Classification of Markov Processes of Matrix M/G/l type with a Tree Structure and its Applications to the MMAP[K]/G[K]/1 Queues

DOI10.1080/15326340008807598zbMath0977.60095OpenAlexW2038319224MaRDI QIDQ4526202

Qi-Ming He

Publication date: 4 January 2002

Published in: Communications in Statistics. Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326340008807598

zbMATH Keywords

Lyapunov functionMarkov processmatrix analytic methodtree structureM/G/1 typemean drift

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

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A Fixed Point Approach to the Classification of Markov Chains with a Tree Structure ⋮ The classification of matrix GI/M/1-type Markov chains with a tree structure and its applications to queueing ⋮ STABILITY AND PERFORMANCE OF STACK ALGORITHMS FOR RANDOM ACCESS COMMUNICATION MODELED AS A TREE STRUCTURED QBD MARKOV CHAIN ⋮ Matrix Product-Form Solutions for LCFs Preemptive Service Single-Server Queues with Batch Markovian Arrival Streams

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