Geodesic
Required service rate for mixed traffic
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2021), pp. 56-67

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In this paper we analyse the nonhomogenous traffic model based on sum of independent Fractional Brownian motion and symmetric $\alpha$-stable Levy process with different Hurst exponents $H_1$ and $H_2=1/\alpha$ and present bounds for the required service rate under QoS constraints. It is well known that for the processes with long-tailed increments effective bandwidths are not expressed by means of the moment generating function of the input flow. However we can derive simple relations between the flow parameters, service rate $C$ and overflow probabilities $\varepsilon (b)$ for finite and infinite buffer. In this way it is possible to find required service rate $C$ under a constraint on maximum overflow probability.
Keywords: fractional brownian motion, $\alpha$-stable Levy process, mixed taffic models, quality of service estimation, overflow probability, rate of service. 
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     author = {O. I. Sidorova and Yu. S. Khokhlov},
     title = {Required service rate for mixed traffic},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {56--67},
     publisher = {mathdoc},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2021_2_a4/}
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O. I. Sidorova; Yu. S. Khokhlov. Required service rate for mixed traffic. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2021), pp. 56-67. http://geodesic.mathdoc.fr/item/VTPMK_2021_2_a4/