Silicon Processing for the VLSI Era, Vol. 4: Deep-Submicron by Stanley Wolf

By Stanley Wolf

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Extra resources for Silicon Processing for the VLSI Era, Vol. 4: Deep-Submicron Process Technology

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Note however, that even for smaller values of A there are two values of G to which it corresponds--one larger and one smaller than~. The smaller one is (conditionally) stable while the other one is conditionally unstable, meaning that if the offered load increases beyond that point the system will continue to drift to higher load and lower throughput. Thus, without additional measures of control, the stable throughput of pure Aloha is O. 4. (It is appropriate to add that this 'theoretical instability is rarely a severe problem in real systems, where the long term load including, of course, the "off hours" load, is fairly small although temporary problems may occur).

To gain insight into the relation between transmission of new packets and retransmission of old ones we build the following packet-scheduling model (referred to as the linear feedback model). Let every user be in one of two states--thinldng and backlogged. In the thinking state the user does not have a packet in his buffer and does not participate in any scheduling activities. When in this state, the user generates a packet in every slot with probability cr and does not generate a packet in a slot with probability 1-cr; packet generation is independent of any other activity.

Only those users wishing to transmit in a slot take any action; a user that does not wish to transmit in a given slot remains quiet for the entire slot duration. I ~T~ I. 4: DYNAMIC CONFUCT-FREE PROTOCOLS 35 • If the user of the highest priority wishes to transmit in this slot then he starts immediately. His transmission consists of an unmodulated carrier for a duration of M -1 minislots followed by a message of duration T • • A user of the ith priority (1 Si SM -1) wishing to transmit in this slot will do so only if the first i minislots are idle.

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