Displaying similar documents to “On the queue-size distribution in the multi-server system with bounded capacity and packet dropping”

On transient queue-size distribution in the batch-arrivals system with a single vacation policy

Wojciech M. Kempa (2014)

Kybernetika

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A queueing system with batch Poisson arrivals and single vacations with the exhaustive service discipline is investigated. As the main result the representation for the Laplace transform of the transient queue-size distribution in the system which is empty before the opening is obtained. The approach consists of few stages. Firstly, some results for a ``usual'' system without vacations corresponding to the original one are derived. Next, applying the formula of total probability, the...

Probabilistic properties of the continuous double auction

Martin Šmíd (2012)

Kybernetika

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In this paper we formulate a general model of the continuous double auction. We (recursively) describe the distribution of the model. As a useful by-product, we give a (recursive) analytic description of the distribution of the process of the best quotes (bid and ask).

On capacity regions of discrete asynchronous multiple access channels

Lóránt Farkas, Tamás Kói (2014)

Kybernetika

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A general formalization is given for asynchronous multiple access channels which admits different assumptions on delays. This general framework allows the analysis of so far unexplored models leading to new interesting capacity regions. The main result is the single letter characterization of the capacity region in case of 3 senders, 2 synchronous with each other and the third not synchronous with them.

Inferring the residual waiting time for binary stationary time series

Gusztáv Morvai, Benjamin Weiss (2014)

Kybernetika

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For a binary stationary time series define σ n to be the number of consecutive ones up to the first zero encountered after time n , and consider the problem of estimating the conditional distribution and conditional expectation of σ n after one has observed the first n outputs. We present a sequence of stopping times and universal estimators for these quantities which are pointwise consistent for all ergodic binary stationary processes. In case the process is a renewal process with zero the...