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The busy period for the Mθ /G/1/m system with service time dependent of the queue length

Zhernovyi Y., Kopytko B., Zhernovyi K.

Journal of Applied Mathematics and Computational Mechanics

2013

Vol. 12, nr 4

127--133

We consider the Mθ/G/1/m system wherein the service time depends on the queuelength and it is determined at the beginning of customer service. Using an approach basedon the potential method proposed by V. Korolyuk, the Laplace transforms for the distribution f the number of customers in the system on the busy period and for the distribution function of the busy period are found.