Multiprocessor mesh interconnection networks are 2-dimensional networks, with the processors arranged at the nodes of a grid, and point-to-point links connecting each node to its neighbors.

1. The Analysis of Mesh-Connected Networks
By Fatima Radi
Kufa University
College of Computer Science and mathematics
Computer
Architecture

2. Introduction
• Multiprocessor mesh interconnection networks are 2-dimensional networks,
with the processors arranged at the nodes of a grid, and point-to-point links
connecting each node to its neighbors.
• Networking strategy was originally employed in the 1950's by the telephone
industry as a means of reducing the time required for a call to go through.
Similarly, the computer industry employs networking strategy to provide fast
communication between computer subparts, particularly with regard to
parallel machines.
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3. Introduction
• A Mesh Network is a network topology in which each node relays
data for the network. All nodes cooperate in the distribution of
data in the network. Every node in a mesh network is called a
mesh node.
• Mesh networking is a type of network topology in which a device
(node) transmits its own data as well as serves as a relay for
other nodes
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4. • The performance requirements of many applications, such as
weather prediction, signal processing, radar tracking, and image
processing, far exceed the capabilities of single-processor
architectures. Parallel machines break a single problem down into
parallel tasks that are performed concurrently, reducing
significantly the application processing time.
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5. Mesh Node
A mesh node is a node on a mesh network. This node can be
anything with a network transceiver. Mesh nodes communicate with
each other and use some sort of ad hoc networking protocol to
route messages amongst themselves without the need for a
traditional, hierarchical routing model. This also allows for nodes to
join, move among, and drop out of the network without having to
make administrative changes.
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6. Mesh Network Topologies
The connection between each pair of
adjacent nodes may be
unidirectional
bidirectional
with the latter usually being implemented
as two unidirectional links.
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7. Cont.
A node in a unidirectional network
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8. Organization of a Node
• A node in the system typically consists of one or more processors,
some associated local memory, and a hardware switch that
controls the routing of messages through the node .
• When the node needs to send a message to another node, it
queues the message in a local buffer . The message waits until
the node-to-switch link (connecting the processor and memory to
the local switch) becomes free
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9. Example
example of a 16 -node mesh.
Note that the last element in
one row is connected to the first
element in the next .If the last
element in each row were
connected to the first element
in the same row, we would have
a torus instead
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10. cont.
each processor i was connected to processors:
{i+1, i–1, i+8, and i–8} (mod 64).
Here are the routing functions:
R+1(i) =(i + 1) mod N
R–1(i) =(i – 1) mod N
R+r (i) = (i + r) mod N
R–r (i) = (i – r) mod N where r = 𝑁
The diameter of an llliac IV mesh is 𝑁 – 1.
For example, in a 16-
node mesh structure, it takes a maximum of 3 steps. To see that, let
us look at the mesh interconnection network shown in the form of a
chordal ring:
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11. Cont.
In a 64-element mesh, any node can be reached from any other in no
more than 7 of these shifts.
Without the end-around connections (a “pure” 2D mesh), the
diameter is 2( 𝑁 –1(
It is also possible to have a multidimensional mesh. The diameter of
a d-dimensional mesh is d(N1/d )–1 and its bisection width is N(d–1)/d
The average distance is d × 2(N1/d )/3 (without end-around
connections).
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12. Advantage and disadvantage of mesh Network
Advantage
• Traffic Abundance : Data can be transmitted from different
devices simultaneously. This topology can withstand high
traffic.
• Reliability : Even if one of the components fails there is
always an alternative present. So data transfer doesn’t get
affected.
• Ever growing Expansion and modification in topology can be
done without disrupting other nodes.
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13. disadvantage
• Highly expensive: Overall cost of this network is way too high
as compared to other network topologies
• High maintenance: Set-up and maintenance of this topology is
very difficult. Even administration of the network is tough.
• There are high chances of redundancy in many of the network
connections.
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14. References
• [1] Vikram S. Adve &Mary K. Vernon " Performance Analysis of
Mesh Interconnection Networks with Deterministic Routing "
Computer Sciences Technical Report #1001b † July 1993
• [2]http://networkwire.org/what-is-mesh-topology.html
• [3] http://en.wikipedia.org/
• [4] http://www.ianswer4u.com/2011/05/mesh-topology-
advantages-and.html
• [5]http://people.engr.ncsu.edu/efg/506/s03/lectures/notes/lec2
5.html
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