Geometric equilibrium distributions for queues with interactive batch departures

DOI10.1007/BF02033316zbMath0818.90051WikidataQ58645578 ScholiaQ58645578MaRDI QIDQ1315358

B. S. Northcote, Peter G. Taylor, W. Henderson

Publication date: 7 April 1994

Published in: Annals of Operations Research (Search for Journal in Brave)

zbMATH Keywords

generalized Jackson networksqueueing networksbatches of negative customersgeometric product form equilibrium distributionstraffic equations

Mathematics Subject Classification ID

Stochastic network models in operations research (90B15) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (12)

Triggered batch movement in queueing networks ⋮ Networks of queues with batch services, signals and product form solutions ⋮ Generalized birth and death processes with applications to queues with repeated attempts and negative arrivals ⋮ G-networks with multiple classes of negative and positive customers ⋮ M/GI/1 queues with services of both positive and negative customers ⋮ \(G\)-networks with multiple classes of signals and positive customers ⋮ Markov network processes with string transitions ⋮ \(G\)-networks: A versatile approach for work removal in queueing networks ⋮ Quasi-reversibility and networks of queues with nonstandard batch movements. ⋮ Transient product form distributions in queueing networks ⋮ \(G\)-networks: A unifying model for neural and queueing networks ⋮ Local balance in queueing networks with positive and negative customers

Cites Work

• Queues with negative arrivals
• Product-form queueing networks with negative and positive customers
• Equilibrium distributions for an open migration process
• Unnamed Item

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