Question 1

A customer population is called finite when the number of potential new customers is affected by the number of customers already in the system.

Accepted Answer

A finite customer population means that the number of potential new customers is limited by the number of customers already in the system. This is in contrast to an infinite customer population, where the number of potential new customers is not affected by the number of customers already in the system.

Question 2

Reneging occurs when a customer enters a waiting line but decides to exit before being served.

Accepted Answer

Reneging refers to the situation where a customer joins a line but leaves before actually receiving service.

Question 3

For a single-line, multi-server, single-phase waiting line system, where $\lambda$ represents the mean arrival rate of customers and $\mu$ represents the mean service rate for each of s identical servers, what is the formula for the average utilization of the system?
A) $\lambda$ / $\mu$
B) $\lambda$ / ($\mu$ - $\lambda$)
C) $\lambda$ / s $\mu$
D) s / ($\mu$ - $\lambda$)
E) $\lambda$ / s ($\mu$ - $\lambda$)

Accepted Answer

The average utilization of the system, denoted as ρ, is calculated as the ratio of the mean arrival rate (λ) to the combined service rate of all servers (sμ), which is λ / (sμ).

Question 4

Implementing process improvements or dedication of additional resources is one way to improve:
A) priority rule applications
B) the number of lines required
C) server efficiency
D) service facilities
E) arrival rates

Accepted Answer

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Question 5

Walking occurs when a customer decides not to enter the waiting line.

Accepted Answer

Walking occurs when a customer leaves the line or decides not to join the line because it is too long, not when they decide not to enter the waiting line initially.

Question 6

Most larger-scale waiting line systems use ________ simulation.
A) finite queue
B) finite customer
C) nonexponential arrival
D) discrete-event
E) multi-phase

Accepted Answer

Discrete-event simulation is best suited for larger-scale waiting line systems as it models the system as a series of discrete events, such as the arrival and service times of customers, and can handle complex interactions between different components of the system. It is also flexible and allows for changes to be made in the model to test different scenarios and optimize system performance.

Question 7

Which system performance option to change a waiting line system is related to the concept of division of labor?
A) changing the priority rule
B) changing the number of lines
C) changing the number of phases
D) changing customer arrival rates
E) changing the number of service facilities

Accepted Answer

Division of labor involves breaking down a process into smaller phases or tasks that can be performed by different individuals or resources. Changing the number of phases in a waiting line system can be related to the concept of division of labor, as it can optimize the work allocation and improve efficiency in the system. This can be achieved by analyzing the current process and identifying opportunities to divide it into smaller, manageable phases. Changing the other performance options listed may have an impact on the waiting line system, but they are not directly related to the concept of division of labor.

Question 8

Assume you have a single channel, single server, and single phase queue. Mean arrival rate is 80/hr and system capacity is 100/hr. What is the average number of customers in the system?
A) 2
B) 8
C) 4
D) 80
E) 0

Accepted Answer

80 / 100 - 80 = 80 / 20 = 4

Question 9

A waiting line occurs whenever there is less customer demand for a service than can be provided.

Accepted Answer

A waiting line occurs when there is more customer demand for a service than can be provided, resulting in customers having to wait in line for their turn.

Question 10

Consider a single-server queuing system (with Poisson arrivals and exponential service times). If the arrival rate is 30 units per hour, and each customer takes 30 seconds on average to be served, what is the average length of the line?
A) 1.03
B) -1.03
C) 0.166
D) 0.333
E) 0.083

Accepted Answer

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Question 11

Customers in a grocery store would be considered a finite customer population.

Accepted Answer

Customers in a grocery store are considered an infinite customer population because the potential number of customers is not fixed and can vary widely over time.

Question 12

Consider a single-line, single-server waiting line system. The arrival rate ? is 40 people per hour, and the service rate µ is 80 people per hour. What is the average number of customers in line?
A) 0.5
B) 0.025
C) 1.0
D) 0.0125
E) 20.0

Accepted Answer

40 / 80 = 1 / 2 = .5

Question 13

Consider a single-server queuing system. If the arrival rate is 45 customers per hour and it takes 1 minute on average to serve a customer, what is the average waiting time in the waiting line in minutes?
A) 3
B) 0.05
C) 4
D) 1.02
E) -1.02

Accepted Answer

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Question 14

Vacillating occurs when a customer enters one line and then switches to a different line in an effort to reduce his or her waiting time.

Accepted Answer

Vacillating refers to being indecisive or wavering between different opinions or actions, not specifically to the behavior of switching lines to reduce waiting time.

Question 15

From an operations view point, single-phase systems operators must:
A) have greater skills
B) adjust their work schedules
C) be capable of multi-tasking customers
D) be unionized
E) be competitive

Accepted Answer

Single-phase systems are typically smaller systems that require quick thinking and problem-solving skills from their operators. Therefore, operators of single-phase systems must have greater skills to manage these systems effectively.

Question 16

Visitors to a major amusement park would be considered a finite customer population.

Accepted Answer

A major amusement park typically has a potentially unlimited number of visitors over time, as new people can always decide to visit, making the customer population effectively infinite for modeling purposes.

Question 17

Customers walk into a bank at an average rate of 20 per hour. On average, there are 5 people waiting in line to be served. How long does the average customer wait in line?
A) 15 minutes
B) 0.25 minutes
C) 4 minutes
D) 3 minutes
E) 8 minutes

Accepted Answer

W = 1 / $\mu$-$\lambda$= 1 / 20 - 5 = 1 / 15

Question 18

The two elements that define a waiting line system are (1) the population source of its customers and (2) the process or service system itself.

