Routing - La Salle University
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Transcript Routing - La Salle University
WAN Technologies and Routing
Computer Networks and Internets
(Comer)
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Networks
• Networks are grouped into (fuzzy)
categories based on the distances they span
and the number of nodes
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HAN: Home Area Network
LAN: Local Area Network
CAN: Campus Area Network
MAN: Metropolitan Area Network
WAN: Wide Area Network
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Scalability
• As the number of nodes increases, issues of
scalability arise. For a network to “scale”
– One should be able to add nodes easily.
– The network’s functionality should remain
relatively constant when nodes are added.
• The physical problems (attenuation &
interference) are more readily overcome
than the sharing problem (many nodes
trying to transmit on a shared connection).
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Bridges help
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Bridges Revisited
• Bridges help reduce traffic because a bridge
“learns” whether it filters or forwards a frame.
• Unicast messages do not have to be forwarded to
all segments but only to those connecting the
source and destination.
• This allows different segments to transmit
different signals simultaneously (in parallel)
giving the network scalability.
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Router
• A router serves a very similar purpose
– It separates traffic into local (network) traffic and
(internet) traffic that must be sent on.
– It sends the latter in the right general direction.
• Routers and bridges work in different layers:
– A bridge operates at the Data Link Layer using
MAC addresses (hardware addresses).
– A router operates at the Network Layer using
network addresses (software addresses, e.g. IP
addresses).
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That’s Illogical
• Bridges use the MAC address.
• The problem with MAC addresses is that
they are essentially distributed at random
over the network.
– Two nearby computers can have very different
MAC addresses.
• Recall that first part of the MAC address is
associated with the manufacturer.
– Computers with consecutive MAC addresses
could be many thousands of miles apart.
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MAC addressing (random)
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Network addressing (logical)
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Hierarchical addressing
Name Desi Donnelly
Address 12 Park Range
Neighborhood Victoria Park
City Manchester M14 5HQ
Country UNITED KINGDOM
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Hierarchical addressing (Cont.)
• The postal service reads the previous
address starting from the bottom.
• There’s no need to read past United
Kingdom until the letter reaches the UK.
• There’s no need to read past Manchester
until the letter reaches Manchester.
• And so on.
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Hierarchy of IP
• An IP address has a somewhat similar hierarchy.
• An IP address is divided into two parts:
– The first part specifies a particular network (a
neighborhood of nearby computers).
– The second part specifies a particular node.
• There’s no sense looking at the second part (the
node) until you have a match on the first part (the
network).
• The subnet mask provides the dividing line
between the network and node portions of the
address.
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ipconfig /all
Subnet mask 255.255.0.0
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Another Subnet mask
Subnet mask
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255.255.248.0
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25511111111
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25511111111
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24811111000
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24811111000
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Subnet masks
• 255.255.0.0
11111111.11111111.00000000.00000000
• 255.255.248.0
11111111.11111111.11111000.00000000
• Subnet masks usually have the property that
in binary they are a string of all 1’s followed
by a string of all 0’s.
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The subnet-mask division
• The part of the IP address (expressed in
binary) that corresponds to the 1’s portion
of the subnet mask is the network portion.
– 1’s network
• The part of the IP address (expressed in
binary) that corresponds to the 0’s portion
of the subnet mask is the node portion.
– 0’s node
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Example
• IP: 139.84.33.18
10001011.01010100. 00100001. 00010010
• Subnet mask: 255.255.248.0
11111111.11111111.11111000.00000000
• Network part:
10001011. 01010100. 00100000. 00000000
• Node part:
00000000. 00000000. 00000001. 00010010
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Comparison
• IP addressing is simpler because it is
systematic.
• A MAC address consists of 48 bits and all
of the bits must be looked at by each and
every bridge.
• An IP(v4) address consists of 32 bits and
only the first part must be looked at by a
router until a match is found and after that
only the second part must be considered.
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Router
• A router connects two or more networks to form
an internet.
