ON ARBITRARY SIZE WAKSMAN NETWORKS AND THEIR VULNERABILITY

2002 ◽  
Vol 12 (03n04) ◽  
pp. 287-296 ◽  
Author(s):  
B. BEAUQUIER ◽  
E. DARROT
Keyword(s):  
Fault Tolerance ◽  
Arbitrary Size ◽  
Benes Network ◽  
One To One ◽  
Permutation Networks

Motivated by problems in telecommunication satellites, we investigate rearrangeable permutation networks made of binary switches. A simple counting argument shows that the number of switches necessary to build a n × n rearrangeable networks (i.e. capable of realizing all one-to-one mappings of its n inputs to its n outputs) is at least ⌈ log 2 (n!) ⌉ = n log 2 n - n log 2 e + o(n) as n → ∞. For n = 2r, the r-dimensional Beneš network gives a solution using [Formula: see text] switches. Waksman, and independently Goldstein and Leibholz, improved these networks using n log 2 n - n + 1 switches. We provide an extension of this result to arbitrary values of n, using [Formula: see text] switches. Finally the fault-tolerance issue of these networks is discussed.

scholarly journals Construction of Minimal n-2-n Encoders for Any n

1993 ◽  
Vol 5 (5) ◽  
pp. 783-794 ◽  
Author(s):  
D. S. Phatak ◽  
H. Choi ◽  
I. Koren
Keyword(s):  
Fault Tolerance ◽  
Lower Bounds ◽  
Geometric Approach ◽  
Arbitrary Size ◽  
Necessary And Sufficient

The encoding problem (Rumelhart and McClelland 1986) is an important canonical problem. It has been widely used as a benchmark. Here, we have analytically derived minimal-sized nets necessary and sufficient to solve encoding problems of arbitrary size. The proofs are constructive: we construct n-2-n encoders and show that two hidden units are also necessary for n > 2. Moreover, the geometric approach employed is general and has much wider applications. For example, this method has also helped us derive lower bounds on the redundancy necessary for achieving complete fault tolerance (Phatak and Koren 1992a,b).

scholarly journals Improved Arbitrary size Benes Network

2012 ◽  
Vol 48 (21) ◽  
pp. 30-34
Author(s):  
Gaurav Kumar ◽  
Sandeep Sharma
Keyword(s):  
Arbitrary Size ◽  
Benes Network

Arbitrary Size Benes Networks

1997 ◽  
Vol 07 (03) ◽  
pp. 279-284 ◽  
Author(s):  
Chihming Chang ◽  
Rami Melhem
Keyword(s):  
Routing Algorithm ◽  
Arbitrary Size ◽  
Arbitrary Permutation ◽  
Benes Network ◽  
Benes Networks

The Benes network is a rearrangeable nonblocking network which can realize any arbitrary permutation. Overlall, the r-dimensional Benes network connects 2r inputs to 2r outputs through 2r - 1 levels of 2 × 2 switches. Each level of switches consists of 2r - 1 switches, and hence the size of the network has to be a power of two. In this paper, we extend Benes networks to arbitrary sizes. We also show that the looping routing algorithm used in Benes networks can be slightly modified and applied to arbitrary size Benes networks.

A Support Program

1994 ◽  
Vol 25 (2) ◽  
pp. 112-114 ◽  
Author(s):  
Henna Grunblatt ◽  
Lisa Daar
Keyword(s):  
Hearing Aids ◽  
School Counselor ◽  
Support Program ◽  
Educational Audiology ◽  
Part Program ◽  
One To One

A program for providing information to children who are deaf about their deafness and addressing common concerns about deafness is detailed. Developed by a school audiologist and the school counselor, this two-part program is geared for children from 3 years to 15 years of age. The first part is an educational audiology program consisting of varied informational classes conducted by the audiologist. Five topics are addressed in this part of the program, including basic audiology, hearing aids, FM systems, audiograms, and student concerns. The second part of the program consists of individualized counseling. This involves both one-to-one counseling sessions between a student and the school counselor, as well as conjoint sessions conducted—with the student’s permission—by both the audiologist and the school counselor.

Review of One to One: The Experience of Psychotherapy.

1989 ◽  
Vol 34 (10) ◽  
pp. 958-958
Author(s):  
No authorship indicated
Keyword(s):  
One To One

Influence of Rim Run-Out on the Nonuniformity of Tire-Wheel Assemblies

1994 ◽  
Vol 22 (2) ◽  
pp. 99-120 ◽  
Author(s):  
T. B. Rhyne ◽  
R. Gall ◽  
L. Y. Chang
Keyword(s):  
Finite Element ◽  
Radial Force ◽  
Membrane Model ◽  
Model Experiments ◽  
Force Variation ◽  
One To One ◽  
The One

Abstract An analytical membrane model is used to study how wheel imperfections are converted into radial force variation of the tire-wheel assembly. This model indicates that the radial run-out of the rim generates run-out of the tire-wheel assembly at slightly less than the one to one ratio that was expected. Lateral run-out of the rim is found to generate radial run-out of the tire-wheel assembly at a ratio that is dependent on the tire design and the wheel width. Finite element studies of a production tire validate and quantify the results of the membrane model. Experiments using a specially constructed precision wheel demonstrate the behavior predicted by the models. Finally, a population of production tires and wheels show that the lateral run-out of the rims contribute a significant portion to the assembly radial force variation. These findings might be used to improve match-mounting results by taking lateral rim run-out into account.

A Review on Load Balancing Model Using Best Partition Technique

2017 ◽  
Vol 7 (8) ◽  
pp. 284
Author(s):  
M. Chaitanya ◽  
K. Durga Charan
Keyword(s):  
Cloud Computing ◽  
Fault Tolerance ◽  
Load Balancing ◽  
Load Balance ◽  
Large Impact ◽  
Cloud Environment ◽  
Public Cloud ◽  
The Public ◽  
Partition Technique ◽  
Textual Content

Load balancing makes cloud computing greater knowledgeable and could increase client pleasure. At reward cloud computing is among the all most systems which offer garage of expertise in very lowers charge and available all the time over the net. However, it has extra vital hassle like security, load administration and fault tolerance. Load balancing inside the cloud computing surroundings has a large impact at the presentation. The set of regulations relates the sport idea to the load balancing manner to amplify the abilties in the public cloud environment. This textual content pronounces an extended load balance mannequin for the majority cloud concentrated on the cloud segregating proposal with a swap mechanism to select specific strategies for great occasions.

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