Multi-dimensional quasi-Toeplitz Markov chains
From MaRDI portal
Publication:1566523
DOI10.1155/S1048953399000337zbMath0959.60092OpenAlexW2086441608MaRDI QIDQ1566523
Alexander N. Dudin, Valentina I. Klimenok
Publication date: 26 April 2001
Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/48705
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)
Related Items
Analysis of the \(BMAP/G/1\) retrial system with search of customers from the orbit ⋮ Applying Foster's criteria to a \(GI/PH/1\) queueing system ⋮ Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory ⋮ Multi-server queueing system with a batch Markovian arrival process and negative customers ⋮ Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks ⋮ RETRIAL NETWORKS WITH FINITE BUFFERS AND THEIR APPLICATION TO INTERNET DATA TRAFFIC ⋮ Computation of the moments of queue length in the $BMAP \slash SM \slash 1$ queue ⋮ The extremal behaviour over regenerative cycles for Markov additive processes with heavy tails ⋮ A \(BMAP/SM/1\) queueing system with hybrid operation mechanism ⋮ Lack of invariant property of the Erlang loss model in case of MAP input ⋮ On a BMAP/G/1 Retrial System with Two Types of Search of Customers from the Orbit ⋮ A bibliographical guide to the analysis of retrial queues through matrix analytic techniques ⋮ Optimal multi-threshold control by the BMAP/SM/1 retrial system ⋮ On the ergodicity of a class of level-dependent quasi-birth-and-death processes ⋮ Markov Chains with Hybrid Repeating Rows - Upper-Hessenberg, Quasi-Toeplitz Structure of the Block Transition Probability Matrix ⋮ A \(BMAP/PH/1\) queue with feedback operating in a random environment
