Utilization of 100% is necessary for a queuing system to reach a steady state. Q

Question

Utilization of 100% is necessary for a queuing system to reach a steady state.

Question 16 options:

2) False

The number of servers, c, in a multiple-server queuing system must be greater than the average queue length.

Question 18 options:

2) False

Customers may be served:

Question 19 options:

1)

2)

3)

4)

All of these

Question 20 (1 point)

A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the negative exponential distribution.


The average time a customer can expect to wait in line is:

Question 20 options:

1)

2)

3)

4)

18 minutes.

A manager is trying to improve a single-server queueing system through automation. The average service time is 20 minutes per customer, exponentially distributed, and the arrival rate is 16 customers per 8-hour day (Poisson arrivals). The automated system will have a constant service time of 16 minutes. The effect of this change will:

Question 21 options:

1)

2)

3)

4)

have no effect since the service time is unchanged.

The local grocery store consists of two cashiers. The customers arrive at the checkout according to the Poisson distribution and the service times are based on negative exponential distribution. The average customer service time is 4 minutes and the average time between the arrivals of successive customers is 3 minutes. Assume that customers equally divide themselves between the two cashiers.


What is the probability that there are no customers in the grocery store?

Question 25 options:

1)

2)

3)

4)

.333

At Joe's Pool Hall they rent tables by the hour and also rent Balabushka pool cues for purists that can't afford their own. The rental process for these cues is exhaustive and takes an hour and a half for each application. There are three leasing agents that conduct these interviews, and on average, it is one hour between customer arrivals.


What is the likelihood there are more than three customers in the system?

Question 26 options:

1)

2)

3)

4)

1) True

2) False

The number of servers, c, in a multiple-server queuing system must be greater than the average queue length.

Question 18 options:

1) True

2) False

Customers may be served:

Question 19 options:

1)

according to a number assigned to each item.

2)

on a first-come-first-serve basis.

3)

on a last-come-first-serve basis.

4)

All of these

Question 20 (1 point)

A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the negative exponential distribution.


The average time a customer can expect to wait in line is:

Question 20 options:

1)

60 minutes.

2)

30 minutes.

3)

36 minutes.

4)

18 minutes.

A manager is trying to improve a single-server queueing system through automation. The average service time is 20 minutes per customer, exponentially distributed, and the arrival rate is 16 customers per 8-hour day (Poisson arrivals). The automated system will have a constant service time of 16 minutes. The effect of this change will:

Question 21 options:

1)

decrease utilization.

2)

increase waiting time.

3)

decrease waiting time.

4)

have no effect since the service time is unchanged.

The local grocery store consists of two cashiers. The customers arrive at the checkout according to the Poisson distribution and the service times are based on negative exponential distribution. The average customer service time is 4 minutes and the average time between the arrivals of successive customers is 3 minutes. Assume that customers equally divide themselves between the two cashiers.


What is the probability that there are no customers in the grocery store?

Question 25 options:

1)

.667

2)

.5

3)

.166

4)

.333

At Joe's Pool Hall they rent tables by the hour and also rent Balabushka pool cues for purists that can't afford their own. The rental process for these cues is exhaustive and takes an hour and a half for each application. There are three leasing agents that conduct these interviews, and on average, it is one hour between customer arrivals.


What is the likelihood there are more than three customers in the system?

Question 26 options:

1)

24%

2)

76%

3)

12%

4)

88%

Explanation / Answer

Utilization of 100% is necessary for a queuing system to reach a steady state.

Question 16 options:

2) False

The number of servers, c, in a multiple-server queuing system must be greater than the average queue length.

Question 18 options:

2) False

Customers may be served:

Question 19 options:

1)

2)

3)

4)

All of these

Question 20 (1 point)

A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the negative exponential distribution.


The average time a customer can expect to wait in line is:

Question 20 options:

1)

2)

3)

4)

18 minutes.

A manager is trying to improve a single-server queueing system through automation. The average service time is 20 minutes per customer, exponentially distributed, and the arrival rate is 16 customers per 8-hour day (Poisson arrivals). The automated system will have a constant service time of 16 minutes. The effect of this change will:

Question 21 options:

1)

2)

3)

4)

have no effect since the service time is unchanged.

The local grocery store consists of two cashiers. The customers arrive at the checkout according to the Poisson distribution and the service times are based on negative exponential distribution. The average customer service time is 4 minutes and the average time between the arrivals of successive customers is 3 minutes. Assume that customers equally divide themselves between the two cashiers.


What is the probability that there are no customers in the grocery store?

Question 25 options:

1)

2)

3)

4)

.333

At Joe's Pool Hall they rent tables by the hour and also rent Balabushka pool cues for purists that can't afford their own. The rental process for these cues is exhaustive and takes an hour and a half for each application. There are three leasing agents that conduct these interviews, and on average, it is one hour between customer arrivals.


What is the likelihood there are more than three customers in the system?

Question 26 options:

1)

2)

3)

4)

1) True

2) False

The number of servers, c, in a multiple-server queuing system must be greater than the average queue length.

Question 18 options:

1) True

2) False

Customers may be served:

Question 19 options:

1)

according to a number assigned to each item.

2)

on a first-come-first-serve basis.

3)

on a last-come-first-serve basis.

4)

All of these

Question 20 (1 point)

A single-server waiting line system has an arrival pattern characterized by a Poisson distribution with 3 customers per hour. The average service time is 12 minutes. The service times are distributed according to the negative exponential distribution.


The average time a customer can expect to wait in line is:

Question 20 options:

1)

60 minutes.

2)

30 minutes.

3)

36 minutes.

4)

18 minutes.

A manager is trying to improve a single-server queueing system through automation. The average service time is 20 minutes per customer, exponentially distributed, and the arrival rate is 16 customers per 8-hour day (Poisson arrivals). The automated system will have a constant service time of 16 minutes. The effect of this change will:

Question 21 options:

1)

decrease utilization.

2)

increase waiting time.

3)

decrease waiting time.

4)

have no effect since the service time is unchanged.

The local grocery store consists of two cashiers. The customers arrive at the checkout according to the Poisson distribution and the service times are based on negative exponential distribution. The average customer service time is 4 minutes and the average time between the arrivals of successive customers is 3 minutes. Assume that customers equally divide themselves between the two cashiers.


What is the probability that there are no customers in the grocery store?

Question 25 options:

1)

.667

2)

.5

3)

.166

4)

.333

At Joe's Pool Hall they rent tables by the hour and also rent Balabushka pool cues for purists that can't afford their own. The rental process for these cues is exhaustive and takes an hour and a half for each application. There are three leasing agents that conduct these interviews, and on average, it is one hour between customer arrivals.


What is the likelihood there are more than three customers in the system?

Question 26 options:

1)

24%

2)

76%

3)

12%

4)

88%

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