Question 1

Arrival distributions for queuing models

Accepted Answer

A) Follow a normal distribution 
B) Use arbitrary but consistent time periods 
C) Follow exponential distributions 
D) Assume a non-random pattern 
A) Follow a normal distribution 
B) Use arbitrary but consistent time periods 
C) Follow exponential distributions 
D) Assume a non-random pattern B

Question 2

If the probability of no people waiting is 0.10, the probability of one person waiting is 0.09 and the probability of two people waiting is 0.08, what is the probability of three or more people waiting?

Accepted Answer

A) 0.27 
B) 0.73 
C) 0.90 
D) Cannot be determined 
A) 0.27 
B) 0.73 
C) 0.90 
D) Cannot be determined B

Question 3

A local hamburger chain is considering adding a drive-through window. They estimate that during the dinner hour, customer arrival rate will average 18 per hour and follow a Poisson distribution. Service times during this same period are estimated to follow an exponential distribution with a mean of 24 customers per hour.
a. Determine the probability that the service facility drive-through window) is idle.
b. Determine the probability of four vehicles in the system.
c. Determine the average number of vehicles waiting for service.
d. Determine the average number of vehicles in the system.
e. Determine the average time a vehicle spends waiting for service.
f. Determine the average time a vehicle spends in the system.
g. Determine the probability that an arriving vehicle has to wait for service.

Accepted Answer

a. P(0) = 1 - $\lambda$/$\mu$ = 1 - 18/24 = 0.25 b. P(4) = ($\lambda$/$\mu$ )ⁿP₀ = (18/24)⁴(.25) = .316(4.2) = 0.0791 c. L_q = $\lambda$²/$\mu$( $\mu$ - $\lambda$) = 324/24(24 - 18) = 324/144 = 2.25 vehicles d. L = L_q + $\lambda$/$\mu$= 2.25 + .75 = 3.00 vehicles e. W_q = L_q/$\lambda$ = 2.25/18 = 0.125 hours f. W = W_q + 1/$\mu$ = .125 + 1/24 = 0.167 hours g. P_w = $\lambda$/$\mu$ = 18/24 = 0.75

Question 4

A small software company hired a Customer Service Representative CSR) to handle technical support questions. It is estimated that during peak periods, the CSR would receive four 4) calls per hour and follow a Poisson distribution. Based on past experience, a CSR can handle an average of five 5) calls per hour during the same time period and follow an exponential distribution.
a. Determine the probability that the CSR is idle.
b. Determine the probability that three customers are in the system, waiting or being served
c. Determine the average number of callers waiting for service on hold).
d. Determine the average number of callers in the system.
e. Determine the average time a caller spends waiting for service on hold).
f. Determine the average time a caller spends in the system waiting time plus (service time).
g. Determine the probability that an arriving call will have to wait for service.

Accepted Answer

a. P0) = 1 - @#LAT-DLM&/@#LAT-DLM& = 1 - 4/5 = 0.20
b. P3) =

Question 5

Since most service times follow an exponential distribution, there is no need to collect data on actual service times.

Accepted Answer

A) True 
 B)False

Question 6

____ is the process of a customer evaluating the waiting line and server system and deciding not to join the queue.

Accepted Answer

A) Triage 
B) Reneging 
C) Balking 
D) Value-based queuing 
A) Triage 
B) Reneging 
C) Balking 
D) Value-based queuing

Question 7

Rules that determine the order in which arrivals are sequenced through the service system are called

Accepted Answer

A)  queuing behavior 
B)  operating characteristics 
C)  queue discipline 
D)  psychology of waiting 
A)  queuing behavior 
B)  operating characteristics 
C)  queue discipline 
D)  psychology of waiting

Question 8

The mean arrival rate is used to express demand; the mean service rate is used to express a system's capacity.

Accepted Answer

A) True 
 B)False

Question 9

Discuss the seven key assumptions for the multiple-server waiting line model.

Accepted Answer

The seven key assumptions for the multip

Question 10

Which of the following variables is ordinarily not an output of waiting line analysis?

Accepted Answer

A)  L 
B)  $\lambda$ 
C)  Pw 
D)  W 
A)  L 
B)  $\lambda$ 
C)  Pw 
D)  W

Question 11

Describe seven operating characteristics of a waiting line no formulas).

Accepted Answer

The seven operating characteristics of a

Question 12

With a restaurant as an example, discuss the psychological methods used to affect customers' perceptions of waiting to be seated, to be served, etc.).

Accepted Answer

Even though actual wait time may be 40 m

Question 13

A flower shop has one employee in the front of the store to sell flowers out of the cooler. On Saturdays customers arrive every six minutes, on average. The employee can serve a customer every five minutes, on average. The owner of the store feels that if there are more than four customers in the store at one time, additional customers may not come in because the wait appears too long.
a. What is the chance of four or more customers being in the store at one time?
b. What is the total time in minutes) a customer spends in the store?
c. What is the average number of customers in the store?

Accepted Answer

a. @#LAT-DLM& = 10/hour; @#LAT-DLM& = 12/hour
P4 (or more) =

Question 14

For the multiple-server queuing model to apply, k$\mu$ > $\lambda$.

