In M/G/1 retrial queueing system with two types of customers and feedback, we derived the joint generating function of the number of customers in two groups by using the supplementary variable method. It is shown that our results are consistent with those already known in the literature when δk = 0(k = 1, 2), λ1 = 0 or λ2 = 0.

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The optimal tradeoff between average service cost rate, average utility rate, and averagedelay is addressed for a state dependent M/M/1 queueing model, with controllable queue lengthdependent service rates and arrival rates. For a model with a constant arrival rate λ for all queuelengths, we obtain an asymptotic characterization of the minimum average delay, when theaverage serv...

This paper provides the asymptotic analysis of the loss probability in the GI/M/1/n queueing system as n increases to infinity. The approach of this paper is alternative to that of the recent papers of Choi and Kim [8] and Choi et al [9] and based on application of modern Tauberian theorems with remainder. This enables us to simplify the proofs of the results on asymptotic behavior of the loss ...

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The problem of optimization of a transport traffic at preliminary registration of demands with use of the CBSMAP model is investigated. For the solution of an objective application of the queueing theory and the theory of controlled processes is supposed.