Question 1

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

Accepted Answer

A) True 
 B)False  True

Question 2

For all waiting lines, P0 + Pw = 1.

Accepted Answer

A) True 
 B)False  False

Question 3

In developing the total cost for a waiting line, waiting cost takes into consideration both the time spent waiting in line and the time spent being served.

Accepted Answer

A) True 
 B)False  True

Question 4

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 5

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

Accepted Answer

A) True 
 B)False

Question 6

In a waiting line situation, arrivals occur, on average, every 10 minutes, and 10 units can be received every hour. What are $\lambda$ and $\mu$?

Accepted Answer

A) $\lambda$= 10, $\mu$= 10 
B) $\lambda$ = 6, $\mu$= 6 
C) $\lambda$ = 6, $\mu$ = 10 
D) $\lambda$ = 10, $\mu$ = 6 
A) $\lambda$= 10, $\mu$= 10 
B) $\lambda$ = 6, $\mu$= 6 
C) $\lambda$ = 6, $\mu$ = 10 
D) $\lambda$ = 10, $\mu$ = 6

Question 7

Give examples of systems you have seen in which a) blocked arrivals are cleared, and b) there is a finite calling population.

Accepted Answer

a) One example of a system in which bloc

Question 8

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 9

Decision makers in queuing situations attempt to balance

Accepted Answer

A) operating characteristics against the arrival rate. 
B) service levels against service cost. 
C) the number of units in the system against the time in the system. 
D) the service rate against the arrival rate. 
A) operating characteristics against the arrival rate. 
B) service levels against service cost. 
C) the number of units in the system against the time in the system. 
D) the service rate against the arrival rate.

Question 10

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

Accepted Answer

A) True 
 B)False

Question 11

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 12

How can a system be changed to improve the service rate?

Accepted Answer

To improve the service rate of a system,

Question 13

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 14

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 15

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 16

The assumption of exponentially distributed service times indicates that

Accepted Answer

A) 37% of the service times are less than the mean service time. 
B) 50% of the service times are less than the mean service time. 
C) 63% of the service times are less than the mean service time. 
D) service time increase at an exponential rate as the waiting line grows. 
A) 37% of the service times are less than the mean service time. 
B) 50% of the service times are less than the mean service time. 
C) 63% of the service times are less than the mean service time. 
D) service time increase at an exponential rate as the waiting line grows.

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

For an M/G/1 system with $\lambda$ = 20 and $\mu$ = 35, with $\sigma$ = .005, 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 = .428

Question 19

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 20

In waiting line systems where the length of the waiting line is limited, the mean number of units entering the system might be less than the arrival rate.

Accepted Answer

A) True 
 B)False

Exam 11: Waiting Line Models

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

For all waiting lines, P0 + Pw = 1.

In developing the total cost for a waiting line, waiting cost takes into consideration both the time spent waiting in line and the time spent being served.

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

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

In a waiting line situation, arrivals occur, on average, every 10 minutes, and 10 units can be received every hour. What are λ\lambdaλ and μ\muμ ?

Give examples of systems you have seen in which a) blocked arrivals are cleared, and b) there is a finite calling population.

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

Decision makers in queuing situations attempt to balance

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

Little's flow equations

How can a system be changed to improve the service rate?

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

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

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

The assumption of exponentially distributed service times indicates that

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

For an M/G/1 system with λ\lambdaλ = 20 and μ\muμ = 35, with σ\sigmaσ = .005, find a.the probability the system is idle. b.the average length of the queue. c.the average number in the system.

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

In waiting line systems where the length of the waiting line is limited, the mean number of units entering the system might be less than the arrival rate.

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 Problems

Integer Linear Programming

Nonlinear Optimization Models

Project Scheduling: Pertcpm

Inventory Models

Simulation

Decision Analysis

Multicriteria Decisions

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

For all waiting lines, P₀ + P_w = 1.

In a waiting line situation, arrivals occur, on average, every 10 minutes, and 10 units can be received every hour. What are $\lambda$ and $\mu$ ?

For an M/G/1 system with $\lambda$ = 20 and $\mu$ = 35, with $\sigma$ = .005, find a.the probability the system is idle. b.the average length of the queue. c.the average number in the system.