We extend this study to a network with two partial concentrators. To evaluate the disturbance involved by the rerouting, the number of rearrangements needed to eliminate blocking is an interesting topic in rearrangeable clos networks. Download fulltext pdf on a class of rearrangeable networks article pdf available in ieee transactions on computers 4111. Chapter 3 rearrangeable networks in the interest of providing good telephone service with efficient connecting networks, it is essential to have at hand a knowledge of some of the combinatorial properties of such networks. If 9 is a rearrangeable network with i inputs and j outputs, if 59 rearrangeable network with k lines, and if j i, then f x x 9 is a rearrangeable network with ik lines. It is another object of the invention to provide a semi rearrangeable nonblocking algorithm for clos networks which makes full use of the network while operating in a nonblocking manner. On rearrangeable and nonblocking switching networks. If the calls come sequentially, rearrangeability means we can disconnect existing connections and. Us4988993a rearrangeable multiconnection switching.
The first stages has a plurality of switch circuits. By using signal transparent optical crossconnects, based on space and wavelength routing, a rearrangeable network topology can be. Disclosed is a onesided rearrangeable connecting network employing fewer elemental switches, or crosspoints, than prior art networks of corresponding capability. Recently, a routing algorithm, called insideout algorithm, was proposed for routing an arbitrary permutation in the omegabased 2log 2 n stage networks including the omegaomega network. A switching network where a large class of combinatorial designs which are well known in the mathematical literature are for the first time applied to advantageously define the pattern of permanent connections effected between network input channels and initial network corsspoints, illustratively by a connection arrangement of a twostage, rearrangeable network. This paper describes practical approaches for the reconfiguration phase, during which the network connection diagram is changed from an initial to a final configuration. One class of rearrangeable networks, which have been studied are clos threestage networks. Us5864552a rearrangeable nonblocking switching network. This comprehensively updated version puts more emphasis to the multicast and multirate networks which are under fast development recently due to their wide. On the rearrangeability of multistage networks employing. Rearrangeable network, permutation, interconnec tion networks. A new routing algorithm for multirate rearrangeable clos networks hung q. On routing in rearrangeable networks sciencedirect.
In 2n1stage rearrangeable networks, the routing time for any arbitrary permutation is xn2 compared to its propagation delay on only. The third stages includes a plurality of switch circuits. Multiple choice questions and answers on telecommunication. Labourdette reconfiguration phase in rearrangeable multihop lightwave networks. The rearrangeable networks are also universal networks. On multirate rearrangeable clos networks and a generalized edge coloring problem on bipartite graphs.
All extant methods for building rearrangeable networks with fewer contacts depend on lemma 3. A practical fast parallel routing architecture for clos. The introduction of wavelength division multiplexing techniques into fiber networks opens perspectives for a global transport optical telecommunication backbone. Providing the highest quality, portraitbased photography. The first edition of this book covered in depth the mathematical theory of nonblocking multistage interconnecting networks, which is applicable to both communication and computer networks. The mathematical theory of nonblocking switching networks. The number of rearrangements for clos networks new. Rearrangeable clos networks have been studied in the literature in connection with telephone switching and communication networks. Design of optical rearrangeable nonblocking mins under.
In this paper, the rearrangeability of 2s1stage networks is proved. Our goal is to take our individual areas of expertise in photography and network them together, providing our customers with the highest quality, portraitbased photography. All networks in this class are nonblocking rearrangeable. Design of optical rearrangeable nonblocking mins under various crosstalk constraints. Strictly nonblocking switching networks are suitable to be used as switches in circuit switching networks, whereas rear. On a class of rearrangeable networks ieee transactions.
Pdf onestage onesided rearrangeable switching networks. Matrixbased nonblocking routing algorithm for benes networks. The benes network is one of the dynamic interconnection networks that are good. We first study the network as a connection network and derive conditions for its rearrangeability.
Us6914902b2 distributed semirearrangeable nonblocking. This paper discusses the problems of the insideout routing algorithm and shows that the suggested condition for proper routing in the omegaomega network is insufficient. Here, we attempt to identify the sets of permutations, which are routable in on time in these networks. Cost efficient implementation of multistage symmetric.
Here, we attempt to identify the sets of permutations. We correct the results for wsw2 networks with limited inputoutput fibers derived in the paper j. In this paper we propose a new design for rearrangeable multicast switching networks, which uses the minimum number of intermediate nodes and a comparable number of switches. On the rearrangeability of some multistage connecting networks. Rearrangeable networks are switching systems capable of establishing simultaneous independent communication paths in accordance with any onetoone correspondence between their n inputs and n outputs. This is the first book to cover comprehensively the mathematical theory of nonblocking switching networks since benes book published 30 years ago.
