# Brs Mdm3 Tif Ch09

**Topics:**Queueing theory, Poisson distribution, Exponential distribution

**Pages:**27 (2979 words)

**Published:**January 11, 2015

Managerial Decision Modeling w/ Spreadsheets, 3e (Balakrishnan/Render/Stair) Chapter 9 Queuing Models

9.1 Chapter Questions

1) Reneging refers to customers who:

A) do not join a queue

B) switch queues

C) join a queue but abandon their shopping carts before checking out D) join a queue but are dissatisfied

E) join a queue and complain because of long lines

Answer: C

Page Ref: 371

Topic: Characteristics of a Queuing System

Difficulty: Moderate

2) This queuing system configuration is referred to as a:

A) single-server, multiphase system

B) multiple-server, multiphase system

C) multiple-server, single-phase system

D) single-server, single-phase system

E) single-server, parallel phase system

Answer: D

Page Ref: 373

Topic: Characteristics of a Queuing System

Difficulty: Moderate

3) This queuing system configuration is referred to as a:

A) single-server, multiphase system

B) multiple-server, multiphase system

C) multiple-server, single-phase system

D) single-server, single-phase system

E) single-server, parallel phase system

Answer: C

Page Ref: 373

Topic: Characteristics of a Queuing System

Difficulty: Moderate

4) The average time each customer spends in the queue is referred to as: A) W

B) Wq

C) L

D) Lq

E) ρ

Answer: B

Page Ref: 377

Topic: Single-Server Queuing System With Poisson Arrivals and Exponential Service Times (M/M/1 Model) Difficulty: Moderate

5) In a drive-in fast food restaurant, customers form a single lane, place their order and pay their bill at one window, and then pick up their food at a second window. This queuing configuration is referred to as: A) single-server, multiphase system

B) multiple-server, multiphase system

C) multiple-server, single-phase system

D) single-server, single-phase system

E) single-server, parallel phase system

Answer: A

Page Ref: 373

Topic: Characteristics of a Queuing System

Difficulty: Moderate

6) A beauty salon employs three hairdressers. All customers get their hair washed in one area of the salon before being taken to another area to get their hair cut. Customer arrival rate and service time follows the Poisson and exponential distributions, respectively. What is the Kendall notation for this system? A) M/M/1

B) D/M/3

C) M/D/3

D) M/G/3

E) M/M/3

Answer: E

Page Ref: 383

Topic: Multiple-Server Queuing System with Poisson Arrivals and Exponential Service Times (M/M/S Model) Difficulty: Moderate

7) A service system has a constant service time, Poisson arrival rates and 1 server. What is the Kendall notation for this system? A) M/M/1

B) M/D/1

C) M/G/1

D) D/M/1

E) G/M/1

Answer: B

Page Ref: 386

Topic: Single-Server Queuing with Poisson Arrivals and Constant Service Times (M/D/1 Model) Difficulty: Moderate

8) A queuing system has an arrival rate of 5 customers per hour and a service rate of 8 customers per hour. What is the utilization factor (ρ) of the system? A) 40

B) 1.6

C) 4

D) 5

E) 0.625

Answer: E

Page Ref: 381

Topic: Single-Server Queuing System With Poisson Arrivals and Exponential Service Times (M/M/1 Model) Difficulty: Moderate

9) Customers arrive at a grocery store following a Poisson distribution at an average rate of 70 per hour. On average, how many customers arrive per minute? A) 1.2 customers per minute

B) 7 customers per minute

C) 0.86 customers per minute

D) 0.02 customers per minute

E) 0.7 customers per minute

Answer: A

Page Ref: 377

Topic: Single-Server Queuing System With Poisson Arrivals and Exponential Service Times (M/M/1 Model) Difficulty: Easy

Use this information to answer the following questions.

Number of Servers

1.0

Arrival Rate

7.00

Service Rate

10.00

P(0), probability that there are no customers in the system

30%

Lq, average length of the queue

1.63

W, average time in the system

0.33

L, average number of customers in the system

2.33

Wq, average time in the queue

0.23

Utilization factor of the system

70%...

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