Accepted Answer

A) True 
 B)False

Question 15

Discuss three categories of information necessary to analyze a waiting line.

Accepted Answer

To develop a queuing model, the followin

Question 16

When $\lambda$ = $\mu$, the operating characteristics are not defined, which means that these times and numbers of items grow infinitely large.

Accepted Answer

A) True 
 B)False

Question 17

In queuing models, what are "channels"?

Accepted Answer

A)  the walking paths through service systems 
B)  service phases 
C)  the number of waiting lines in a system 
D)  external sources from which customers originate 
A)  the walking paths through service systems 
B)  service phases 
C)  the number of waiting lines in a system 
D)  external sources from which customers originate

Question 18

Which of the following is not a psychological strategy for dealing with a long wait-time?

Accepted Answer

A) Distraction 
B) Telling customers the length of the wait, which allows them to decide whether to wait or to come back another time 
C) Displaying artwork 
D) Technology 
A) Distraction 
B) Telling customers the length of the wait, which allows them to decide whether to wait or to come back another time 
C) Displaying artwork 
D) Technology

Question 19

Many analytical queuing models exist, each based upon unique assumptions.

Accepted Answer

A) True 
 B)False

Question 20

The multiple-server queuing model assumes jockeying can take place.

Accepted Answer

A) True 
 B)False

Arrival distributions for queuing models

If the probability of no people waiting is 0.10, the probability of one person waiting is 0.09 and the probability of two people waiting is 0.08, what is the probability of three or more people waiting?

Since most service times follow an exponential distribution, there is no need to collect data on actual service times.

____ is the process of a customer evaluating the waiting line and server system and deciding not to join the queue.

Rules that determine the order in which arrivals are sequenced through the service system are called

The mean arrival rate is used to express demand; the mean service rate is used to express a system's capacity.

Discuss the seven key assumptions for the multiple-server waiting line model.

Which of the following variables is ordinarily not an output of waiting line analysis?

Describe seven operating characteristics of a waiting line no formulas).

With a restaurant as an example, discuss the psychological methods used to affect customers' perceptions of waiting to be seated, to be served, etc.).

For the multiple-server queuing model to apply, k $\mu$ > $\lambda$ .

Discuss three categories of information necessary to analyze a waiting line.

When $\lambda$ = $\mu$ , the operating characteristics are not defined, which means that these times and numbers of items grow infinitely large.

In queuing models, what are "channels"?

Which of the following is not a psychological strategy for dealing with a long wait-time?

Many analytical queuing models exist, each based upon unique assumptions.

The multiple-server queuing model assumes jockeying can take place.

Goods, Services, and Operations Management

Value Chains

Measuring Performance in Operations

Operations Strategy

Technology and Operations Management

Goods and Service Design

Process Selection, Design, and Analysis

Facility and Work Design

Supply Chain Design

Capacity Management

Forecasting and Demand Planning

Managing Inventories

Resource Management

Operations Scheduling and Sequencing

Quality Management

Quality Control and Spc

Lean Operating Systems

Project Management

Work Measurement, Learning Curves, and Standards

Modeling Using Linear Programming

Simulation

Work Measurement, Learning Curves, and Standards

Filters

Exam 20: Queuing Analysis

Arrival distributions for queuing models

If the probability of no people waiting is 0.10, the probability of one person waiting is 0.09 and the probability of two people waiting is 0.08, what is the probability of three or more people waiting?

Since most service times follow an exponential distribution, there is no need to collect data on actual service times.

____ is the process of a customer evaluating the waiting line and server system and deciding not to join the queue.

Rules that determine the order in which arrivals are sequenced through the service system are called

The mean arrival rate is used to express demand; the mean service rate is used to express a system's capacity.

Discuss the seven key assumptions for the multiple-server waiting line model.

Which of the following variables is ordinarily not an output of waiting line analysis?

Describe seven operating characteristics of a waiting line no formulas).

With a restaurant as an example, discuss the psychological methods used to affect customers' perceptions of waiting to be seated, to be served, etc.).

For the multiple-server queuing model to apply, k μ\muμ > λ\lambdaλ .

Discuss three categories of information necessary to analyze a waiting line.

When λ\lambdaλ = μ\muμ , the operating characteristics are not defined, which means that these times and numbers of items grow infinitely large.

In queuing models, what are "channels"?

Which of the following is not a psychological strategy for dealing with a long wait-time?

Many analytical queuing models exist, each based upon unique assumptions.

The multiple-server queuing model assumes jockeying can take place.

Goods, Services, and Operations Management

Value Chains

Measuring Performance in Operations

Operations Strategy

Technology and Operations Management

Goods and Service Design

Process Selection, Design, and Analysis

Facility and Work Design

Supply Chain Design

Capacity Management

Forecasting and Demand Planning

Managing Inventories

Resource Management

Operations Scheduling and Sequencing

Quality Management

Quality Control and Spc

Lean Operating Systems

Project Management

Work Measurement, Learning Curves, and Standards

Modeling Using Linear Programming

Simulation

Work Measurement, Learning Curves, and Standards

Filters

For the multiple-server queuing model to apply, k $\mu$ > $\lambda$ .

When $\lambda$ = $\mu$ , the operating characteristics are not defined, which means that these times and numbers of items grow infinitely large.