Future Wireless and Optical Networks by Shengming Jiang

Author:Shengming Jiang
Language: eng
Format: epub
Publisher: Springer London, London

7.3.1.1 Cost with ETE

For a route consisting of n hops as illustrated in Fig. 7.1(a), a packet loss occurs at node i with probability p i as defined. Then the probability for a packet to successfully go through this route is given by

(7.1)

Then the probability for r retransmissions to be carried out for a successful end-to-end packet transmission over this route is (1−g e ) r g e . The retransmission overhead for a packet loss depends on the whereabouts of a loss occurrence as discussed below.

A retransmission is triggered by the source node (i.e., node 0) once a packet is lost over a route. The probability for a packet to be lost along this route is 1−g e , and that for it to be lost at node i is . Note that p 0=0 since no loss occurs at the source node as assumed. Then the probability for a packet to be lost over the route and this loss to happen at node i is given by . Therefore, the average overhead per retransmission, , is calculated by

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