Question 1

When blocked customers are cleared,an important decision is how many servers to provide.

Accepted Answer

A) True 
 B)False

Question 2

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 3

For a single-channel 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 4

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

Accepted Answer

A) True 
 B)False

Question 5

Diagram the servers and arrivals in the single- and multiple-channel models.Designate the line and the system.

Accepted Answer

The answer of Diagram the servers and arrivals in the...

Question 6

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 7

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 F1F1F1S1F1F1F10 3)= 1 F1F1F1S1

Question 8

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

Accepted Answer

A) True 
 B)False

Question 9

Waiting line models describe the transient-period operating characteristics of a waiting line.

Accepted Answer

A) True 
 B)False

Question 10

Quick Clean Rooter cleans out clogged drains.Due to the competitive nature of the drain cleaning business,if a customer calls Quick Clean and finds the line busy,they immediately try another company and Quick Clean loses the business.
Quick Clean management estimates that on the average,a customer tries to call Quick Clean every three minutes and the average time to take a service order is 200 seconds.The company wishes to hire enough operators so that at most 4% of its potential customers get the busy signal.
a.How many operators should be hired to meet this objective?
b.Given your answer to a), what is the probability that all the operators are idle?

Accepted Answer

a.k = 4; P

Question 11

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

Accepted Answer

A) True 
 B)False

Question 12

The post office uses a multiple-server queue,where customers wait in a single line for the first available window.If the average service time is 1 minute and the arrival rate is 7 customers every five minutes,find,when two service windows are open,
a.the probability both windows are idle.
b.the probability a customer will have to wait.
c.the average time a customer is in line.
d.the average time a customer is in the post office.

Accepted Answer

a.P₀ = .1765 b.P_w = .5

Question 13

Operating characteristics formulas for the single-channel queue do not require

Accepted Answer

A) F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 F1F1F1S1F1F1F10. 
B) Poisson distribution of arrivals. 
C) an exponential distribution of service times. 
D) an FCFS queue discipline. 
A) F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 F1F1F1S1F1F1F10. 
B) Poisson distribution of arrivals. 
C) an exponential distribution of service times. 
D) an FCFS queue discipline.

Question 14

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 15

The postmaster at the Oak Hill Post Office expects the mean arrival rate of people to her customer counter will soon increase by fifty percent due to a large apartment complex being built.Currently,the mean arrival rate is 15 people per hour.The postmaster can serve an average of 25 people per hour.By what percentage must the postmaster's mean service rate increase when the apartment complex is completed in order that the average time spent at the post office remains at its current value?

Accepted Answer

The answer of The postmaster at the Oak Hill Post...

Question 16

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 server. 
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 server. 
D) the mean number of arrivals per time period.

Question 17

For an M/G/1 system with F1F1F1S1F1F1F10 = 20 and F1F1F1S1F1F1F10 = 35,with F1F1F1S1F1F1F10 = .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 18

The Sea View Resort uses a multiple-server 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.F1F1F1S1F1F1F10 and F1F1F1S1F1F1F10.
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.F1F1F1S1F1F1F10 = 12 per ho

Question 19

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 20

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

When blocked customers are cleared,an important decision is how many servers to provide.

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

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

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

Diagram the servers and arrivals in the single- and multiple-channel models.Designate the line and the system.

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

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

Waiting line models describe the transient-period operating characteristics of a waiting line.

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

Operating characteristics formulas for the single-channel queue do not require

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

For an M/G/1 system with  = 20 and  = 35,with  = .005,find a.the probability the system is idle. b.the average length of the queue. c.the average number in the system.

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

Introduction

Introduction to Probability

Probability Distributions

Decision Analysis

Utility and Game Theory

Times Series Analysis and Forecasting

Introduction to Linear Programming

Linear Programming: Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications in Marketing, Finance, and Operations Management

Distribution and Network Models

Integer Linear Programming

Advanced Optimization Applications

Project Scheduling: Pertcpm

Inventory Models

Simulation

Markov Processes

Filters

Exam 15: Waiting Line Models

When blocked customers are cleared,an important decision is how many servers to provide.

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

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

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

Diagram the servers and arrivals in the single- and multiple-channel models.Designate the line and the system.

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

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

Waiting line models describe the transient-period operating characteristics of a waiting line.

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

Operating characteristics formulas for the single-channel queue do not require

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

For an M/G/1 system with  = 20 and  = 35,with  = .005,find a.the probability the system is idle. b.the average length of the queue. c.the average number in the system.

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

Introduction

Introduction to Probability

Probability Distributions

Decision Analysis

Utility and Game Theory

Times Series Analysis and Forecasting

Introduction to Linear Programming

Linear Programming: Sensitivity Analysis and Interpretation of Solution

Linear Programming Applications in Marketing, Finance, and Operations Management

Distribution and Network Models

Integer Linear Programming

Advanced Optimization Applications

Project Scheduling: Pertcpm

Inventory Models

Simulation

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.