BMAP/G/1 queue with correlated arrivals of customers and disasters.

DOI10.1016/j.orl.2003.09.005zbMath1054.60096OpenAlexW1974618559MaRDI QIDQ703245

Yang Woo Shin

Publication date: 11 January 2005

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.orl.2003.09.005

zbMATH Keywords

DisastersMarked Markovian arrival process (MMAP)Negative customersQueue length distribution

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

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Cites Work

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• A single server priority queue with server failures and queue flushing
• \(G\)-networks: A versatile approach for work removal in queueing networks
• Markov chains with marked transitions
• Linear independence of root equations for \(M/G/1\) type Markov chains
• A Pollaczek–Khintchine formula for M/G/1 queues with disasters
• New results on the single server queue with a batch markovian arrival process
• Product-form queueing networks with negative and positive customers
• TheM/M/1 queue with mass exodus and mass arrivals when empty
• A QUEUE WITH POSITIVE AND NEGATIVE ARRIVALS GOVERNED BY A MARKOV CHAIN
• Spectral analysis of M/G/1 and G/M/1 type Markov chains
• A BMAP/SM/1 queueing system with Markovian arrival input of disasters
• Duality results for block-structured transition matrices
• Generalizing the Pollaczek-Khintchine Formula to Account for Arbitrary Work Removal
• A Note on Negative Customers, GI/G/1 Workload, and Risk Processes
• The versatility of MMAP[K and the MMAP[K]/G[K]/1 queue]

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