01404nas a2200169   4500000000100000008004100001260005600042100002400098700001700122700001800139245005300157250006500210856005100275490001000326520087600336020002201212       2020                            d  c12/2020bSpringer International Publishingaon-line1 aTadeusz Czachórski1 aErol Gelenbe1 aDariusz Marek00aSoftware Defined Network Dynamics via Diffusions  aComputer Communication Networks and Telecommunications, LNCS  uhttps://www.springer.com/gp/book/97830306810980 v125273 a<p>Software-Defined Networks (SDN) dynamically modify the paths of Internet flows in response to the quality of service or security needs, and hence frequently modify traffic levels at network routers. Thus network routers often operate in the transient regime, rather than at steady-state, with significant impact on packet loss probabilities and delay. We, therefore, investigate the time-dependent performance of a small network of routers, modelled as G/G/1/N queueing stations. &nbsp;A diffusion approximation is developed to predict the quality of service of the routers in the transient regime. Numerical examples show that&nbsp;the results in the transient regime can differ very significantly from the steady-state results, and therefore that the&nbsp;transient analysis must be taken into account in evaluating the performance of routers in a SDN network.</p>
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