Abstract
The M θ/G/1/m and M θ/G/1 queueing systems, in which the service time depends on the queue length and is determined at the beginning of service of a customer, are investigated. The average busy period and the stationary distribution of the number of customers in the system have been found via the approach based on the idea of V.S. Korolyuk’s potential method. As a special case, the M θ/G/1 queue with a single threshold of switching of service modes is examined. The results are checked using the simulation model constructed with the use of GPSS World software tools.
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Original Russian Text © K.Yu. Zhernovyi, Yu.V. Zhernovyi, 2013, published in Informatsionnye Protsessy, 2013, Vol. 13, No. 2, pp. 76–90.
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Zhernovyi, K.Y., Zhernovyi, Y.V. M θ/G/1/m and M θ/G/1 systems with the service time dependent on the queue length. J. Commun. Technol. Electron. 58, 1267–1275 (2013). https://doi.org/10.1134/S1064226913120206
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DOI: https://doi.org/10.1134/S1064226913120206