On long range percolation with heavy tails.
On long time behaviour of a class of reaction-diffusion models
On main characteristics of the queue with single and batch arrivals and the queue size controlled by AQM algorithms
In the article finite-buffer queueing systems of the type with queue size controlled by AQM algorithms are considered, separately for single and batch arrivals. In the latter case two different acceptance strategies: WBAS (Whole Batch Acceptance Strategy) and PBAS (Partial Batch Acceptance Strategy) are distinguished. Three essential characteristics of the system are investigated: the stationary queue-size distribution, the number of consecutively dropped packets (batches of packets) and the time...
On Markovian traffic with applications to TES processes.
On maxima of waiting times
On mixing processes and the lost-games distribution
On modulated random measures.
On moments for branching processes
On network flow equations and splitting formulas for sojourn times in queueing networks.
On optimal replacement policy
A system with a single activated unit which can be in states is considered. Inspections of the system are carried out at discrete time instants. The process of deterioration of the unit is supposed to be Markovian. The unit by its operation brings an income which is monotonically dependent on its state. A replacement of the unit is associated with certain costs. The paper gives an effective algorithm for finding the replacement strategy maximizing the average income of the system per unit time....
On optimality of the FCFS discipline in multiserver queueing systems and networks.
On percolation in random graphs with given vertex degrees.
On probability of first order formulas in a given model
On quadratic stochastic processes.
On quenched and annealed critical curves of random pinning model with finite range correlations
This paper focuses on directed polymers pinned at a disordered and correlated interface. We assume that the disorder sequence is a -order moving average and show that the critical curve of the annealed model can be expressed in terms of the Perron–Frobenius eigenvalue of an explicit transfer matrix, which generalizes the annealed bound of the critical curve for i.i.d. disorder. We provide explicit values of the annealed critical curve for and and a weak disorder asymptotic in the general case....
On relations between additive and multiplacative clustering operators
On reliability analysis of consecutive -out-of- systems with arbitrarily dependent components
In this paper, we consider the linear and circular consecutive -out-of- systems consisting of arbitrarily dependent components. Under the condition that at least components () of the system are working at time , we study the reliability properties of the residual lifetime of such systems. Also, we present some stochastic ordering properties of residual lifetime of consecutive -out-of- systems. In the following, we investigate the inactivity time of the component with lifetime at the system...
On revelation transforms that characterize probability distributions.
On inventory system with random lead time and repeated demands.
On self-optimizing control of Markov processes