Question

q3. a group of n stations share a 128kbps pure aloha channel. each station outputs a 100-bit frame on average once every 10sec, even if the previous one has not yet been sent (e.g., the stations can buffer outgoing frames). (a) what is the max value of n that the system can handle? (hint: refer to the throughput of aloha channels provided in the slides). (b) how would your answer change if a 128kbps slotted aloha channel is used? why? (20pts)

Answer 1

a) The max value of n that the system can handle is 2304.

b) The max value of n that the system can handle if a slotted aloha channel is used is 4608 because the max channel bandwidth for slotted ALOHA is 36.4%.

What is bandwidth?

In computers, bandwidth is the fastest rate at which data can be transferred along a certain path. Network bandwidth, data bandwidth, or digital bandwidth are some examples of bandwidth types.

The capacity or data transfer rate of a particular network is measured by its network bandwidth. It's an essential network measurement for figuring out how fast and reliable a network is. Commonly, network bandwidth is expressed in bits per second (bps).

Solution Explained:

a) The required data rate is

N * (100 bits per packet) * (1 packet/10 seconds) = 10 N bps.

With unslotted aloha, the available data rate is

= 0.18 * 128000 bps = 23040 bps.

Rate required = rate available => 10 N = 23040 => N = 2304

b) With unslotted aloha, the available data rate is

= 0.36 * 128000 bps = 46080 bps.

Rate required = rate available => 10 N = 46080 => N = 4608

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