Sorting using interconnection networks, Computer Networking

The combinational circuits use the comparators for comparing the storing and number them on the basis of minimum and maximum functions. Likewise, in the interconnection networks the two processors perform the computation of minimum and maximum functions in the following way:

Let us consider there are two processors pj and pi. Each of these processors has been given as input a part of the sequence, say ej and ei. Now, the processor pi sends the element ei to pj and processor pj sends ej to pi. After that, processor pi determine the minimum of ei and ej i.e., min (ei,ej) and processor pj determine the maximum of ei and ej, i.e. max (ei,ej). The above method is called as compare-exchange and it has been depicted in the Figure .

581_Illustration of Exchange-cum-Comparison in interconnection networks.png

                                                          Illustration of Exchange-cum-Comparison in interconnection networks

 The sorting problem chosen is bubble sort and the interconnection network can be depicted as n processors interconnected with each other in the type of a linear array as given in Figure. The method adopted for solving the bubble sort is called as odd- even transposition. Suppose an input series is B=(b1, b2, b3, b4......... bn) and each number is assigned to a particular processor. In the odd-even transposition,the sorting is executed with the help of two phases known as odd phase and even phase. In the odd phase, the elements stored in (p1, p2), (p3, p4), (p5, p6)......... (pn-1, pn) are compared according to the Figure and consequently exchanged if required i.e. if they are out of sort. In the even phase, the elements stored in (p2, p3), (p4, p5), (p6, p7)......... (pn-2, pn-1) are compared according to the Figure and consequently exchanged if required, i.e. if they are out of order. keep in mind, in the even phase the elements stored in p1 and pn are not exchanged and compared. The total number of phases needed for sorting the numbers is n i.e. n/2 odd phases and n/2 even phases. The algorithmic representation of the above discussed odd- even transposition is given below:

2084_Interconnection network in the form of a Linear Array.png

                                                Interconnection network in the form of a Linear Array

Posted Date: 3/2/2013 6:51:01 AM | Location : United States

Related Discussions:- Sorting using interconnection networks, Assignment Help, Ask Question on Sorting using interconnection networks, Get Answer, Expert's Help, Sorting using interconnection networks Discussions

Write discussion on Sorting using interconnection networks
Your posts are moderated
Related Questions
Explain about the Gopher The ghoper is a protocol designed to search, retrieve and display documents from remote sites on the  Internet. The Ghoper was formed as a piece of sof

Connecting Devices of bridges - Five kinds: - Repeaters - Hubs - Bridges - Two- and three-layer switches - Repeaters and hubs - layer one of Internet model -

Question 1: Describe the following terms in your own words: a. Internet b. WWW c. Intranet

RIP It is Broadcast There is no authentication It Support FLSM   RIPV2 It is Multicast There is Authentication It Support VLSM

Question: a) Consider the following MIP scenario. Quite a few enterprise networks use private addresses and NAPT for the communication to the Internet. i. Discu

Q. Permutation representation through Matrix? Figure: Clos Network The functioning of this above permutation is displayed in Figure. This permutation is able to

A layer of a glass surrounding the center fiber of glass under a fiber-optic cable.

Categorization according to kind of instruction and data According to types of instruction and data subsequent types are identified under this classification: Scalar Pi

How does a Token-Passing Protocol works? The token-passing protocol relies on a control signal known as the token. A token is a 24-bit packet that circulates throughout the net