Accepted Answer

This statement is true as the population source of customers and the service process are the two main components of a waiting line system. The customers may come from various sources, such as walk-ins or appointments, while the process may involve one or more servers and different service strategies.

Question 19

Consider a single-line, single-server waiting line system. The arrival rate λ is 80 people per hour, and the service rate μ is 120 people per hour. What is the probability of having 3 or more units in the system?
A) 29.63%
B) 33.33%
C) 0.00%
D) 9.88%
E) 66.67%

Accepted Answer

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Question 20

A customer population is called finite when the number of potential new customers is not affected by the number of customers already in the system.

Accepted Answer

A customer population is called finite when the total number of potential customers is limited or fixed, not when it's unaffected by the number of current customers.

Quiz 19: Waiting Line Models

A customer population is called finite when the number of potential new customers is affected by the number of customers already in the system.

Reneging occurs when a customer enters a waiting line but decides to exit before being served.

For a single-line, multi-server, single-phase waiting line system, where $\lambda$ represents the mean arrival rate of customers and $\mu$ represents the mean service rate for each of s identical servers, what is the formula for the average utilization of the system?

Implementing process improvements or dedication of additional resources is one way to improve:

Walking occurs when a customer decides not to enter the waiting line.

Most larger-scale waiting line systems use ________ simulation.

Which system performance option to change a waiting line system is related to the concept of division of labor?

Assume you have a single channel, single server, and single phase queue. Mean arrival rate is 80/hr and system capacity is 100/hr. What is the average number of customers in the system?

A waiting line occurs whenever there is less customer demand for a service than can be provided.

Consider a single-server queuing system (with Poisson arrivals and exponential service times) . If the arrival rate is 30 units per hour, and each customer takes 30 seconds on average to be served, what is the average length of the line?

Customers in a grocery store would be considered a finite customer population.

Consider a single-line, single-server waiting line system. The arrival rate ? is 40 people per hour, and the service rate µ is 80 people per hour. What is the average number of customers in line?

Consider a single-server queuing system. If the arrival rate is 45 customers per hour and it takes 1 minute on average to serve a customer, what is the average waiting time in the waiting line in minutes?

Vacillating occurs when a customer enters one line and then switches to a different line in an effort to reduce his or her waiting time.

From an operations view point, single-phase systems operators must:

Visitors to a major amusement park would be considered a finite customer population.

Customers walk into a bank at an average rate of 20 per hour. On average, there are 5 people waiting in line to be served. How long does the average customer wait in line?

The two elements that define a waiting line system are (1) the population source of its customers and (2) the process or service system itself.

Consider a single-line, single-server waiting line system. The arrival rate λ is 80 people per hour, and the service rate μ is 120 people per hour. What is the probability of having 3 or more units in the system?

A customer population is called finite when the number of potential new customers is not affected by the number of customers already in the system.

Quiz 19: Waiting Line Models

A customer population is called finite when the number of potential new customers is affected by the number of customers already in the system.

Reneging occurs when a customer enters a waiting line but decides to exit before being served.

For a single-line, multi-server, single-phase waiting line system, where λ\lambdaλ represents the mean arrival rate of customers and μ\muμ represents the mean service rate for each of s identical servers, what is the formula for the average utilization of the system?

Implementing process improvements or dedication of additional resources is one way to improve:

Walking occurs when a customer decides not to enter the waiting line.

Most larger-scale waiting line systems use ________ simulation.

Which system performance option to change a waiting line system is related to the concept of division of labor?

Assume you have a single channel, single server, and single phase queue. Mean arrival rate is 80/hr and system capacity is 100/hr. What is the average number of customers in the system?

A waiting line occurs whenever there is less customer demand for a service than can be provided.

Consider a single-server queuing system (with Poisson arrivals and exponential service times) . If the arrival rate is 30 units per hour, and each customer takes 30 seconds on average to be served, what is the average length of the line?

Customers in a grocery store would be considered a finite customer population.

Consider a single-line, single-server waiting line system. The arrival rate ? is 40 people per hour, and the service rate µ is 80 people per hour. What is the average number of customers in line?

Consider a single-server queuing system. If the arrival rate is 45 customers per hour and it takes 1 minute on average to serve a customer, what is the average waiting time in the waiting line in minutes?

Vacillating occurs when a customer enters one line and then switches to a different line in an effort to reduce his or her waiting time.

From an operations view point, single-phase systems operators must:

Visitors to a major amusement park would be considered a finite customer population.

Customers walk into a bank at an average rate of 20 per hour. On average, there are 5 people waiting in line to be served. How long does the average customer wait in line?

The two elements that define a waiting line system are (1) the population source of its customers and (2) the process or service system itself.

Consider a single-line, single-server waiting line system. The arrival rate λ is 80 people per hour, and the service rate μ is 120 people per hour. What is the probability of having 3 or more units in the system?

A customer population is called finite when the number of potential new customers is not affected by the number of customers already in the system.

For a single-line, multi-server, single-phase waiting line system, where $\lambda$ represents the mean arrival rate of customers and $\mu$ represents the mean service rate for each of s identical servers, what is the formula for the average utilization of the system?