Question 1

If arrivals occur according to the Poisson distribution every 20 minutes, then which is NOT true?

Accepted Answer

A)  $\lambda$ = 20 arrivals per hour 
B)  $\lambda$= 3 arrivals per hour 
C)  $\lambda$ = 1/20 arrivals per minute 
D)  $\lambda$= 72 arrivals per day 
A)  $\lambda$ = 20 arrivals per hour 
B)  $\lambda$= 3 arrivals per hour 
C)  $\lambda$ = 1/20 arrivals per minute 
D)  $\lambda$= 72 arrivals per day

Question 2

Adding more channels always improves the operating characteristics of the waiting line and reduces the waiting cost.

Accepted Answer

A) True 
 B)False

Question 3

When a waiting system is in steady-state operation, the number of units in the system is not changing.

Accepted Answer

A) True 
 B)False

Question 4

Performance measures dealing with the number of units in line and the time spent waiting are called

Accepted Answer

A)  queuing facts. 
B)  performance queues. 
C)  system measures. 
D)  operating characteristics. 
A)  queuing facts. 
B)  performance queues. 
C)  system measures. 
D)  operating characteristics.

Question 5

For a single-channel waiting line, the utilization factor is the probability that an arriving unit must wait for service.

Accepted Answer

A) True 
 B)False

Question 6

For an M/M/1 queuing system, if the service rate, µ, is doubled, the average wait in the system, W, is cut in half.

Accepted Answer

A) True 
 B)False

Question 7

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.

Question 8

The arrival rate in queuing formulas is expressed as

Accepted Answer

A)  the mean time between arrivals. 
B)  the minimum number of arrivals per time period. 
C)  the mean number of arrivals per channel. 
D)  the mean number of arrivals per time period. 
A)  the mean time between arrivals. 
B)  the minimum number of arrivals per time period. 
C)  the mean number of arrivals per channel. 
D)  the mean number of arrivals per time period.

Question 9

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 10

The manner in which units receive their service, such as FCFS, is the

Accepted Answer

A)  queue discipline. 
B)  channel. 
C)  steady state. 
D)  operating characteristic. 
A)  queue discipline. 
B)  channel. 
C)  steady state. 
D)  operating characteristic.

Question 11

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 12

Little's flow equations indicate that the relationship of L to Lq is the same as that of W to Wq.

Accepted Answer

A) True 
 B)False

Question 13

Queue discipline refers to the manner in which waiting units are arranged for service.

Accepted Answer

A) True 
 B)False

Question 14

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 15

For an M/M/k system, the average number of customers in the system equals the customer arrival rate times the average time a customer spends waiting in the system.

Accepted Answer

A) True 
 B)False

Question 16

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

Accepted Answer

A) True 
 B)False

Question 17

For a single-server queuing system, the average number of customers in the waiting line is one less than the average number in the system.

Accepted Answer

A) True 
 B)False

Question 18

What queue discipline is assumed by the waiting line models presented in the textbook?

Accepted Answer

A)  first-come first-served. 
B)  last-in first-out. 
C)  shortest processing time first. 
D)  No discipline is assumed. 
A)  first-come first-served. 
B)  last-in first-out. 
C)  shortest processing time first. 
D)  No discipline is assumed.

Question 19

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 20

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

Accepted Answer

A) True 
 B)False

If arrivals occur according to the Poisson distribution every 20 minutes, then which is NOT true?

Adding more channels always improves the operating characteristics of the waiting line and reduces the waiting cost.

When a waiting system is in steady-state operation, the number of units in the system is not changing.

Performance measures dealing with the number of units in line and the time spent waiting are called

For a single-channel waiting line, the utilization factor is the probability that an arriving unit must wait for service.

For an M/M/1 queuing system, if the service rate, µ, is doubled, the average wait in the system, W, is cut in half.

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

The arrival rate in queuing formulas is expressed as

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

The manner in which units receive their service, such as FCFS, is the

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.

Little's flow equations indicate that the relationship of L to L_q is the same as that of W to W_q.

Queue discipline refers to the manner in which waiting units are arranged for service.

Models with a finite calling population

For an M/M/k system, the average number of customers in the system equals the customer arrival rate times the average time a customer spends waiting in the system.

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

For a single-server queuing system, the average number of customers in the waiting line is one less than the average number in the system.

What queue discipline is assumed by the waiting line models presented in the textbook?

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

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

Forecasting

Markov Processes

Filters

Exam 11: Waiting Line Models

If arrivals occur according to the Poisson distribution every 20 minutes, then which is NOT true?

Adding more channels always improves the operating characteristics of the waiting line and reduces the waiting cost.

When a waiting system is in steady-state operation, the number of units in the system is not changing.

Performance measures dealing with the number of units in line and the time spent waiting are called

For a single-channel waiting line, the utilization factor is the probability that an arriving unit must wait for service.

For an M/M/1 queuing system, if the service rate, µ, is doubled, the average wait in the system, W, is cut in half.

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

The arrival rate in queuing formulas is expressed as

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

The manner in which units receive their service, such as FCFS, is the

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.

Little's flow equations indicate that the relationship of L to Lq is the same as that of W to Wq.

Queue discipline refers to the manner in which waiting units are arranged for service.

Models with a finite calling population

For an M/M/k system, the average number of customers in the system equals the customer arrival rate times the average time a customer spends waiting in the system.

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

For a single-server queuing system, the average number of customers in the waiting line is one less than the average number in the system.

What queue discipline is assumed by the waiting line models presented in the textbook?

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

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

Forecasting

Markov Processes

Filters

Little's flow equations indicate that the relationship of L to L_q is the same as that of W to W_q.