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become clear that the TCP congestion avoidance mechanisms w28x, while necessary and powerful, are not sufficient to provide good service in all circumstances Basically, there is a limit to how much control can be accomplished from the edges of the network Beside packet scheduling algorithms, buffer management mechanisms are needed in the routers to complement the end point congestion avoidance mechanisms Below we present some examples of buffer management in the Internet 621 Tail Drop Tail drop, the traditional technique for managing router queue lengths, sets a maximum length in packets for each queue, accepts packets for the queue until the maximum length is reached ie, we say the queue is full, then drops subsequent incoming packets until the queue decreases because a packet from the queue has been transmitted Tail drop is very simple, but it has two important drawbacks.

First, in some situations tail drop allows a single connection or a few flows to monopolize queue space, preventing other connections from getting room in the queue This lockout phenomenon is often the result of synchronization or other timing effects Second, tail drop allows queues to maintain a full or almost full status for long periods of time, since tail drop signals congestion via a packet drop only when the queue has become full It is important to reduce the steady-state queue size for queue management, because even though TCP constrains a flow s window size, packets often arrive at routers in bursts w30x If the queue is full or almost full, an arriving burst will cause multiple packets to be dropped This can result in a global synchronization of flows throttling back, followed by a sustained period of lowered link utilization, reducing overall throughput.

(1.118)

The point of buffering in the network is to absorb data bursts and to transmit them during the hopefully ensuing bursts of silence w29x This is essential to permit the transmission of bursty data According to w29x, queue limits should not reflect the steady-state queues we want maintained in the network; instead, they should reflect the size of bursts we need to absorb 622 Drop on Full Besides tail drop, there are two alternative drop-on-full disciplines: random drop on full and drop front on full Under the random drop-on-full discipline, a router drops a randomly selected packet from the queue when the queue is full and a new packet arrives Under the drop-front-on-full discipline w51x, the router drops the packet at the front of the queue when the queue is full and a new packet arrives.

11( r1 22 + 12r2 ) 11 22 21 12 which is 11N1*. The full community matrix for the two-species example is: 11N1* 12 N1* 21N 2* 22 N1* The stability of the community is found by determining the eigenvalue(s) of the community matrix. This tells us about the growth of a perturbation (nj) from equilibrium. If the sign of the largest eigenvalue of the community matrix is negative then the community is stable; that is, the perturbations reduce back in size towards the equilibrium. A positive value indicates growth of the perturbation away from the equilibrium. Therefore we can see why the community matrix is sometimes referred to as the stability matrix. The magnitude of the dominant eigenvalue determines the return time of the community (Pimm & Lawton 1977), which measures the time taken for a perturbation to decay to 1/e of its initial value. To conclude this section we link up the graphical interpretation of stability of the logistic equation with the analytical method of the community matrix, following May (1973a) and Pimm (1982). Recall that there are two equilibria with the logistic equation (N* = 0 and N* = K). To examine the stability of those equilibria in 6 we used a graphical method to examine perturbations (displacements) from equilibrium and asked whether those displacements will become larger with time. If the perturbations do become larger then the equilibrium is locally unstable. From the community matrix analysis we expect that the stable equilibrium of the logistic model is given by a negative slope of dN/dt with respect to N at equilibrium; that is, the single eigenvalue is negative. This is indeed the case (Fig. 7.4).

Both of these solve the lockout problem, but neither solves the full-queues problem described above In the current Internet, dropped packets serve as a critical mechanism of congestion notification to end nodes The solution to the full-queues problem.

(In this case, it s better to give the kwrite command from a terminal window instead of starting it from the main menu because you want to run KWrite as the superuser. This allows you to save the changes you make in the configuration file, which is owned by root.) You should see the file open in the KWrite window, as shown in Figure 21-1.