calculation of W, L, Wq, and Lq. 
D)  All of the alternatives are correct.

Question 4

​The machine repair problem is an application of the M/M/1 model with

Accepted Answer

A)  ​no waiting line. 
B)  ​arbitrary service times. 
C)  ​a finite calling population. 
D)  ​blocked customers cleared. 
A)  ​no waiting line. 
B)  ​arbitrary service times. 
C)  ​a finite calling population. 
D)  ​blocked customers cleared.

Question 5

Queue discipline refers to the assumption that a customer has the patience to remain in a slow moving queue.

Accepted Answer

A) True 
 B)False

Question 6

​Discuss the importance of the utilization factor in a queuing system and the assumptions made about its value.

Accepted Answer

The utilization factor in a queuing syst

Question 7

Models with a finite calling population

Accepted Answer

A)  have an arrival rate independent of the number of units in the system. 
B)  have a service rate dependent on the number of units in the system. 
C)  use the size of the population as a parameter in the operating characteristics formulas. 
D)  All of the alternatives are correct. 
A)  have an arrival rate independent of the number of units in the system. 
B)  have a service rate dependent on the number of units in the system. 
C)  use the size of the population as a parameter in the operating characteristics formulas. 
D)  All of the alternatives are correct.

Question 8

Before waiting lines can be analyzed economically, the arrivals' cost of waiting must be estimated.

Accepted Answer

A) True 
 B)False

Question 9

The Grand Movie Theater has one box office clerk. On average, each customer that comes to see a movie can be sold its ticket at the rate of 6 per minute. For the theater's normal offerings of older movies, customers arrive at the rate of 3 per minute. Assume arrivals follow the Poisson distribution and service times follow the exponential distribution.
a.What is the average number of customers waiting in line?
b.What is the average time a customer spends in the waiting line?
c.What is the average number of customers in the system?
d.What is a customer's average time in the system?
e.What is the probability that someone will be buying tickets when an arrival occurs?The Grand has booked the Stars Wars Trilogy and expects more customers. From conversations with other theater owners, it estimates that the arrival rate will increase to 10 per minute. Output is supplied for a two-cashier and a three-cashier system.   f. The Grand has space for ten customers to wait indoors to buy tickets. Which system will be better?g. Do you think it is more sensible for them to continue the one-cashier system?

Accepted Answer

a.L_q = .5 B.W_q = .1667 C.L = 1 D.W = .3333

Question 10

​List six steady-state operating characteristics for a single-channel waiting line with Poisson arrivals and exponential
service times.

Accepted Answer

A single-channel waiting line with Poiss

Question 11

Use of the Poisson probability distribution assumes that arrivals are not random.

Accepted Answer

A) True 
 B)False

Question 12

The time to process a registration at the Sea View Resort follows the exponential distribution and has a mean of 6 minutes.
a.What is the probability of a registration time shorter than 3 minutes?
b.What is the probability of a registration time shorter than 6 minutes?
c.What is the probability of a registration time between 3 and 6 minutes?

Accepted Answer

a.P(time ≤ 3) = 1 − .6065 = .3

Question 13

The Sea View Resort uses a multiple-channel queue registration system. If the average service time is 8 minutes, there are three registration clerks, and guests arrive at the rate of one every 5 minutes, find
a.λ and μ.
b.the probability all three clerks are idle.
c.the probability a guest will have to wait.
d.the average time a customer is in line.
e.the average number of customers in line.

Accepted Answer

a.λ = 12 per hour, μ

Question 14

A waiting line situation where every customer waits in the same line before being served by the same server is called a single server waiting line.

Accepted Answer

A) True 
 B)False

Question 15

The insurance department at Shear's has two agents, each working at a mean speed of 8 customers per hour. Customers arrive at the insurance desk at a mean rate of one every six minutes and form a single queue. Management feels that some customers are going to find the wait at the desk too long and take their business to Word's, Shear's competitor.
In order to reduce the time required by an agent to serve a customer Shear's is contemplating installing one of two minicomputer systems: System A which leases for $18 per day and will increase an agent's efficiency by 25%; or, System B which leases for $23 per day and will increase an agent's efficiency by 50%. Agents work 8-hour days.
If Shear's estimates its cost of having a customer in the system at $3 per hour, determine if Shear's should install a new minicomputer system, and if so, which one.

Accepted Answer

No system: $49.20; S

Question 16

Circle Electric Supply is considering opening a second service counter to better serve the electrical contractor customers. The arrival rate is 10 per hour. The service rate is 14 per hour. If the cost of waiting is $30 and the cost of each service counter is $22 per hour, then should the second counter be opened?

Accepted Answer

With one window the cost per h

Question 17

In a multiple channel system it is more efficient to have a separate waiting line for each channel.

Accepted Answer

A) True 
 B)False

Question 18

Little's flow equations apply to any waiting line model.

Accepted Answer

A) True 
 B)False

Question 19

​Single-booth ticket sales at a theater would be an example of which queuing model?

