Matrix Product-Form Solutions for LCFs Preemptive Service Single-Server Queues with Batch Markovian Arrival Streams

DOI10.1081/STM-200056013zbMath1069.60080OpenAlexW2084669950MaRDI QIDQ5462803

Hiroyuki Masuyama, Tetsuya Takine

Publication date: 27 July 2005

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/stm-200056013

zbMATH Keywords

queueing theoryprocesses in random environments

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Processes in random environments (60K37)

Cites Work

• The \(MMAP[K/PH[K]/1\) queues with a last-come-first-served preemptive service discipline]
• Stability conditions of the MMAP[\(K\)/\(G\)[\(K\)]/1/LCFS preemptive repeat queue]
• Markov chains with marked transitions
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• Classification of Markov processes of M/G/1 type with a tree structure and its applications to queueing models
• New results on the single server queue with a batch markovian arrival process
• Extended and conditional versions of the PASTA property
• A single-server queue with server vacations and a class of non-renewal arrival processes
• The Relation between Customer and Time Averages in Queues
• The quasi-birth-death type markov chain with a tree structure
• The workload in theMAP/G/1 queue with state-dependent services:its application to a queue with preemptive resume priority
• Matrix product-form solutions for Markov chains with a tree structure
• 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]
• 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
• A generalization of the matrix M/G/l paradigm for Markov chains with a tree structure
• Queues with marked customers
• Distributional form of Little's law for FIFO queues with multiple Markovian arrival streams and its application to queues with vacations
• The versatility of MMAP[K and the MMAP[K]/G[K]/1 queue]

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