– Sometimes the router connects two or more subnetworks to form a network.
• A router may be a specific device or it may be
software on a computer.
• A router determines where to forward “internet”
traffic (messages whose source is on one network
and destination is on another network).
• It also filters out local traffic.
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Designing a WAN
• Similar to the ideas of dividing a network
into “bridged” segments,
– an internet can be divided into “routed”
networks.
– Or a network can be divided into “routed”
subnetworks.
• Ideally one should study the usage (traffic
patterns) and place routers in such a way
that filtering is efficient.
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Store and Forward
• The network is designed so that many signals are
being transmitted simultaneously (in parallel), thus
several packets may reach a router in very rapid
succession.
• This feature of packet switching is handled by the
STORE and FORWARD paradigm.
• Packets are queued up as they arrive (“stored”)
and then sent on their way (“forwarded”) when the
processor catches up.
• If the queue is full, the packet is dropped and the
router may or may not send a message indicating
as much.
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Hop
• A hop is the transmission of a packet from one
router (or other intermediate point) to another.
• In TCP/IP protocol, the number of hops a packet
is allowed to make is kept in the packet header (in
the TTL time-to-live field). Each router reduces
the number by one. When the TTL reaches 0, the
packet is discarded.
– This is another difference between a bridge and a
router: a router can make (small) changes to the packet.
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Next-Hop Forwarding
• A router has information about the next
place (hop) to forward the packet so that it
will eventually reach its destination.
• The next-hop information is put into a table
(called a routing table).
– It tells the packet which interface to use as it
passes through the router.
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Fig. 13-6 (Comer)
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Fig. 13-6 (Comer)
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Packets don’t look back
• Next-hop switching has “source
independence” and more generally “history
independence.”
– The next-hop only depends on the packet’s
destination, not on where it started or where it’s
been.
• It makes the forwarding mechanism more
compact and efficient.
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Routing
• All destination addresses with the same first
part will be forwarded (routed) to the same
packet switch.
– That’s not exactly true. A given network
destination (as opposed to node destination)
may be listed on the table a few times.
– This allows the router to “re-route” packets if
previous packets have not gotten through, in
case a connection goes down or is jammed with
traffic.
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Routing
• Using only this first part of the address (the
network portion) to route the packet results
in
– A shorter table: an entry per network as
opposed to an entry per computer
– A shorter computation time for routing as the
table is shorter and better organized
• think of searching a sorted array versus searching an
unsorted array
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Interior/Exterior
• Some routers do not connect to a network
(group of end-user computers) but only to
other routers or gateways. They are said to
be “interior.”
• Those connected to computers are called
“exterior.”
– Analogy: interior gateways are like two major
highways meeting without any cities nearby
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The best of all possible routes
• Routing tables should have an entry for
each possible destination, this is called
Universal Routing.
• Routing tables should have the “shortest”
path for the destinations, this is called
Optimal Routing.
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Default Routes
• One way to deal with the competing needs of
having a hop for each destination and having small
tables is to use default routes.
• It’s analogous to the default case in a switch
statement, any case not explicitly found elsewhere
in the table follows the default hop.
• If one hop is very popular, making it the default
shortens the table.
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Routing Table Computation
• Static Routing
– A program computes and installs a packet
switch when it boots and the routes do not
change.
– Routing is simplistic and low network
overhead, but the routing is inflexible.
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Routing Table Computation
• Dynamic
– A program builds an initial routing table when
router boots and alters the table as the
conditions in the network change.
– The network can handle problems
automatically.
– Used by most large networks. They are
designed with redundant hardware to handle the
occasional failures. The dynamic computation
allows the network to recover easily.
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Bridges/Routers
• Recall that bridges could not be used
simultaneously if there was a loop.
• Routers can have loops and remain active;
they are more “intelligent” and can avoid
the infinite loop problem.
• A connection does not have to be down for
a router to reroute packets, heavy traffic
may be enough.
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Dijkstra’s algorithm
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Building a routing table
• Each router sends packets to the routers it
connects to (its “nearest neighbors”).
