Prove that this network is non-blocking

Assignment Help Basic Computer Science
Reference no: EM131086085

In Figure 1.4, observe that the paths from input 000 to output 111 and from input 101 to output 110 have a common edge. Therefore, simultaneous transmission over these paths is not possible; one path blocks another. Hence, the Omega and Butterfly networks are classified as blocking interconnection networks.

Let Π (n) be any permutation on {0 . . .n-1}, mapping the input domain to the output range. A non-blocking interconnection network allows simultaneous transmission from the inputs to the outputs for any permutation.

Consider the network built as follows. Take the image of a butterfly in a vertical mirror, and append this mirror image to the output of a butterfly. Hence, for n inputs and outputs, there will be 2log2n stages. Prove that this network is non-blocking.

33_07e5ed45-a38b-4aa9-acf1-b508fac9a58b.png

Reference no: EM131086085

Questions Cloud

Digital media tool-audio : Audio recordings can stand alone, such as a podcast or music clip, or be added to video or static graphics/text. Explore the Internet and find a free or low-cost tool (i.e., software, application) that can be used to record an audio clip that woul..
Brainstorming process for final project : The topic for this is best practices for creating a network diagram. Begin the brainstorming process for final project. This is not the final project just answer the following questions:
What are the marginal tax rates faced by the two families : Suppose the income tax rate is 10 percent on the first $10,000; 10 percent on the next $20,000; 20 percent on the next $20,000; 30 percent on the next $20,000; and 40 percent on all income above $70,000. Family A has income of $82,000 while Family B ..
Prove that this network is non-blocking : Consider the network built as follows. Take the image of a butterfly in a vertical mirror, and append this mirror image to the output of a butterfly. Hence, for n inputs and outputs, there will be 2log2n stages. Prove that this network is non-bloc..
Competitive market surplus : Competitive Market Surplus. Suppose demand and supply conditions in the competitive market for unskilled labor are as follows: P = $15 ? 0.3QD (Demand) P = $3 + $0.1QS (Supply) where Q is millions of hours of unskilled labor and P is the wage rate pe..
Calculate and display the bill : Write a program to do the following. Ask the user which type the customer it is and how many gallons of water have been used. Calculate and display the bill.
The new rule fully in effect-value of consumer surplus : Assume that the market for beef in a small and isolated community is described by the following two equations: Q = -150 +150*P and Q = 600, where Q represents quantity and P is price. Similarly, assume that the market for beef is described by the fol..

Reviews

Write a Review

 

Basic Computer Science Questions & Answers

  Explain finding a feasible assignment as a shortest path

We say that a course assignment is a feasible assignment if every faculty member teaches either their first or second choice course. Formulate the problem of finding a feasible assignment as a shortest path, max flow, or min-cost flow problem.

  Write a function named getrandomaverage

Write a function named "getRandomAverage" that uses a "for" loop to compute the average of random numbers. The function receives the quantity of numbers to be averaged and returns the average of all thevalues. It does not print any output from within..

  The cohesion and convergence of the european union

Let's talk about the Cohesion and Convergence of the European Union. The effects of enlargement Socio-economic supports

  How computer system compares to state-of-the-art system

Write down 350- to 700-word paper in APA format which addresses the following items: How computer system compares to state-of-the-art system.

  Identify the java-based technologies utilized

Five hundred words discussion paper. Identify the Java-based technologies utilized in this project and analyze each of them. Then, provide discussion on the purpose of each of the Java-based technologies utilized.

  Requirements and assumptions for new interface design

You are to prepare the project scope and initial requirements and assumptions for a new Interface Design project for the Museum Guided Exhibition as outlined in the Museum Guided Exhibition problem case study.

  Utility auditing program based

Design, implement, test, and debug a Visual Basic® program to create an enhanced home utility auditing program

  Explain what occurs if instruction going through pipeline-lb

Consider processor with six stages: IF(instruction fetch), DA(instruction decode), CO(calculate operands addresses), FO(fetch operands), EX(instruction execution), WB(write results). Explain briefly what occurs in each stage when instruction going ..

  In what ways does it planning help managers exercise

In what ways does IT planning help managers exercise control in a situation? Does IT impact the truck driver of a company who delivers supplies to its customer?

  Define an information systems security policy

Part 1: define an information systems security policy framework for an it infrastructure

  Write program that will calculate square and cube of numbers

Write a program that will calculate square and cube of numbers ranging from 0 to 10. Print the output like the following table (hint: use for loop, to print as a table use printf formatting for width).

  Can either of these fields be a random number

In the text, these fields were sequentially incremented. Can either of these fields be a random number?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd