Assignment title: Information
Telecommunication Networks M Assignment, SP2 2015
Network Dimensioning for a Large Organisation
This assignment will test your ability to apply the simple elements of knowledge gained
throughout the course to a “real-life” problem. You will need to be able to make realistic
assumptions, justify them, and then translate them into the design of your system.
Please note that in practice each set of assumptions made by individual students will be
unique. There is no one correct set of assumptions, one correct method to solve each
problem, or one correct answer to the task you will be asked to carry out. However, to
score well, you need to be able to provide convincing arguments to justify your choices
of assumptions and methods used to produce a design that is consistent with these
assumptions.
Note that for the telephone lines dimensioning tasks you will have to locate an Erleng B
calculator that does not have the limitations on the traffic intensity and number of circuits
– there are calculators like this available for free on the www.
Please remember that this is an individual assignment work that has to be carried out
by individual students without external help.
Also, please remember that this is NOT a huge task that requires hundreds of hours of
effort and tens of pages of reporting. You can finish the assignment within no more than
10-15 hours, and prepare a complete report no longer than 6-10 pages.
1. The general scenario
Consider a large organisation with 3 large office buildings A, B, C. Building A is the
building where all central IT facilities of the organisation (PABX, VoIP server, Intranet
server) are located. Buildings are connected with each other and with the outside world as
shown in the figure below.The central servers include, depending on the scenario, PABX, Intranet www and file
servers, mail server etc.
The I/F denotes interface equipment to the connecting link or circuit group. Depending
on the scenario, it might be a PDH multiplex interface, IP router, etc.
Common assumptions:
1. There are 3000 employees working in building A, 1000 in building B and 2000
in building C.
2. Assume that all telephone and data traffic generated by the employees can be
considered Poisson. This is a crude assumption (please check the slides on
Internet traffic), but necessary for simplicity.
3. Also for simplicity, assume that all employees behave exactly the same way i.e.
generate the same quantities of telephone and data traffic, to/from the same
proportions of internal and external destinations/origins. The traffic is distributed
uniformly among employees, i.e. employee X sends/receives the same amount of
traffic to/from employee Y as it does to/from another employee Z.
4. Please assume that every employee has a telephone on the desk and a computer.
2. Your tasks
Task 1:
Make realistic assumptions as to the traffic generation behaviour of an individual
employee. In other words, assign numbers to the following:
a) Average arrival rate of telephone calls to/from each employee’s telephone λi
(assume that this includes both outgoing and incoming calls and that λi will have
the same value for all employees ).
b) Average call holding time (assume the same figure for all calls)c) Proportion of internal telephone traffic per employee i.e. traffic exchanged with
other employees of the organisation (this will be uniformly distributed across all
other employees).
d) The average downlink data traffic (file and email downloads, web pages) per
employee in bps (or kbps or Mbps – whatever suits the purpose).
e) Proportion of downlink data traffic originating at organisation’s internal servers
(note: the remaining downlink data traffic will originate at external sources).
f) The average uplink data traffic (web, email etc. requests, TCP ACKs, uploads of
emails) per employee in bps.
g) Proportion of uplink data traffic terminating at internal servers (the remaining part
will go to the outside world).
Provide rationale for each assumption (i.e. explain why you consider it realistic). You
probably need to make an assumption as to the type of business and the type of employee
(or job) that prevails in that business.
Task 2:
For this task, only consider telephone traffic. Assume that all telephone traffic is circuitswitched as in the traditional PSTN. The relevant scenario is illustrated in the figure
below. The “central servers” become a PABX, the “interface equipment” at B and C
become telephone line concentrators with PDH multiplex equipment, and the interface at
A becomes PDH multiplex equipment, as in the figure.
a) Given the assumptions made in Task 1 a,b,c, map the total traffic flows (in
Erlangs) onto all circuit groups: A-B, A-C and external circuit group. Show the
reasoning leading to the answer you gave.b) If we require that the end-to-end GoS probability of loss for each call is no greater
than 0.01, what are the GoS probabilities of loss allowed for each of the three
groups of circuits?
c) Given the results in a and b above, what are the required numbers of circuits in
each group?
Task 3:
For this task, only consider data traffic as specified in Task 1 d,e,f,g. As illustrated in the
figure below, the “central servers” now become the email/www/proxy servers, and the
“interface equipment” is simply IP routers.
a) Map the total flows of data (in kbps or Mbps) onto all three links connecting
buildings B and C with A and building A with outside world. Please assume that
all links are part of WAN (leased from external providers), not part of the
organisation’s Ethernet. As a consequence, for each link you have to state
separately the downlink and uplink traffic. Provide rationale (explanation) for
your answer.
b) Given the traffic flows obtained in a above, state the data rate capacity (in Mbps)
required for each link (separately in the downlink and uplink directions), under
the condition that average packet delay for each link cannot exceed 3 ms.
Assume that the internal data transfers between servers, hosts and routers located
in the same building incur negligible delay, and that the processing delay at
servers and routers is also negligible. Note: you may need to make a realistic
assumption regarding the average packet length (why?)
Task 4:For this task, assume that all telephony needs of the organisation are served with the
VoIP solution. Assume that the VoIP codec rate is 64 kbps. Assume that the modem
transmits data only when there is a talkspurt, and that it does not transmit anything during
the silence period. Assume the average talkspurt duration of 0.6 s and the average silence
duration of 0.4 s, and that in a typical phone call 50% of talkspurts are transmitted in one
direction, and 50% in the other (i.e. that either one or the other party in the call can talk
and that they talk, on average, for the same amount of time). This results in the symmetry
of downlink and uplink traffic loads during the VoIP call.
a) Calculate the additional VoIP data traffic (in kbps or Mbps) loading each of the
three links (external, A-B, A-C) in each (uplink and downlink) direction. Note: to
find out the average data traffic generated by a VoIP call in each direction, you
may reuse the calculation of data source as given in the tutorial materials, but in
the case at hand there are much simpler ways to get the same result. Please try
to keep it simple! I will not give additional points for data source calculation – in
fact I may take them away
b) Given that all traffic in the organisation is now data traffic, calculate the total data
traffic for each link in each direction (i.e. add the VoIP traffic to the data traffic
resulting from Task 3a).
c) Calculate the data rates for each link (in each direction) required to service the
total traffic from b above, under the same assumption of no more than 3ms
average packet delay on each link.
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