[PDF][PDF] The batch Markovian arrival process: a review and future work

SR Chakravarthy - Advances in probability theory and stochastic …, 2001 - researchgate.net
Marked point processes (MPP's) play an important role in stochastic modeling. In this talk we
review a class of point processes, called batch Markovian arrival processes (BMAP's), that is …

[图书][B] Introduction to matrix analytic methods in stochastic modeling

G Latouche, V Ramaswami - 1999 - SIAM
Matrix analytic methods constitute a success story, illustrating the enrichment of a science,
applied probability, by a technology, that of digital computers. Marcel Neuts has played a …

Retrial queueing systems

JR Artalejo, A Gómez-Corral - Mathematical and Computer Modelling, 1999 - Springer
We consider a branch of queueing theory, retrial queueing systems, which is characterized
by the following basic assumption: a customer who cannot receive service (due to finite …

[图书][B] Numerical methods for structured Markov chains

DA Bini, G Latouche, B Meini - 2005 - books.google.com
Intersecting two large research areas-numerical analysis and applied probability/queuing
theory-this book is a self-contained introduction to the numerical solution of structured …

[图书][B] Queueing theory for telecommunications: discrete time modelling of a single node system

AS Alfa - 2010 - books.google.com
Queueing theory applications can be discovered in many walks of life including;
transportation, manufacturing, telecommunications, computer systems and more. However …

Efficient computation of the extreme solutions of 𝑋+ 𝐴* 𝑋⁻ ¹𝐴= 𝑄 and 𝑋-𝐴* 𝑋⁻ ¹𝐴= 𝑄

B Meini - Mathematics of Computation, 2002 - ams.org
We propose a new quadratically convergent algorithm, having a low computational cost per
step and good numerical stability properties, which allows the simultaneous approximation …

Structured Markov chains solver: software tools

DA Bini, B Meini, S Steffé, B Van Houdt - … the 2006 workshop on Tools for …, 2006 - dl.acm.org
The package SMC-Solver for solving structured Markov chains is presented. It contains the
most advanced algorithms for solving QBD, M/G/1 and G/M/1 problems. The package is …

Solving M/G/l type Markov chains: recent advances and applications

B Meini - Stochastic Models, 1998 - Taylor & Francis
A survey on numerical methods, based on Toeplitz matrix computation, for the solution of
M/G/l type Markov chains is presented together with some new advances. We show how the …

A single server queue with Markov modulated service rates and impatient customers

B Kim, J Kim - Performance Evaluation, 2015 - Elsevier
We consider a single server queue in which the customers wait for service for a fixed time
and leave the system if the service has not begun within that time. The customers arrive …

Infinite-and finite-buffer Markov fluid queues: a unified analysis

N Akar, K Sohraby - Journal of applied probability, 2004 - cambridge.org
In this paper, we study Markov fluid queues where the net fluid rate to a single-buffer system
varies with respect to the state of an underlying continuous-time Markov chain. We present a …