net0183 networks and communications lectures 1 and 2 the aloha system 8/25/20091 net0183 networks...
TRANSCRIPT
![Page 1: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/1.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
1
NET0183 Networks and Communications
Lectures 1 and 2THE ALOHA SYSTEM
8/25/2009
Aloha in the Hawaiian language means affection, love, peace, compassion and mercyhttp://en.wikipedia.org/wiki/Aloha
![Page 2: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/2.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
28/25/2009
Historical Case Studyhttp://portal.acm.org/citation.cfm?id=1478462.1478502
1970
![Page 3: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/3.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
3
1968
• In September 1968 the University of Hawaii initiated research into the use of radio communications to support computer-computer and console-computer links.
• At that time, the University of Hawaii was composed of a main campus in Manoa Valley near Honolulu, a four-year college in Hilo, Hawaii, and five two-year community colleges on the islands of Oahu, Kauai, Maui, and Hawaii.– ..plus various research institutes operating within a 200 mile
radius of Honolulu.
8/25/2009
![Page 4: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/4.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
48/25/2009
http://www.lonelyplanet.com/maps/north-america/usa/hawaii/
![Page 5: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/5.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
58/25/2009
http://www.williams.edu/astronomy/Course-Pages/111/Images/ems.jpg
![Page 6: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/6.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
68/25/2009
http://www.randomthink.net/pictures/emwave.gif
The speed of light (usually denoted c) is a physical constant. Its value is exactly 299,792,458 metres per second,[1][2] often approximated as 300,000 kilometres per second or 186,000 miles per second.http://en.wikipedia.org/wiki/Speed_of_light
electromagnetic wave
c = f λf frequencyλ wavelength
![Page 7: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/7.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
7
IBM 360/65
• The computing centre on the main campus operated an IBM 360/65 with 750 Kbytes of core memory.
• A time sharing system UHTSS/2, written in XPL, was developed as a joint project of the University Computer Centre and THE ALOHA SYSTEM under the direction of W. W. Peterson.– University computing centres typically wrote their own
time sharing systems (early operating systems) during the early days of computing.
8/25/2009
![Page 8: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/8.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
8
Goal/Markmið
• “The goal of THE ALOHA SYSTEM is to provide another alternative for the system designer and to determine those situations where radio communications are preferable to conventional wire communications.”– Conventional wire communications provided dial-up
telephone services. It was possible to lease dedicated lines, but this was usually an expensive option.
– In many parts of the world (~1970), a reliable, high quality, wire communication network was not available.
8/25/2009
![Page 9: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/9.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
9
Differences between data communication and voice signals.
• The telephone system was designed for voice signals where two parties hold a more or less continuous conversation.
• In contrast, “Data transmitted in a time-shared computer system comes in a sequence of bursts with extremely long periods of silence between the bursts.”
• Using a leased line to connect an alphanumeric console to a computer could mean that the communication system was operated at less than 1 percent of its capacity.– Multiplexing can alleviate this problem.
8/25/2009
multiplexing/fléttun
burst
![Page 10: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/10.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
108/25/2009
http://www.columbia.edu/acis/history/teletype.jpg teletype
![Page 11: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/11.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
118/25/2009
multiplexing1. <communications> (Or "multiple access") Combining several signals for transmission on some shared medium (e.g. a telephone wire). The signals are combined at the transmitter by a multiplexor (a "mux") and split up at the receiver by a demultiplexor. The communications channel may be shared between the independent signals in one of several different ways: time division multiplexing, frequency division multiplexing, or code division multiplexing. If the inputs take turns to use the output channel (time division multiplexing) then the output bandwidth need be no greater than the maximum bandwidth of any input.
If many inputs may be active simultaneously then the output bandwidth must be at least as great as the total bandwidth of all simultaneously active inputs. In this case the multiplexor is also known as a concentrator. (1995-03-02)
http://foldoc.org/
![Page 12: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/12.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
12
Differences between data communication and voice signals.
• “Statistical analyses of existing systems indicate that the average amount of data transmitted from the central system to the user may be as much as an order of magnitude greater than the amount transmitted from the user to the central system.”– This represented an additional factor in the inefficient
use of a wire communication channel.• Addressing the asymmetry by providing different
capacity wire channels was not deemed possible.
8/25/2009
asymmetry
![Page 13: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/13.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
13
Differences between data communication and voice signals.
• Using a dial-up channel, errors in binary data were caused by random and burst noise.
• Dial-up channels suffered from connection problems e.g. busy signals, wrong numbers, and disconnects.– Andy comments: I remember suffering all these problems.
• “... there is little doubt that in many locations the reliability of wire communications is well below that of the remainder of the computer-communication system.”
• Wire communications were usually obtained from the telephone companies and so were not under the direct control of the system designer.– Andy comments: Today´s system designers do not have direct control of
the Internet either.
