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Chapter 8
Switching

8.1

Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Figure 8.1 Switched network

8.2
Figure 8.2 Taxonomy of switched networks

8.3
8-1 CIRCUIT-SWITCHED NETWORKS
A circuit-switched network consists of a set of switches
connected by physical links. A connection between two
stations is a dedicated path made of one or more links.
However, each connection uses only one dedicated
channel on each link. Each link is normally divided
into n channels by using FDM or TDM.
Topics discussed in this section:
Three Phases
Efficiency
Delay
Circuit-Switched Technology in Telephone Networks
8.4
Note

A circuit-switched network is made of a
set of switches connected by physical
links, in which each link is
divided into n channels.

8.5
Figure 8.3 A trivial circuit-switched network

8.6
Note

In circuit switching, the resources need
to be reserved during the setup phase;
the resources remain dedicated for the
entire duration of data transfer until the
teardown phase.

8.7
Example 8.1
As a trivial example, let us use a circuit-switched network
to connect eight telephones in a small area.
Communication is through 4-kHz voice channels. We
assume that each link uses FDM to connect a maximum
of two voice channels. The bandwidth of each link is then
8 kHz. Figure 8.4 shows the situation. Telephone 1 is
connected to telephone 7; 2 to 5; 3 to 8; and 4 to 6. Of
course the situation may change when new connections
are made. The switch controls the connections.

8.8
Figure 8.4 Circuit-switched network used in Example 8.1

8.9
Example 8.2
As another example, consider a circuit-switched network
that connects computers in two remote offices of a private
company. The offices are connected using a T-1 line
leased from a communication service provider. There are
two 4 × 8 (4 inputs and 8 outputs) switches in this
network. For each switch, four output ports are folded
into the input ports to allow communication between
computers in the same office. Four other output ports
allow communication between the two offices. Figure 8.5
shows the situation.

8.10
Figure 8.5 Circuit-switched network used in Example 8.2

8.11
Figure 8.6 Delay in a circuit-switched network

8.12
Note

Switching at the physical layer in the
traditional telephone network uses
the circuit-switching approach.

8.13
8-2 DATAGRAM NETWORKS
In data communications, we need to send messages
from one end system to another. If the message is
going to pass through a packet-switched network, it
needs to be divided into packets of fixed or variable
size. The size of the packet is determined by the
network and the governing protocol.
Topics discussed in this section:
Routing Table
Efficiency
Delay
Datagram Networks in the Internet
8.14
Note

In a packet-switched network, there
is no resource reservation;
resources are allocated on demand.

8.15
Figure 8.7 A datagram network with four switches (routers)

8.16
Figure 8.8 Routing table in a datagram network

8.17
Note

A switch in a datagram network uses a
routing table that is based on the
destination address.

8.18
Note

The destination address in the header of
a packet in a datagram network
remains the same during the entire
journey of the packet.

8.19
Figure 8.9 Delay in a datagram network

8.20
Note

Switching in the Internet is done by
using the datagram approach
to packet switching at
the network layer.

8.21
8-3 VIRTUAL-CIRCUIT NETWORKS
A virtual-circuit network is a cross between a circuitswitched network and a datagram network. It has
some characteristics of both.
Topics discussed in this section:
Addressing
Three Phases
Efficiency
Delay
Circuit-Switched Technology in WANs
8.22
Figure 8.10 Virtual-circuit network

8.23
Figure 8.11 Virtual-circuit identifier

8.24
Figure 8.12 Switch and tables in a virtual-circuit network

8.25
Figure 8.13 Source-to-destination data transfer in a virtual-circuit network

8.26
Figure 8.14 Setup request in a virtual-circuit network

8.27
Figure 8.15 Setup acknowledgment in a virtual-circuit network

8.28
Note

In virtual-circuit switching, all packets
belonging to the same source and
destination travel the same path;
but the packets may arrive at the
destination with different delays
if resource allocation is on demand.

8.29
Figure 8.16 Delay in a virtual-circuit network

8.30
Note

Switching at the data link layer in a
switched WAN is normally
implemented by using
virtual-circuit techniques.

8.31
8-4 STRUCTURE OF A SWITCH
We use switches in circuit-switched and packetswitched networks. In this section, we discuss the
structures of the switches used in each type of
network.

Topics discussed in this section:
Structure of Circuit Switches
Structure of Packet Switches

8.32
Figure 8.17 Crossbar switch with three inputs and four outputs

8.33
Figure 8.18 Multistage switch

8.34
Note

In a three-stage switch, the total
number of crosspoints is
2kN + k(N/n)2
which is much smaller than the number of
crosspoints in a single-stage switch (N2).