• From the responses to these packets, the router
gathers information on the “cost” to transmit to
each neighbor.
– Cost is based on bandwidth, traffic, etc.
• This information is compiled into the “link state
packet” (LSP).
• The LSP is transmitted to the neighbors and
beyond.
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Building a routing table (Cont.)
• The router now has information on
– all of the nodes in the networks
– the links connecting them
– the cost thereof
• The router wants to find the least costly
path to all of the other nodes.
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Math terminology
• Abstractly, the network is represented by what
mathematicians call a graph.
• A graph is made up of two sets
– The vertices (our nodes)
– The edges (our transmission lines) which connect two
vertices
• A graph is said to be “connected” if there is at
least one path along the edges connecting every
pair of vertices.
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Math terminology (Cont.)
• A graph is called “simply connected” if for
each pair of vertices, there is only one path
connecting them.
– A simply connected graph has no loops.
– A tree is a simply connected graph.
• Networks are typically not simply
connected (they are not trees), so there is
often more than one path between nodes.
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Dijkstra’s algorithm
• Dijkstra’s algorithm is a way for a router to
select the least costly path to another node
(router).
• One constructs a “tree” that spans the graph.
• The root of the tree is the router for which
we are building the table.
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Dijkstra Demo
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Dijkstra Demo (the root)
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Nearest Neighbors
• Next one includes the branches to the root’s
nearest neighbors.
• One selects the least costly one of these to
continue the procedure.
• This is shown in red in the demo screen
captures.
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Dijkstra Demo
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Dijkstra Demo
Ikeda is the cheapest at this stage.
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Competing paths
• Examine the nearest neighbors of that least
costly path.
• The cost of a path is the sum of the costs of
the links connecting the source (root) to a
node.
• If a path takes us to a node which already
has been reached, then we compare the
costs of the two paths and keep the lower.
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Dijkstra Demo
Ikeda connects to Takamatsu but the cost would be 131 = 74+
57 but we can already get to Takamatsu for cheaper than that.
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No turning back
• Once a node has been analyzed as the least
costly path, we are through with it.
– That’s not to say it won’t be used as part of the
path of many other paths.
– It only means we are through analyzing it.
– These nodes are shown in blue in the demo
screen captures.
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Dijkstra Demo
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Branch
with lowest
cost at this
stage
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Dijkstra Demo
Takamatsu connects to Kawanoe for a a cost of
149=76+73 but we can already get there for a cost of 100.
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Dijkstra Demo
The cheapest active node is now Kawanoe.
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Dijkstra Demo
Kawanoe connects to Kochi for a cost of 187 = 100+87 but
we can already reach there for 156.
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Dijkstra Demo
The cheapest active node is now Muroto.
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Dijkstra Demo
Muroto connects to Kochi for a cost of 211=128+83 but we can
already reach there for a cost of 156.
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Dijkstra Demo
Kochi is now the cheapest active link.
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Dijkstra Demo
Kochi connects to Matsuyama for a cost of 283=156+127 but
Matsuyama can already be reached for a cost of 195.
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Dijkstra Demo
Matsuyama is now the cheapest active node.
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Dijkstra Demo
Matsuyama connects to Uwajima for a cost of 287=195+92
beating the previous cost of 304, so we throw out the old path
and keep the new.
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Dijkstra Demo
Nakamura is now the cheapest active node.
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Dijkstra Demo
Nakamura connects to Uwajima for a cost of 371=284+87
but Uwajima can already be reached for a cost of 287.
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Dijkstra Demo
Uwajima is now the cheapest active node.
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Dijkstra Demo
There are no more active nodes.
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Other References
• http://www-b2.is.tokushimau.ac.jp/~ikeda/suuri/dijkstra/Dijkstra.shtml
• http://www.webopedia.com
• http://www.whatis.com
• http://www.networkcomputing.com/netdesi
gn/1122ipr.html (IP Routing Primer)
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