Multi-server queueing system with a batch Markovian arrival process and negative customers

DOI10.1134/S0005117906120083zbMath1194.90031MaRDI QIDQ885782

N. E. Zubov

Publication date: 14 June 2007

Published in: Automation and Remote Control (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (6)

A disaster queue with Markovian arrivals and impatient customers ⋮ Generalized survivability analysis of systems with propagated failures ⋮ Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks ⋮ Analysis of the finite source MAP/PH/N retrial \(G\)-queue operating in a random environment ⋮ Analysis of state-dependent discrete-time queue with system disaster ⋮ Time-dependent analytical and computational study of an M/M/1 queue with disaster failure and multiple working vacations

Cites Work

• Unnamed Item
• Multi-dimensional quasi-Toeplitz Markov chains
• \(G\)-networks: A versatile approach for work removal in queueing networks
• Lack of invariant property of the Erlang loss model in case of MAP input
• \(G\)-networks: development of the theory of multiplicative networks
• An optimal threshold control for a \(BMAP/SM/1\) system with map disaster flow
• A \(MAP/G/1\) queue with negative customers
• Exponential queueing network with dependent servicing, negative customers, and modification of the customer type
• New results on the single server queue with a batch markovian arrival process
• Applied Probability and Queues
• A QUEUE WITH POSITIVE AND NEGATIVE ARRIVALS GOVERNED BY A MARKOV CHAIN
• Analysis of Markov multiserver retrial queues with negative arrivals

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