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common traf c characteristics, it may prove more practical to estimate the essential parameters a and d directly. It is well known that application of Erlang's formula leads to scale economies: to achieve a low blocking probability and high utilization (a=c), it is necessary to have a large capacity c. For multirate traf c with blocking probabilities given by Eq. (16.1), the same requirement implies a high value of c=d. The line labeled ``stream'' in Fig. 16.3 shows how achievable utilization a=c in a simple Erlang loss system varies with c for a target blocking probability of 0.01. 16.6.2 Provisioning for Elastic Traf c

The requirements for animal facilities, housing, and environmental conditions are as described for subchronic studies Special attention must be paid to diet formulation because it is impractical to formulate all of the diets for 2-year study from a single batch In general, semisynthetic diets of speci ed components should be formulated regularly and analyzed before use for test material content The end points used in these studies are those described for the subchronic study: appearance, ophthalmology, food consumption, body weight, clinical signs, behavioral signs, hematology, blood chemistry, urinalysis, organ weights, and pathology Some animals may be killed at xed intervals during the test (eg, 6, 12, or 18 months) for histologic examination Particular attention is paid to any organs or tests that showed compound related changes in the subchronic tests Carcinogenicity tests have many requirements in common (physical facilities, diets, etc.

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Following the simple service model introduced in Section 16.5, we assume throughput quality of service is satis ed by limiting the number of elastic ows on a link and seek to dimension link capacity such that the blocking probability is less than some low target value E. Consider rst an isolated link handling only elastic ows. Assuming Poisson arrivals, a minimum throughput requirement y, exact fair shares (i.e., processor sharing service), and a link bandwidth of c ny, the probability of blocking is equal to the saturation probability in an M =G=1 processor sharing queue of capacity n: Be rn 1 r = 1 rn 1 where r is the link load. 16:2

Several other antiviral strategies have also been pursued for drug discovery. Because arenaviruses are enveloped viruses, modi cations of plasma membrane could affect viral replication. This approach was supported by the demonstration of inhibitory activity exhibited by fatty acids292 and myristic acids293 on Junin virus replication. The integrity of the actin micro laments might be required for optimal arenavirus multiplication as suggested by inhibition of Junin virus in

Since elastic ows use bandwidth more ef ciently, blocking probability (16.2) can be considerably less than the corresponding probability for stream traf c requiring constant rate y, as given by Erlang's formula E nr; n . The line labeled ``elastic'' in Fig. 16.3 shows achievable utilization r for elastic traf c such that Be , given by Eq. (16.2), is equal to 0.01. These results clearly illustrate the scale economies effect and the greater ef ciency of elastic sharing. The advantage of elastic sharing with respect to rigid rate allocations is somewhat mitigated in a network where ows cannot always attain a full share of available link bandwidth because of congestion on other links of their path and their own limited peak rate. If, however, the ows can at least attain rate y and this rate is guaranteed by admission control on every network link, the utilization predicted by the Erlang formula constitutes a lower bound. In other words, the Erlang formula can be used as a conservative dimensioning tool to determine the traf c capacity of a link dedicated to elastic traf c: a link of capacity c can handle a volume of elastic traf c Ae ( ow arrival rate average size) with minimum throughput y and blocking probability less than E if E Ae ; c=y E. Given the scale economies achieved with the Erlang formula, this simple dimensioning approach is ef cient if c=y is large (e.g., Ae =c > 0:8 if c=y > 100 for a 1% blocking probability). An advantage of the above approach is that the integration of stream and elastic traf c is taken into account simply by including the latter as an additional traf c class in the multirate dimensioning methods alluded to in the previous section. 16.7 CONCLUSION

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