8/25/2009
reliabilityreliability/áreiðanleiki
![Page 14: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/14.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
14
Figure 1. THE ALOHA SYSTEM
• The MENEHUNE is a small interface computer. “Much of the design of this multiplexor is based on the design of the Interface Message Processors (IMP´s) used in the ARPA computer net.”
• The HP 2115A had a 16-bit word size, a cycle time of 2 microseconds and an 8K-word core storage capacity.
8/25/2009
MENEHUNE is a legendary Hawaiian elf.
![Page 15: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/15.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
15
THE ALOHA SYSTEM
• Two 100 KHz channels at 407.350 MHz and 413.475 MHz were assigned to ALOHA.– Operating at a rate of 24,000 baud.
• One of the channels was dedicated to data from the MENEHUNE to the remote consoles.– Outgoing messages were queued and prioritised (to any given
scheme) before being transmitted sequentially by the MENEHUNE.
• The other channel was dedicated to data from the remote consoles to the MENEHUE.– “Message from the remote consoles to the MENEHUNE however
are not capable of being multiplexed in such a direct manner.”
8/25/2009
![Page 16: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/16.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
16
Why no frequency multiplexing?
• A different radio frequency could have been used for each of the remote consoles.
• However, this would have considerably increased the costs of the remote consoles and the receiving station.
• Also, when a remote console was not transmitting, its frequency channel would be unused, meaning inefficiency at the receiving station.
• Also, the ALOHA project team expected to have many remote consoles and they wanted to minimize the complexity of the communications equipment at each console.
8/25/2009
![Page 17: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/17.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
178/25/2009
baud<communications, unit> /bawd/ (plural "baud") The unit in which the information carrying capacity or "signalling rate" of a communication channel is measured. One baud is one symbol (state-transition or level-transition) per second. This coincides with bits per second only for two-level modulation with no framing or stop bits. The term "baud" was originally a unit of telegraph signalling speed, set at one Morse code dot per second. It was proposed at the International Telegraph Conference of 1927, and named after J.M.E. Baudot (1845-1903), the French engineer who constructed the first successful teleprinter. Where data is transmitted as packets, e.g. characters, the actual "data rate" of a channel is R D / P where R is the "raw" rate in bits per second, D is the number of data bits in a packet and P is the total number of bits in a packet (including packet overhead). The term "baud" causes much confusion and is usually best avoided. Use "bits per second" (bps), "bytes per second" or "characters per second" (cps) if that's what you mean. (1998-02-14)
http://foldoc.org/
![Page 18: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/18.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
18
THE ALOHA SYSTEM
• Information was transmitted in “packets”.• Packets had a fixed-length of 80 8-bit characters plus 32
identification and control bits and 32 parity bits.– 704 bits– At 24,000 baud, each packet transmission lasted for 29
milliseconds. • The parity bits were used for a “cyclic error detecting code”.
– “The possibility of using the same code for error correction at the MENEHUNE will be considered for a later version of the ALOHA system.”• Andy comments: Should computers automatically correct errors in data
transmissions?
8/25/2009
![Page 19: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/19.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
198/25/2009
parity<storage, communications> An extra bit added to a byte or word to reveal errors in storage (in RAM or disk) or transmission. Even (odd) parity means that the parity bit is set so that there are an even (odd) number of one bits in the word, including the parity bit. A single parity bit can only reveal single bit errors since if an even number of bits are wrong then the parity bit will not change.
Moreover, it is not possible to tell which bit is wrong, as it is with more sophisticated error detection and correction systems.
See also longitudinal parity, checksum, cyclic redundancy check.
http://foldoc.org/
![Page 20: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/20.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
20
THE ALOHA SYSTEM
• Consoles transmitted packets to the MENEHUNE over the same channel in a “completely unsynchronised manner”.
• If a packet was received without error it was acknowledged by the MENEHUNE.
• The transmitting console waited a certain amount of time for an acknowledgement. If no acknowledgement was received, the packet was retransmitted.– The process repeated until a succesful transmission took
place.
8/25/2009
retransmission
![Page 21: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/21.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
21
Two different types of errors
• A transmitted packet could be received incorrectly because of random noise.– “The first type of error is not expected to be a
serious problem.”• A transmitted packet could be received
incorrectly because of interference with a packet transmitted by another console.– “The second type of error... will be of importance
only when a large number of users are trying to use the channel at the same time.”
8/25/2009
![Page 22: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/22.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
22
Figure 2. Packets being transmitted by k active consoles in the ALOHA random access communication system.
8/25/2009
![Page 23: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/23.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
23
Figure 2.