Accepted Answer

A)  ​single-channel, Poisson service rate distribution, unlimited queue length. 
B)  ​single-channel, Poisson service rate distribution, limited queue length. 
C)  ​single-channel, constant service rate distribution, unlimited queue length. 
D)  ​single-channel, normal service rate distribution, unlimited queue length. 
A)  ​single-channel, Poisson service rate distribution, unlimited queue length. 
B)  ​single-channel, Poisson service rate distribution, limited queue length. 
C)  ​single-channel, constant service rate distribution, unlimited queue length. 
D)  ​single-channel, normal service rate distribution, unlimited queue length.

Question 20

For many waiting line situations, the arrivals occur randomly and independently of other arrivals and it has been found that a good description of the arrival pattern is provided by

Accepted Answer

A)  a normal probability distribution. 
B)  an exponential probability distribution. 
C)  a uniform probability distribution. 
D)  a Poisson probability distribution. 
A)  a normal probability distribution. 
B)  an exponential probability distribution. 
C)  a uniform probability distribution. 
D)  a Poisson probability distribution.

Explain what is meant by the following statement, "operating characteristics are non-optimizing."

For an M/G/1 system with λ = 6 and μ = 9, with σ = .03, find a.the probability the system is idle. b.the average length of the queue. c.the average number in the system.

Little's flow equations

The machine repair problem is an application of the M/M/1 model with

Queue discipline refers to the assumption that a customer has the patience to remain in a slow moving queue.

Discuss the importance of the utilization factor in a queuing system and the assumptions made about its value.

Models with a finite calling population

Before waiting lines can be analyzed economically, the arrivals' cost of waiting must be estimated.

List six steady-state operating characteristics for a single-channel waiting line with Poisson arrivals and exponential service times.

Use of the Poisson probability distribution assumes that arrivals are not random.

A waiting line situation where every customer waits in the same line before being served by the same server is called a single server waiting line.

In a multiple channel system it is more efficient to have a separate waiting line for each channel.

Little's flow equations apply to any waiting line model.

Single-booth ticket sales at a theater would be an example of which queuing model?

For many waiting line situations, the arrivals occur randomly and independently of other arrivals and it has been found that a good description of the arrival pattern is provided by

Introduction

An Introduction to Linear Programming

Linear Programming: Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications in Marketing, Finance, and Operations Management

Advanced Linear Programming Applications

Distribution and Network Models

Integer Linear Programming

Nonlinear Optimization Models

Project Scheduling: Pertcpm

Inventory Models

Simulation

Decision Analysis

Multicriteria Decisions

Time Series Analysis and Forecasting

Markov Processes

Linear Programming: Simplex Method

Simplex-Based Sensitivity Analysis and Duality

Solution Procedures for Transportation and Assignment Problems

Minimal Spanning Tree

Dynamic Programming

Filters

Exam 11: Waiting Line Models

​Explain what is meant by the following statement, "operating characteristics are non-optimizing."

For an M/G/1 system with λ = 6 and μ = 9, with σ = .03, find a.the probability the system is idle. b.the average length of the queue. c.the average number in the system.

Little's flow equations

​The machine repair problem is an application of the M/M/1 model with

Queue discipline refers to the assumption that a customer has the patience to remain in a slow moving queue.

​Discuss the importance of the utilization factor in a queuing system and the assumptions made about its value.

Models with a finite calling population

Before waiting lines can be analyzed economically, the arrivals' cost of waiting must be estimated.

​List six steady-state operating characteristics for a single-channel waiting line with Poisson arrivals and exponential service times.

Use of the Poisson probability distribution assumes that arrivals are not random.

A waiting line situation where every customer waits in the same line before being served by the same server is called a single server waiting line.

In a multiple channel system it is more efficient to have a separate waiting line for each channel.

Little's flow equations apply to any waiting line model.

​Single-booth ticket sales at a theater would be an example of which queuing model?

For many waiting line situations, the arrivals occur randomly and independently of other arrivals and it has been found that a good description of the arrival pattern is provided by

Introduction

An Introduction to Linear Programming

Linear Programming: Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications in Marketing, Finance, and Operations Management

Advanced Linear Programming Applications

Distribution and Network Models

Integer Linear Programming

Nonlinear Optimization Models

Project Scheduling: Pertcpm

Inventory Models

Simulation

Decision Analysis

Multicriteria Decisions

Time Series Analysis and Forecasting

Markov Processes

Linear Programming: Simplex Method

Simplex-Based Sensitivity Analysis and Duality

Solution Procedures for Transportation and Assignment Problems

Minimal Spanning Tree

Dynamic Programming

Filters

Explain what is meant by the following statement, "operating characteristics are non-optimizing."

The machine repair problem is an application of the M/M/1 model with

Discuss the importance of the utilization factor in a queuing system and the assumptions made about its value.

List six steady-state operating characteristics for a single-channel waiting line with Poisson arrivals and exponential service times.

Single-booth ticket sales at a theater would be an example of which queuing model?