Matrix product-form solutions for Markov chains with a tree structure
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Publication:4322089
DOI10.2307/1427900zbMath0812.60056OpenAlexW4243391957MaRDI QIDQ4322089
Bhaskar Sengupta, Raymond W. Yeung
Publication date: 20 March 1995
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1427900
Markov modulated Poisson processsteady-state solutionmatrix-geometric methodsmulticlass LCFS-GPR queue
Queueing theory (aspects of probability theory) (60K25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)
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Solving nonlinear matrix equations arising in tree-like stochastic processes. ⋮ A Fixed Point Approach to the Classification of Markov Chains with a Tree Structure ⋮ Analyzing priority queues with 3 classes using tree-like processes ⋮ The classification of matrix GI/M/1-type Markov chains with a tree structure and its applications to queueing ⋮ QBD Markov chains on binomial-like trees and its application to multilevel feedback queues ⋮ Classification of Markov processes of M/G/1 type with a tree structure and its applications to queueing models ⋮ STABILITY AND PERFORMANCE OF STACK ALGORITHMS FOR RANDOM ACCESS COMMUNICATION MODELED AS A TREE STRUCTURED QBD MARKOV CHAIN ⋮ Zero-automatic queues and product form ⋮ Tree Structured QBD Markov Chains and Tree‐Like QBD Processes ⋮ Matrix Product-Form Solutions for LCFs Preemptive Service Single-Server Queues with Batch Markovian Arrival Streams ⋮ On the link between Markovian trees and tree-structured Markov chains ⋮ Quasi-birth-and-death Markov processes with a tree structure and the MMAP[K/PH[K]/N/LCFS non-preemptive queue]
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