Consider the following queueing system. In this system, arrivals and departures are according to Poisson distribution...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the following queueing system. In this system, arrivals and departures are according to Poisson distribution with average arrival rate A, and departure rate u, for Queue i, where i = 1,2,3. These three queues are independent from each other. Assume that the arrival rates are; A₁ = 2, A2 = 4, A3 = 4 packets/second, and the departure rates are; μ1 = 10, μ² = 5, μ3 = 5 packets/second. M A3 Queue 1 Queue 2 Queue 3 H₂ H₂ H3 (a) What is the probability that Queue 1, Queue 2, and Queue 3 have N₁-3, N2=2, and N3=10 packets, respectively? (b) Assume that the maximum number of packets that all queues can have is 100 packets. What is the probability that Queue 1, Queue 2, and Queue 3 have N₁-3, N2-2, and N3-10 packets, respectively? Consider the following queueing system. In this system, arrivals and departures are according to Poisson distribution with average arrival rate A, and departure rate u, for Queue i, where i = 1,2,3. These three queues are independent from each other. Assume that the arrival rates are; A₁ = 2, A2 = 4, A3 = 4 packets/second, and the departure rates are; μ1 = 10, μ² = 5, μ3 = 5 packets/second. M A3 Queue 1 Queue 2 Queue 3 H₂ H₂ H3 (a) What is the probability that Queue 1, Queue 2, and Queue 3 have N₁-3, N2=2, and N3=10 packets, respectively? (b) Assume that the maximum number of packets that all queues can have is 100 packets. What is the probability that Queue 1, Queue 2, and Queue 3 have N₁-3, N2-2, and N3-10 packets, respectively?
Expert Answer:
Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
Posted Date:
Students also viewed these operating system questions
-
In Business leadership, what are the process of servant leadership; democratic leadership; and enlightened leadership?
-
The purpose of this programming project is to gain some experience involving the design of a few OS components by simulation. These components include CPU management and scheduling, process...
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
Vito Co.'s next dividend is expected to be $4.50. Dividend growth is estimated at 20%, 15%, 8% for the following three years, and then stabilize to 2%. How much are you willing to pay to buy one...
-
Why are many different versions of UNIX currently available? In what ways is this diversity an advantage to UNIX? In what ways is it a disadvantage?
-
1. Using the sales forecasts for Tysabri presented in Exhibit A, and using the discounted cash flow model presented in Exhibit B, what do you think Elan is worth? 2. What other considerations do you...
-
What is a Wohler curve?
-
Your company is running an audit on the Sleaze Company. Because Sleaze has a bad habit of overcharging its customers, the focus of your audit is on checking whether the billing amounts on its...
-
2. Write a program in python to get the number from the user using GUI. Use 2 command buttons one to check whether the number is an amstrong number If the given number is a amstrong, display it is a...
-
The duration of the project below is 20 days but it needs to be crashed by 1 day: Key: Label Dur EF LF 5 6 10 6 6 12 12 9 E 10 12 12 20 8 12 20 Activity e co o o khi khi A TOBY D E F Cost Slope 8...
-
How do they make money (list all the sources)- In terms everyone in class can understand? What are their key ratios: Pick 3 of the following and describe what the ratio is in terms everyone can...
-
A department store charges 12% interest on the unpaid balance of customer charge accounts. A customer owes $140, and the bill goes unpaid for 4 months. How much will the customer have to repay after...
-
Running a Profit and Loss report every month and saving them as custom reports to collate them later Running a Profit and Loss report every month and keeping a spreadsheet of the figures Running a...
-
Bob Bell and Carrie Norris are senior vice presidents of the Mutual Money Investment Bank of New York. They are co-heads of the company's investment securities underwriting division. A large new...
-
Return on Investment (ROI) with the following information Current stock price: $45/share Original purchase price: $38/share Dividends received during the year: $2/share Discount brokerage fee: $9...
-
You have just graduated from Niagara College having successfully completed all the requirements of the schools Human Resources program. You are overjoyed that a company in the region hires you as...
-
Calculate the electrical conductivity of a fiber-reinforced polyethylene part that is reinforced with 20 vol % of continuous, aligned nickel fibers.
-
Reconsider Prob. 19.2-5. (a) Formulate a linear programming model for finding an optimal policy.
-
Consider the following problem. Maximize Z = x1 + 2x2, Subject to x1 + x2 = 8 and x1 0, x2 0.
-
Silicon Dynamics has developed a new computer chip that will enable it to begin producing and marketing a personal computer if it so desires. Alternatively, it can sell the rights to the computer...
-
Eq. 7.36a is written for the conservation of momentum in y direction. Obtain Eq. 7.36-b wherein the stream function is independent variable. Eq. 7.36(a,b) y - v v +(1-y/R)v- + momentum: u u R-y + R P...
-
Using Maslen method, find the approximate value of pressure and density at the junction of the sphere and the cone of Problem 7.29 at Mach number 8. Problem 7.29 An empirical way to determine shock...
-
Show that the derivative of the boundary layer edge velocity is given by Eq. 7.64 for the figure given below. Eq. 7.64 M>>1 Ue dx R dy/dx = 1/R
Study smarter with the SolutionInn App