On 3stage clos networks with different nonblocking. Rearrangeable nonblocking optical mins are feasible since they have lower complexity than their strictly nonblocking. Pdf on a class of rearrangeable networks researchgate. A class of 2 logsub b n stage networks which are equivalent to the benes networks is introduced. A rearrangeable nonblocking three stage network and method for routing one or more requests between an input stage and an output stage, comprising between 3n and substantially the next largest integer of 41ne n 16 center stage interconnection units, where n is the greater of the inlet links to the input stage and outlet links from the output stage. A necessary and sufficient condition for proper routing in. Not only is the material on the classical theory of nonblocking and rearrangeable networks updated, but the modern topics on multicast and multirate switching are also surveyed. Introduction and analysis of optimal routing algorithm in benes.
We define four classes of selfroutable permutations for benes network. On rearrangeable and nonblocking switching networks core. This class contains rearrangeable networks carrying n. A new approach for rearrangeable multicast switching networks. Note a new routing algorithm for multirate rearrangeable. Pdf a new result on rearrangeable 3stage clos networks. The second stage has a plurality of switch circuits equal to n, where n is any integer other than a power of 2 and where the switch circuits can be logically configured into a logical configuration of a power of 2. Multiple choice questions and answers on telecommunication and switching systems multiple choice questions and answers by sasmita july 23, 2017 1 if n number of users are present in a network with pointtopoint links, then how many links will be required in the network. Pdf on multirate rearrangeable clos networks and a. Rajgopal kannan submitted on 6 sep 2003, last revised 21 jun 2004 this version, v4 abstract. Us4023141a efficient onesided rearrangeable multistage.
Pdf benes networks are nonblocking rearrangeable networks that can. Computer science networking and internet architecture. Research and development initiative, chuo university, 1. Crystalline elastomers with rearrangeable networks. Say hello our name states what we are about, network photography. On the one hand, open source software and creativecommons licensing. A rearrangeable network is an interconnection network which can achieve all possible permutations of its inputs connections to its outputs. We address the design of rearrangeable multihop lightwave networks having regular connectivity topology such as perfect shuffle. Such a network consists of two symmetrical outside stages of rectangular switches, with an inner stage of. Free download networking powerpoint presentation slides. This class contains rearrangeable networks carrying. This paper investigated a rearrangeable clos network, in which blocking is eliminated by rerouting the existing connections.
Switching networks of the type used in telephone exchanges are studied, with emphasis on a particular class of networks possessing great structural symmetry. Reconfiguration phase in rearrangeable multihop lightwave. On a class of rearrangeable switching networks, part i. A network is called rearrangeable if any set of disjoint pairs of inputs and outputs can be simultaneously connected. A controloptimal rearrangeable permutation network. On a class of rearrangeable networks computers, ieee. A distributed semi rearrangeable nonblocking alogorithm for clos networks au2003233472a au2003233472a1 en. Path continuity is a major issue in some application of rearrangeable netwo. System upgrade on feb 12th during this period, ecommerce and registration of new users may not be available for up to 12 hours.
A class of 2 logsub b n stage networks which are equivalent to the benes networks is. The benes network has been used as a rearrangeable network for over. Benes networks are rearrangeable nonblocking networks and are among the most efficient switching architectures in terms of the number of switching elements ses used. In order to reduce the crosstalk effect, three approaches, time, space and wavelength dilations have. In a three stage embodiment of this invention, the first stage comprises n inputmixed rearrangeable switches connected to input terminals, the second stage comprises n onesided rearrangeable switches connected to the inputmixed. This class is referred as threestage clos networks. With a static network, links between nodes are unchangeable and. Rearrangeable threestage interconnection networks and their. Rearrangeable threestage interconnection networks and. On rearrangeable multirate threestage clos networks. Benes networks are nonblocking rearrangeable networks that can realize arbitrary permutations without conflict. Us6343075b1 rearrangeable switch having a nonpower of.
The onestage onesided rearrangeable switching networks have been discussed by mitchell and wild 6. Fast reconfiguration algorithms for time, space, and. Ngo computer science and engineering department nmvl, 201 bell hall, state universityof new york at bualo, amherst, ny 14260, usa received 22 may 2002. Rearrangeable networks with limited depth nicholas pippenger harvey mudd college andrew c.
743 675 652 1316 2 413 1532 461 1181 612 1283 1436 816 744 1506 464 718 264 404 891 1106 1549 830 264 1586 367 1193 1242 896 459 1013 682