Question: For the network-of-queues with probabilistic routing given in Figure 19.3, sup- pose that that each server serves at an average rate of 10 jobs/sec;

Example: Network of Queues with Probabilistic Routing This is shown in Figure 19.3. Here server i receives

For the network-of-queues with probabilistic routing given in Figure 19.3, sup- pose that that each server serves at an average rate of 10 jobs/sec; that is, p= 10, Vi. Suppose that r2 = r3= 1. Suppose that p12 = P2,out = 0.8, P23 = P13 = 0.2, P1,out= 0, and p31 = 1. What is the maximum allowable value of ry to keep this system stable? Example: Network of Queues with Probabilistic Routing This is shown in Figure 19.3. Here server i receives external arrivals ("outside arrivals") with rate r. Server i also receives internal arrivals from some of the other servers. A packet that finishes service at server i is next routed to server j with probability pij. Server 2 72 P12 Server I #1 Plout P13 PM 142 P2.out P23 Server 3 IC Figure 19.3: Network of queues with probabilistic routing.

Step by Step Solution

★★★★★

3.28 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Programming Questions!

For y f(x), the [Select] = f(a + h) - f(a) (a+h)-a Question 2 = from xa to x = a+his f(a + h) - f(a); h+0. h = For y f(x), we define the [Select] of f at x, denoted f'(x), by f'(x) = lim f(x + h)...

Use the simplex method to solve the following simplex problems. a) Maximise -5x1 x2 3x3 subject to -x14x2 + 2x3 0, 7x2 + x3 1, -2x1 x23x3 -2 X1, X2, X3 0.

What is the stocks justified trailing P/E based on the stocks value estimated by Rae? A. 5.01 B. 5.24 C. 5.27 Jacob Daniel is the chief investment officer at a U.S. pension fund sponsor and Steven...

b-1. What is the IRR of the after-tax cash flows for each company? (Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places.) IRR Company A 11.79 % $ EA...

2.1 Maxinum Outsiide Arrival Rate For the network-of-queues with robabilistic routing given in figure 2.3, suppose that each server serves at an average rate of 10 jobs/sec; that is, ? i = 10, ?i....

Submitted to Management Science manuscript MS-0001-1922.65 Authors are encouraged to submit new papers to INFORMS journals by means of a style file template, which includes the journal title....

CHA P TER 9 Understanding Software: A Primer for Managers 1. INTRODUCTION L E A R N I N G O B J E C T I V E S 1. Recognize the importance of software and its implications for the rm and strategic...

Describe how to construct the function cpo ((D E), v) of two cpos (D, vD) and (E, vE). Prove that ((D E), v) is a cpo. (You may use facts about least upper bounds provided you state them clearly.)...

Maximum Outside Arrival Rate For the network - of - queues with probabilistic routing given in Figure 2 . 3 , sup - posethateachserverservesatanaveragerateof 1 0 jobs / sec;thatis, \ mu i = 1 0 , i ....

An antenna has a radiation intensity described by the following function: = { Scos2(8) for 0 sesa and 0s a

Label the following transactions: a. A Nevada Corporation formed a corporation in Florida and transferred all assets to it for 100 percent of its stock. It then distributed the stock to its...

3. The Format menu contains options that allow you to . a. align two or more controls b. center one or more controls horizontally on the form c. make two or more controls the same size d. all of the...

Find the volume of rotated gaussian about z-axis in cylindrical poler coordinate?

True or False? The increased diffusion of information and communication\ technologies (ICT) in firms has made a decentralised organisational structure\ more efficient. As such, firms pursuing a cost...

A bundle of pipes consists of N pipes. Diameter of each pipe is d. This bundle opens into a large pipe with a diameter of D. An incompressible fluid passes through the system. Analyze this system...

"Helping a Business Owner with a Tax Problem" Kenneth, the owner of a catering company, needs business advice. He recently travelled to Massachusetts for a week for a trip and spent five days on...

When patients enter a health care facility, they are asked to sign a confidentialifyprivacy statement before treatment if they are atte to slgn. Thils form gives the patient an explanation of all his...

For the following exercises, solve a system using the inverse of a 33 matrix. 4x - 2y + 3z = -12 2x+2y-9z=33 - 4z = 1

For the following exercises, find the dimensions of the box described. The length is one inch more than the width, which is one inch more than the height. The volume is 86.625 cubic inches.

For the following exercises, explain the notation in words. The volume f(t) of a tank of gasoline, in gallons, t minutes after noon. f(30) = 0

The following is the list of activities, their immediate predecessors, and their expected duration used by a component supplier to automobile manufacturers to plan for QS 9000 (the auto industry...

The project manager of the construction of a domed stadium had hoped to be able to complete the construction prior to the start of the next season. After reviewing the activity duration estimates, it...

Construct a precedence network for each of the following two projects.