Analysis and Computation of the Joint Queue Length Distribution in a FIFO Single-Server Queue with Multiple Batch Markovian Arrival Streams

DOI10.1081/STM-120023565zbMath1026.60107arXiv1412.8006OpenAlexW3100675010MaRDI QIDQ4414370

Tetsuya Takine, Hiroyuki Masuyama

Publication date: 24 July 2003

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

Full work available at URL: https://arxiv.org/abs/1412.8006

zbMATH Keywords

joint queue length distributionvirtual waiting time distributionjoint queue length distribution in steady statework-conserving FIFO single-server queue

Mathematics Subject Classification ID

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

Related Items (5)

The FIFO single-server queue with disasters and multiple Markovian arrival streams ⋮ A multi-class discrete-time queueing system under the FCFS service discipline ⋮ Queue content analysis in a 2-class discrete-time queueing system under the slot-bound priority service rule ⋮ Multi-class M/PH/1 queues with deterministic impatience times ⋮ Joint arrival process of multiple independent batch Markovian arrival processes

Cites Work

• Ladder heights and the Markov-modulated M/G/1 queue
• A continuous version of matrix-analytic methods with the skip-free to the left property
• New results on the single server queue with a batch markovian arrival process
• A single-server queue with server vacations and a class of non-renewal arrival processes
• The Queue M|G|1 with Markov Modulated Arrivals and Services
• The workload in theMAP/G/1 queue with state-dependent services:its application to a queue with preemptive resume priority
• A new recursion for the queue length distribution in the stationary BMAP/G/1 queue
• Queues with marked customers
• Marked point processes as limits of Markovian arrival streams

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