• T (tau) is the duration of a packet – about 34 milliseconds.– 29 milliseconds for transmission of 704 bits.– plus 5 milliseconds for “receiver synchronization”
• “For analysis purposes we make the pessimistic assumption that when an overlap occurs neither packet is received without error and both packets are therefore retransmitted.”– “... we must make sure the retransmission delays in the two
consoles are different.”• Andy comments: exactly how this is achieved is not stated.
8/25/2009
![Page 24: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/24.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
24
Analysis
• Assume there are k active users.• Packets transmitted for the first time are called
message packets. • Packets retransmitted are called repetitions.• Let λ be the average rate of message packets
from a single active user and assume this rate is identical for all users.
• So r, the average number of message packets per unit time from k active users, is kλ.
8/25/2009 r=kλ
![Page 25: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/25.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
25
Analysis
• τ (tau) is the duration of a packet.• If messages were packed perfectly into the
available channel space (with no space between messages) then we would have rτ =1.
• rτ is referred to as the channel utilization.• “Our objective in this section is to determine the
maximum value of the channel utilization, and thus the maximum value of k, which this random access data communication channel can support.”
8/25/2009
![Page 26: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/26.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
26
Analysis
• Let R be the average number of message packets plus retransmissions per unit time from the k active users.
• If there are some retransmissions, then R>r.• Rτ is defined as the channel traffic.– The average number of message packets plus
retransmissions per unit time multiplied by the duration of each packet or retransmission.
• “In this section we shall calculate Rτ as a function of the channel utilization, rτ.”
8/25/2009
![Page 27: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/27.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
27
Analysis
• Assume the interarrival times (defined by the start times of all the message packets plus retransmissions) are independent and exponential.
• The true interarrival time distribution may not be exponential and because of the retransmissions, the assumption “is strictly speaking not even mathematically consistent.”
• “If the retransmission delay is large compared to τ... and the number of retransmissions is not too large this assumption will be reasonably close to the true distribution.”– Andy comments: it would be useful to have some real
measurements showing an exponential distribution of interarrival times.
8/25/2009
![Page 28: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/28.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
28
Interarrival time
• The interarrival time is the amount of time between the arrival of one message (or retransmission) and the arrival of the next.
8/25/2009
![Page 29: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/29.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
298/25/2009
Internet Data Analysis for the Undergraduate Statistics CurriculumJuana Sanchez and Yan He (2005)http://www.amstat.org/publications/jse/v13n3/datasets.sanchez.html
A visual inspection of the histogram might suggest an exponential, but a detailed analysis by Sanchez and He suggests that interarrival times of Internet packets are not distributed exponentially.
![Page 30: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/30.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
30
Analysis
• Under the exponential assumption, the probability that there will be no events (starts of message packets or retransmissions) in a time interval T is exp(-RT).
• “The first packet will overlap with another packet if there exists at least one other start point τ or less seconds before or τ or less seconds after the start of the given packet. Hence the probability that a given message packet or retransmission will be repeated is [1-exp(-2Rτ)].”
8/25/2009
probability of a collision happening
![Page 31: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/31.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
31
Analysis
• The average number of retransmissions per unit time is R[1-exp(-2Rτ)].
• R = r + R[1-exp(-2Rτ)].• rτ = Rτe-2Rτ
– This is the relationship between channel uitilization (rτ) and channel traffic (Rτ).
8/25/2009
![Page 32: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/32.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
32
Figure 3. Channel utilization vs. channel traffic.
8/25/2009
![Page 33: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/33.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
33
Figure 3.
• Channel utilization reaches a maximum value of 1/2e = 0.186.– Channel traffic is equal to 0.5 at this point– Mathematical constant e ≈ 2.718
• “The traffic on the channel becomes unstable at rτ=1/2e and the average number of retransmissions becomes unbounded.”
• “Because of the random access feature the channel capacity is reduced to roughly one sixth of its value if we were able to fill the channel with a continuous stream of uninterrupted data.”
8/25/2009
![Page 34: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/34.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
34
Maximum number of interactive users kmax.
• rτ = kλτ = 1/2e• kmax = (2eλτ)-1
• τ = 34 milliseconds• Suppose each active user sends a message
packet at an average rate of one every 60 seconds. (λ = 1/60)
• kmax = 324
8/25/2009
![Page 35: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/35.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
35
Analysis checked by simulations
8/25/2009
![Page 36: NET0183 Networks and Communications Lectures 1 and 2 THE ALOHA SYSTEM 8/25/20091 NET0183 Networks and Communications by Dr Andy Brooks Aloha in the Hawaiian](https://reader038.vdocuments.us/reader038/viewer/2022110208/56649d9c5503460f94a85cdb/html5/thumbnails/36.jpg)
NET0183 Networks and Communications by Dr Andy Brooks
36
December 17, 1972
• An IMP (Interface Message Processor) was delivered and installed which allowed ALOHA to connect to the ARPANET by means of the first satellite channel.
8/25/2009