Wiener-Hopf analysis of an M/G/1 queue with negative customers and of a related class of random walks

DOI10.1007/BF01206563zbMath0879.60099OpenAlexW1718208016MaRDI QIDQ1362318

O. Diekmann

Publication date: 3 August 1997

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01206563

zbMATH Keywords

generating functionsWiener-Hopf techniquequeuequeue lengthnegative customers

Mathematics Subject Classification ID

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

Related Items (13)

First-exit times for compound poisson processes for some types of positive and negative jumps ⋮ On the identification of Wiener-Hopf factors ⋮ Markovian bulk-arriving queues with state-dependent control at idle time ⋮ Decay properties and quasi-stationary distributions for stopped Markovian bulk-arrival and bulk-service queues ⋮ Account of disasters in analysis of queueing systems modeled by the quasi-birth-and-death-process ⋮ Markovian bulk-arrival and bulk-service queues with general state-dependent control ⋮ Decay property of stopped Markovian bulk-arriving queues ⋮ Markovian bulk-arrival and bulk-service queues with state-dependent control ⋮ \(M^X/M/c\) queue with catastrophes and state-dependent control at idle time ⋮ Fluctuation identities with continuous monitoring and their application to the pricing of barrier options ⋮ The M/M/c queue with mass exodus and mass arrivals when empty ⋮ \(G\)-networks: A versatile approach for work removal in queueing networks ⋮ Performance analysis of discrete-time queue GI/G/1 with negative arrivals

Cites Work

• On the identification of Wiener-Hopf factors
• Product-form queueing networks with negative and positive customers
• Applied Probability and Queues
• The M/G/1 queue with negative customers
• The Workload in the M/G/1 Queue with Work Removal
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