8.35
Example 8.3
Design a three-stage, 200 × 200 switch (N = 200) with
k = 4 and n = 20.
Solution
In the first stage we have N/n or 10 crossbars, each of size
20 × 4. In the second stage, we have 4 crossbars, each of
size 10 × 10. In the third stage, we have 10 crossbars,
each of size 4 × 20. The total number of crosspoints is
2kN + k(N/n)2, or 2000 crosspoints. This is 5 percent of
the number of crosspoints in a single-stage switch (200 ×
200 = 40,000).
8.36
Note

According to the Clos criterion:
n = (N/2)1/2
k > 2n – 1
Crosspoints ≥ 4N [(2N)1/2 – 1]

8.37
Example 8.4
Redesign the previous three-stage, 200 × 200 switch,
using the Clos criteria with a minimum number of
crosspoints.
Solution
We let n = (200/2)1/2, or n = 10. We calculate k = 2n − 1 =
19. In the first stage, we have 200/10, or 20, crossbars,
each with 10 × 19 crosspoints. In the second stage, we
have 19 crossbars, each with 10 × 10 crosspoints. In the
third stage, we have 20 crossbars each with 19 × 10
crosspoints. The total number of crosspoints is 20(10 ×
19) + 19(10 × 10) + 20(19 ×10) = 9500.
8.38
Figure 8.19 Time-slot interchange

8.39
Figure 8.20 Time-space-time switch

8.40
Figure 8.21 Packet switch components

8.41
Figure 8.22 Input port

8.42
Figure 8.23 Output port

8.43
Figure 8.24 A banyan switch

8.44
Figure 8.25 Examples of routing in a banyan switch

8.45
Figure 8.26 Batcher-banyan switch

8.46

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Ch08

  • 1. Chapter 8 Switching 8.1 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
  • 2. Figure 8.1 Switched network 8.2
  • 3. Figure 8.2 Taxonomy of switched networks 8.3
  • 4. 8-1 CIRCUIT-SWITCHED NETWORKS A circuit-switched network consists of a set of switches connected by physical links. A connection between two stations is a dedicated path made of one or more links. However, each connection uses only one dedicated channel on each link. Each link is normally divided into n channels by using FDM or TDM. Topics discussed in this section: Three Phases Efficiency Delay Circuit-Switched Technology in Telephone Networks 8.4
  • 5. Note A circuit-switched network is made of a set of switches connected by physical links, in which each link is divided into n channels. 8.5
  • 6. Figure 8.3 A trivial circuit-switched network 8.6
  • 7. Note In circuit switching, the resources need to be reserved during the setup phase; the resources remain dedicated for the entire duration of data transfer until the teardown phase. 8.7
  • 8. Example 8.1 As a trivial example, let us use a circuit-switched network to connect eight telephones in a small area. Communication is through 4-kHz voice channels. We assume that each link uses FDM to connect a maximum of two voice channels. The bandwidth of each link is then 8 kHz. Figure 8.4 shows the situation. Telephone 1 is connected to telephone 7; 2 to 5; 3 to 8; and 4 to 6. Of course the situation may change when new connections are made. The switch controls the connections. 8.8
  • 9. Figure 8.4 Circuit-switched network used in Example 8.1 8.9
  • 10. Example 8.2 As another example, consider a circuit-switched network that connects computers in two remote offices of a private company. The offices are connected using a T-1 line leased from a communication service provider. There are two 4 × 8 (4 inputs and 8 outputs) switches in this network. For each switch, four output ports are folded into the input ports to allow communication between computers in the same office. Four other output ports allow communication between the two offices. Figure 8.5 shows the situation. 8.10
  • 11. Figure 8.5 Circuit-switched network used in Example 8.2 8.11
  • 12. Figure 8.6 Delay in a circuit-switched network 8.12
  • 13. Note Switching at the physical layer in the traditional telephone network uses the circuit-switching approach. 8.13
  • 14. 8-2 DATAGRAM NETWORKS In data communications, we need to send messages from one end system to another. If the message is going to pass through a packet-switched network, it needs to be divided into packets of fixed or variable size. The size of the packet is determined by the network and the governing protocol. Topics discussed in this section: Routing Table Efficiency Delay Datagram Networks in the Internet 8.14
  • 15. Note In a packet-switched network, there is no resource reservation; resources are allocated on demand. 8.15
  • 16. Figure 8.7 A datagram network with four switches (routers) 8.16
  • 17. Figure 8.8 Routing table in a datagram network 8.17
  • 18. Note A switch in a datagram network uses a routing table that is based on the destination address. 8.18
  • 19. Note The destination address in the header of a packet in a datagram network remains the same during the entire journey of the packet. 8.19
  • 20. Figure 8.9 Delay in a datagram network 8.20
  • 21. Note Switching in the Internet is done by using the datagram approach to packet switching at the network layer. 8.21
  • 22. 8-3 VIRTUAL-CIRCUIT NETWORKS A virtual-circuit network is a cross between a circuitswitched network and a datagram network. It has some characteristics of both. Topics discussed in this section: Addressing Three Phases Efficiency Delay Circuit-Switched Technology in WANs 8.22
  • 24. Figure 8.11 Virtual-circuit identifier 8.24
  • 25. Figure 8.12 Switch and tables in a virtual-circuit network 8.25
  • 26. Figure 8.13 Source-to-destination data transfer in a virtual-circuit network 8.26
  • 27. Figure 8.14 Setup request in a virtual-circuit network 8.27
  • 28. Figure 8.15 Setup acknowledgment in a virtual-circuit network 8.28
  • 29. Note In virtual-circuit switching, all packets belonging to the same source and destination travel the same path; but the packets may arrive at the destination with different delays if resource allocation is on demand. 8.29
  • 30. Figure 8.16 Delay in a virtual-circuit network 8.30
  • 31. Note Switching at the data link layer in a switched WAN is normally implemented by using virtual-circuit techniques. 8.31
  • 32. 8-4 STRUCTURE OF A SWITCH We use switches in circuit-switched and packetswitched networks. In this section, we discuss the structures of the switches used in each type of network. Topics discussed in this section: Structure of Circuit Switches Structure of Packet Switches 8.32
  • 33. Figure 8.17 Crossbar switch with three inputs and four outputs 8.33
  • 34. Figure 8.18 Multistage switch 8.34
  • 35. Note In a three-stage switch, the total number of crosspoints is 2kN + k(N/n)2 which is much smaller than the number of crosspoints in a single-stage switch (N2). 8.35
  • 36. Example 8.3 Design a three-stage, 200 × 200 switch (N = 200) with k = 4 and n = 20. Solution In the first stage we have N/n or 10 crossbars, each of size 20 × 4. In the second stage, we have 4 crossbars, each of size 10 × 10. In the third stage, we have 10 crossbars, each of size 4 × 20. The total number of crosspoints is 2kN + k(N/n)2, or 2000 crosspoints. This is 5 percent of the number of crosspoints in a single-stage switch (200 × 200 = 40,000). 8.36
  • 37. Note According to the Clos criterion: n = (N/2)1/2 k > 2n – 1 Crosspoints ≥ 4N [(2N)1/2 – 1] 8.37
  • 38. Example 8.4 Redesign the previous three-stage, 200 × 200 switch, using the Clos criteria with a minimum number of crosspoints. Solution We let n = (200/2)1/2, or n = 10. We calculate k = 2n − 1 = 19. In the first stage, we have 200/10, or 20, crossbars, each with 10 × 19 crosspoints. In the second stage, we have 19 crossbars, each with 10 × 10 crosspoints. In the third stage, we have 20 crossbars each with 19 × 10 crosspoints. The total number of crosspoints is 20(10 × 19) + 19(10 × 10) + 20(19 ×10) = 9500. 8.38
  • 39. Figure 8.19 Time-slot interchange 8.39
  • 41. Figure 8.21 Packet switch components 8.41
  • 42. Figure 8.22 Input port 8.42
  • 43. Figure 8.23 Output port 8.43
  • 44. Figure 8.24 A banyan switch 8.44
  • 45. Figure 8.25 Examples of routing in a banyan switch 8.45

