Occurrence of rare events in ergodic interacting spin systems
Odd cutsets and the hard-core model on
We consider the hard-core lattice gas model on and investigate its phase structure in high dimensions. We prove that when the intensity parameter exceeds , the model exhibits multiple hard-core measures, thus improving the previous bound of given by Galvin and Kahn. At the heart of our approach lies the study of a certain class of edge cutsets in , the so-called odd cutsets, that appear naturally as the boundary between different phases in the hard-core model. We provide a refined combinatorial...
On a bulk queueing system with impatient customers.
On a Certain Type of Priority Queueing Problem.
On a Class of Correlated Queueing Problems
On a class of discrete generation interacting particle systems.
On a class of queue disciplines
On a discrete modified queue
The busy period distribution of a discrete modified queue , with finitely or infinitely many severs , and with different distribution functions of customer service times is derived.
On a first passage problem in general queueing systems with multiple vacations.
On a Gauss-Kuzmin type problem for piecewise fractional linear maps with explicit invariant measure.
On a loss queueing system with the reserve channel
On a mean reward from a common Markov replacement process
On a mean reward from a Markov replacement process with only one isolated class of recurrent states
On a model for the storage of files on a hardware: statistics at a fixed time and asymptotic regimes.
On a model of a queue with delayed feedback
On a modification of Rényi's traffic model
On a multilevel controlled bulk queueing system .
On a network of M/M/n facilities with the intensity of new arrivals depending on the total number of waiting units
On a non-Markovian queueing problem under a control operating policy and start-up times
A non-Markovian queueing system with Poisson input is studied under a modified operating rule called “control operating policy” in which the server begins “start-up” only when the queue length reaches a fixed number . By using the supplementary variable technique, the distribution of the queue length (excluding those being served) in the form of a generating function is obtained. As a special case, a Markovian queueing system with exponential start-up is discussed in detail to analyse the economic...
On a probabilistic description of small scale structures in 3D fluids