Abstract
A two-phase queuing system (QS) has been considered; its first phase is represented by a single-linear system with retrial calls, and the second phase is represented by a multilinear (multiple) unbuffered QS. Queries arrive to the system in the group Markov flow. The system has two operational modes that differ by the strategy of the retrial attempts. Depending on the number of retrial calls, either a decentralized or centralized strategy of retrials is used. A stationary distribution of the system’s state probabilities at the embedded epochs and arbitrary time moments has been found, and formulae for the main characteristics of the system’s productivity have been obtained. Numerical examples are presented.
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Original Russian Text © O.S. Taramin, V.I. Klimenok, 2009, published in Avtomatika i Vychislitel’naya Tekhnika, 2009, No. 6, pp. 5–17.
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Taramin, O.S., Klimenok, V.I. Two-phase queuing system with a threshold strategy of retrial calls. Aut. Conrol Comp. Sci. 43, 285–294 (2009). https://doi.org/10.3103/S0146411609060017
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DOI: https://doi.org/10.3103/S0146411609060017