Notas del editor

  1. ในการเชื่อมต่อกันทุกโหนดต้องใช้สายทั้งหมด 9+8+7+6+5+4+3+2+1=45 สาย
  2. ***** Datagram networks >>>> Voip ***** Virtual-circuit networks >>>> telephone
  3. circuit-switched network =
  4. -setup phase = จับมือกัน -data transfer = ส่งข้อมูล -teardown phase = ยกเลิกการเชื่อมต่อ
  5. การเชื่อม โทรศัพท์ 8 ตัว แบบ Analog คุยกันได้หมด 4 คูุ่สาย 2 voice chanel Switched มี 3 ตัว
  6. T-1 1 line สามารถโทรได้พร้อมกัน 16 คู่สาย
  7. จุดเชื่อม ที่ออก 8 เพราะ 4 ออกนอก อีก 4 เชื่อมกลับภายใน เพื่อให้สามารถคุยกันได้ภายใน
  8. Delay ตัวหน่วงเวลา ช่วงแรก connect จับคู่ ช่วงสอง datatransfer ส่งข้อมูล ช่วงสาม disconnect ยกเลิกการจับคู่
  9. ในสมัยก่อน ใช้ circuit – switched ในการสล้บสาย (ยุดที่มี่คนรับและคอยสล้บสาย)
  10. DATAGRAM NETWORKS ต้องแบ่ง packet-switched network เป็น ส่วนๆ ตามขนาด ขึ้นอยู่กับ network and the governing protocol ******Ex. VOIP ytel 1234
  11. แบ่งข้อความ ออกเป็น 4 ส่วน เล็กๆย่อย แล้วกระจาย a แบ่งข้อความ x รับข่้อความส่วนย่อย มาเรียง
  12. Delay in a datagram network transmission time ส่งข้อมูล waiting time ค้นหาเส้นทาง
  13. the Internet >>>> มาจาก อินเตอร์เน็ตที่ใช้ทั่วโลก