# Consider a single-server queuing system for which the interarrival times

Consider a single-server queuing system for which the interarrival times are exponentially

distributed. A customer who arrives and finds the server busy joins the

end of a single queue. Service times of customers at the server are also exponentially

distributed random variables. Upon completing service for a customer, the server

chooses a customer from the queue (if any) in a FIFO manner:

a. Simulate customer arrivals assuming that the mean interarrival time equals the

mean service time (e.g., consider that both of these mean values are equal to 1 min).

Create a plot of number of customers in the queue (y-axis) versus simulation time

(x-axis). Is the system stable? (Hint: Run the simulation long enough [e.g., 10,000 min]

to be able to determine whether or not the process is stable.)

b. Consider now that the mean interarrival time is 1 min and the mean service time

is 0.7 min. Simulate customer arrivals for 5000 min and calculate (i) the average

waiting time in the queue, (ii) the maximum waiting time in the queue, (iii) the

maximum queue length, (iv) the proportion of customers having a delay time in

excess of 1 min, and (v) the expected utilization of the server.

Pages (275 words)
Standard price: \$0.00

### Latest Reviews

Impressed with the sample above? Wait there is more

Related Questions

### Criminal goes to the victim’s workplace, and get the name

Criminal goes to the victim’s workplace, and get the name and ID number of their work wifi. The criminal sets up a wifi hot spot

### In you will be focusing on allowing multiple of the

In you will be focusing on allowing multiple of the four transactions listed. You will also be authenticating the user’s credentials (username and password) at

### This assignment will incorporate a common practical tool in helping clinicians begin to ethically analyze a case. Organizing the data

This assignment will incorporate a common practical tool in helping clinicians begin to ethically analyze a case. Organizing the data in this way will help

### APA formated document describing thespecificaspects from the Challenger accident that helps us better understand the importance of effective data visualization.

APA formated document, describing thespecificaspects from the Challenger accident that helps us better understand the importance of effective data visualization.Also, complete the following activity:Re-create at

### Throughout the history of modern terrorism, government officials, counterterrorism professionals,

Throughout the history of modern terrorism, government officials, counterterrorism professionals, and academic scholars have sought to understand the root motives and ideological causes, mechanisms,

### Decision to Use Strategic Cost Management Describe decisions that need to be made when a business uses strategic cost management.

Decision to Use Strategic Cost ManagementDescribe decisions that need to be made when a business uses strategic cost management.Submission Instructions:Any written explanations should use complete

### In a PowerPoint Presentation, address the following. Title Slide Introduction

In a PowerPoint Presentation, address the following. Title Slide Introduction (1 slide): Slide should identify concepts to be addressed and sections of the presentation. Include

### ENVS 3200 Assignment 1: What specific Acts, Regulations and/or Bylaws

In no more than 1200 words, please respond to the following tasks and questions. 1.       Find an environmental issue that has been reported on in

### Introduction: The California Pizza Kitchen is a popular pizza chain

Introduction: The California Pizza Kitchen is a popular pizza chain that I would guess many of you have eaten at in the past. You will

Please follow directions. Interview a fellow classmate, family member, or friend. Start with a concern that the “client” has discussed. You will work with the

### IT-related ethical issue

Describe a current IT-related ethical issue: Since this is a paper exercise, not a real-time situation, you may want to construct a brief scenario where

### Locate three peer reviewed, empirical articles related to the potential broad topic area of your dissertation.

The product of a doctoral degree is a completed and defended dissertation. To begin developing the dissertation, scholars go to the literature, synthesize the information

New questions