Title
Bounds For Markovian Queues With Possible Catastrophes
Abstract
We consider a general Markovian queueing model with possible catastrophes and obtain new and sharp bounds on the rate of convergence. Some special classes of such models are studied in details, namely, (a) the queueing system with S servers, batch arrivals and possible catastrophes and (b) the queueing model with "attracted" customers and possible catastrophes. A numerical example illustrates the calculations. Our approach can be used in modeling information flows related to high-performance computing.
Year
Venue
Keywords
2017
PROCEEDINGS - 31ST EUROPEAN CONFERENCE ON MODELLING AND SIMULATION ECMS 2017
Inhomogeneous birth-death processes, queueing models, bounds on the rate of convergence
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Alexander I. Zeifman14417.93
Anna Korotysheva2115.32
Yacov Satin395.24
Ksenia Kiseleva401.35
Victor Korolev51611.26
Sergey Shorgin61912.04