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Approximate calculation of the characteristics of multirate systems with inelastic and elastic calls

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Abstract

Models of multirate systems in which inelastic and elastic calls (ie-calls and e-calls, respectively) are jointly serviced are investigated. It is assumed that through the entire service period the iecalls simultaneously occupy b ≥ 1 channels of the system, moreover, all the channels begin and complete servicing of the same ie-call simultaneously. The elastic calls simultaneously occupy m channels, mm\(\bar m\), where m and \(\bar m\) are specified quantities, with the service rate being proportional to the number of channels busy servicing e-calls. Models with continuous and discrete band for servicing e-calls are investigated in detail. Effective numerical algorithms for calculating the characteristics of the models are developed and results of computational experiments are presented.

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Correspondence to A. Z. Melikov.

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Original Russian Text © A.Z. Melikov, F.N. Nagiev, T.S. Kaziev, 2007, published in Avtomatika i Vychislitel’naya Tekhnika, 2007, No. 4, pp. 36–50.

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Melikov, A.Z., Nagiev, F.N. & Kaziev, T.S. Approximate calculation of the characteristics of multirate systems with inelastic and elastic calls. Aut. Conrol Comp. Sci. 41, 203–214 (2007). https://doi.org/10.3103/S0146411607040049

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  • DOI: https://doi.org/10.3103/S0146411607040049

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