A stable algorithm for stationary distribution calculation for a BMAP/SM/1 queueing system with Markovian arrival input of disasters

DOI10.1239/JAP/1082999085zbMath1057.60084OpenAlexW2102939112MaRDI QIDQ4819478

Olga V. Semenova, Alexander N. Dudin

Publication date: 24 September 2004

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1082999085

zbMATH Keywords

disastercensored Markov chainstable algorithmBMAP/SM/1 queues

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (14)

A disaster queue with Markovian arrivals and impatient customers ⋮ The FIFO single-server queue with disasters and multiple Markovian arrival streams ⋮ Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks ⋮ Analysis of BMAP/MSP/1 queue with MAP generated negative customers and disasters ⋮ On the bounds for a two-dimensional birth-death process with catastrophes ⋮ Account of disasters in analysis of queueing systems modeled by the quasi-birth-and-death-process ⋮ OR/MS research in disaster operations management ⋮ Performance models for wireless channels ⋮ Perturbation Bounds forM_t/M_t/NQueue with Catastrophes ⋮ Conditions for a product-form stationary distribution of one queueing system with batch transfers and a disaster flow ⋮ Research and optimization of semi-Markov queueing models ⋮ On a BMAP/G/1 Retrial System with Two Types of Search of Customers from the Orbit ⋮ A catastrophic queueing model with delayed action ⋮ Markov Chains with Hybrid Repeating Rows - Upper-Hessenberg, Quasi-Toeplitz Structure of the Block Transition Probability Matrix

Cites Work

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• Optimal multithreshold control for a BMAP\(/G/1\) queue with \(N\) service modes
• \(G\)-networks: A versatile approach for work removal in queueing networks
• Equilibrium distribution of block-structured Markov chains with repeating rows
• New results on the single server queue with a batch markovian arrival process
• A stable recursion for the steady state vector in markov chains of m/g/1 type
• Product-form queueing networks with negative and positive customers
• On a tandem G-network with blocking
• A BMAP/SM/1 queueing system with Markovian arrival input of disasters

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