\(\begin{array}{l} \begin{array}{|l|l|} \hline \text { Priority }&\text { Average Arrival Rate (exponential interarrival times) }\\ \hline \text { High } & 3 \text { per hour } \\ \hline \text { Low } & 5 \text { per hour } \\ \hline \end{array} \end{array}\) \(\begin{array}{|l|l|} \hline Nurrber~ of~ servers:&5\\ \hline Service~ rate:&2~ per~ hour ~(exponential ~service~ times)\\ \hline \end{array}\) What is the system utilization factor?

A) 0.45 B) 0.50 C) 0.55 D) 0.65 E) 0.80 A) 0.45 B) 0.50 C) 0.55 D) 0.65 E) 0.80

\(\begin{array}{l} \begin{array}{|l|l|} \hline \text { Priority }&\text { Average Arrival Rate (exponential interarrival times) }\\ \hline \text { High } & 3 \text { per hour } \\ \hline \text { Low } & 5 \text { per hour } \\ \hline \end{array} \end{array}\) \(\begin{array}{|l|l|} \hline Nurrber~ of~ servers:&5\\ \hline Service~ rate:&2~ per~ hour ~(exponential ~service~ times)\\ \hline \end{array}\) What is the average time in the system (in minutes) for a high priority item?

A) 2 B) 5 C) 24 D) 35 E) 54 A) 2 B) 5 C) 24 D) 35 E) 54

Exam 11: Queueing Models

Customers arrive at a suburban ticket outlet at the rate of 14 per hour on Monday mornings (exponential interarrival times). Selling the tickets and providing general information takes an average of 3 minutes per customer, and varies exponentially. There is 1 ticket agent on duty on Mondays. How many minutes does the average customer spend in the system?

(Multiple Choice)

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Question 61

A multiple priority queueing model assumes that:

(Multiple Choice)

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Question 62

Queue discipline refers to the willingness of customers to wait in line for service.

(True/False)

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Question 63

The reason for using priorities is to decrease the waiting times for high-priority customers.

(True/False)

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Question 64

The expected waiting time in line is equal to the expected number of customers in line divided by the arrival rate.

(True/False)

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Question 65

A queueing system has four crews with three members each. The number of "servers" is:

(Multiple Choice)

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Question 66

Customers arrive at a video rental desk at the rate of one per minute (exponential interarrival times). Each server can handle 0.4 customers per minute (exponential service times). If there are 4 servers, what is the probability of three or fewer customers in the system?

(Multiple Choice)

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Question 67

Priority Average Arrival Rate (exponential interarrival times) High 3 per hour Low 5 per hour Nurrber\nobreakspaceof\nobreakspaceservers: 5 Service\nobreakspacerate: 2\nobreakspaceper\nobreakspacehour\nobreakspace(exponential\nobreakspaceservice\nobreakspacetimes) What is the system utilization factor?

(Multiple Choice)

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Question 68

Priority Average Arrival Rate (exponential interarrival times) High 3 per hour Low 5 per hour Nurrber\nobreakspaceof\nobreakspaceservers: 5 Service\nobreakspacerate: 2\nobreakspaceper\nobreakspacehour\nobreakspace(exponential\nobreakspaceservice\nobreakspacetimes) What is the average time in the system (in minutes) for a high priority item?

(Multiple Choice)

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Question 69

As the ratio of arrival rate to service rate is increased, which of the following is likely?

(Multiple Choice)

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Question 70

The lack-of-memory property refers to a customer's willingness to wait in line even though there are other customers that will be served first.

(True/False)

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Question 71

Queueing models conventionally assume that the queue can hold an unlimited number of customers.

(True/False)

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Question 72

Customers filter into a record shop at an average of 1 per minute (exponential interarrivals) where the service rate is 15 per hour (exponential service times). What is the average number of customers in the system with 8 servers?

(Multiple Choice)

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Question 73

Which of the following is not an example of a commercial service system?

(Multiple Choice)

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Question 74

Which of the following is not an assumption of a multiple priority queueing model?

(Multiple Choice)

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Question 75

For a single-server queueing system, which of the following is FALSE? I. Decreasing the variability of service times improves the performance of the system. II. Decreasing the variability of service times reduces the performance of the system. III. Increasing the variability of arrival times improves the performance of the system.

(Multiple Choice)

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Question 76

There are 5 servers in a system with an arrival rate of 6 per hour and a service time of 20 minutes. What is the system utilization?

(Multiple Choice)

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Question 77

For a single-server queueing system, which of the following is TRUE? I. A high utilization factor will result in a system that performs well. II. A high utilization factor will result in a system that performs poorly. III. A low utilization factor will result in a system that performs efficiently.

(Multiple Choice)

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Question 78

Showing 61 - 78 of 78

A multiple priority queueing model assumes that:

Queue discipline refers to the willingness of customers to wait in line for service.

The reason for using priorities is to decrease the waiting times for high-priority customers.

The expected waiting time in line is equal to the expected number of customers in line divided by the arrival rate.

A queueing system has four crews with three members each. The number of "servers" is:

Customers arrive at a video rental desk at the rate of one per minute (exponential interarrival times). Each server can handle 0.4 customers per minute (exponential service times). If there are 4 servers, what is the probability of three or fewer customers in the system?

As the ratio of arrival rate to service rate is increased, which of the following is likely?

The lack-of-memory property refers to a customer's willingness to wait in line even though there are other customers that will be served first.

Queueing models conventionally assume that the queue can hold an unlimited number of customers.

Customers filter into a record shop at an average of 1 per minute (exponential interarrivals) where the service rate is 15 per hour (exponential service times). What is the average number of customers in the system with 8 servers?

Which of the following is not an example of a commercial service system?

Which of the following is not an assumption of a multiple priority queueing model?

There are 5 servers in a system with an arrival rate of 6 per hour and a service time of 20 minutes. What is the system utilization?

For a single-server queueing system, which of the following is TRUE? I. A high utilization factor will result in a system that performs well. II. A high utilization factor will result in a system that performs poorly. III. A low utilization factor will result in a system that performs efficiently.

Introduction

Linear Programming: Basic Concepts

Linear Programming: Formulation and Applications

The Art of Modeling With Spreadsheets

What-If Analysis for Linear Programming

Network Optimization Problems

Using Binary Integer Programming to Deal With Yes-Or-No Decisions

Nonlinear Programming

Decision Analysis

Forecasting

Computer Simulation: Basic Concepts

Computer Simulation With Analytic Solver

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