Displaying similar documents to “On transient queue-size distribution in the batch-arrivals system with a single vacation policy”

On the queue-size distribution in the multi-server system with bounded capacity and packet dropping

Oleg Tikhonenko, Wojciech M. Kempa (2013)

Kybernetika

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A multi-server M / M / n -type queueing system with a bounded total volume and finite queue size is considered. An AQM algorithm with the “accepting” function is being used to control the arrival process of incoming packets. The stationary queue-size distribution and the loss probability are derived. Numerical examples illustrating theoretical results are attached as well.

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...

A new family of compound lifetime distributions

A. Asgharzadeh, Hassan S. Bakouch, Saralees Nadarajah, L. Esmaeili (2014)

Kybernetika

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In this paper, we introduce a general family of continuous lifetime distributions by compounding any continuous distribution and the Poisson-Lindley distribution. It is more flexible than several recently introduced lifetime distributions. The failure rate functions of our family can be increasing, decreasing, bathtub shaped and unimodal shaped. Several properties of this family are investigated including shape characteristics of the probability density, moments, order statistics, (reversed)...

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).