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Now showing items 1-10 of 10

#### Some Markovian Queuing Retrial Systems under light-traffic conditions

(Kluwer Academic Publishers-Plenum Publishers, 2001)

The asymptotic behavior of the time of the first loss of a demand in Markovian single-channel and multichannel queuing retrial systems with a finite buffer and an external Markovian environment is analyzed. Two cases are ...

#### Characteristic of exit moments and models of enlargement of states for finite Markov chains in terms of global memory functionals

(Springer, 2000)

A notion of local- and global-memory functions for discrete-type distributions is introduced by analogy with the notion of the memory for continuous-type distributions introduced in Muth's papers. In the class of ...

#### The asymptotic properties of estimates of the parameters of nonlinear time series

(Springer, 2000)

Asymptotic properties of nonlinear time series parameter estimators constructed on trajectories of stochastic systems under stationary and transient conditions are studied with the use of the least-squares method. The ...

#### Z-theorems: Limits of stochastic equations

(International Statistical Institute, 2000)

Let fn(è, ù) be a sequence of stochastic processes which converge weakly to a limit process f 0(è, ù). We show under some assumptions the weak inclusion of the solution sets èn(ù) fè : fn(è, ù) 0g in the limiting ...

#### Convergence of switching reward processes

(American Mathematical Society, 2001)

We study the convergence in the Skorokhod J-topology of switching reward processes constructed by sums of conditionally independent random variables or by processes with conditionally independent increments on the trajectories ...

#### Averaging in Markov models with fast Markov switches and applications to Queueing models

(Springer, 2002)

An approximation of Markov type queueing models with fast Markov switches by Markov models with averaged transition rates is studied. First, an averaging principle for two-component Markov process (x n (t),ζ n (t)) is ...

#### Approximation of multiserver retrial queues by means of generalized truncated models

(Springer, 2002)

It is well-known that an analytical solution of multiserver retrial queues is difficult
and does not lead to numerical implementation. Thus, many papers approximate
the original intractable system by the so-called ...

#### An approximate analytical method of analysis of a threshold maintenance policy for a multiphase multicomponent model

(Springer, 2003)

A multicomponent system is investigated that consists of n identical unreliable components whose nonfailure operating time consists of a number of sequential phases with exponential times. A maintenance policy is studied ...

#### Diffusion approximation in overloaded switching queueing models

(Springer, 2002)

The asymptotic behavior of a queueing process in overloaded state-dependent queueing models (systems and networks) of a switching structure is investigated. A new approach to study fluid and diffusion approximation type ...

#### Analysis of Markov multiserver retrial queues with negative arrivals

(Springer, 2001)

Negative arrivals are used as a control mechanism in many telecommunication and computer networks. In the paper we analyze multiserver retrial queues; i.e., any customer finding all servers busy upon arrival must leave the ...