Conditional PASTA

DOI10.1016/0167-6377(88)90036-3zbMath0659.60128OpenAlexW2913506374WikidataQ56763784 ScholiaQ56763784MaRDI QIDQ1112472

G. J. K. Regterschot, Erik A. van Doorn

Publication date: 1988

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

Full work available at URL: https://research.utwente.nl/en/publications/conditional-pasta(e6a4b6c4-d05e-4dd3-bd36-a0938c8200a5).html

zbMATH Keywords

random environmentdoubly stochastic Poisson processbuffer model

Mathematics Subject Classification ID

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

Related Items (22)

Conditional intensities and coincidence properties of stochastic processes with embedded point processes ⋮ On Queueing with Customer Impatience Until the End of Service ⋮ A storage model for data communication systems ⋮ On the inapproximability of \(M/G/K\): Why two moments of job size distribution are not enough ⋮ Strategic Customers in a Transportation Station: When Is It Optimal to Wait? ⋮ Marginal queue length approximations for a two-layered network with correlated queues ⋮ \(N\) parallel queueing systems with server breakdown and repair ⋮ Strategic behavior in queues with arrival rate uncertainty ⋮ The Conditional Distribution of the Residual Service Time in theM_n/G/1 Queue ⋮ The \(M_n/G_n/1\) queue with vacations and exhaustive service ⋮ Some theorems on conditional Pasta: A stochastic integral approach ⋮ A filtered ASTA property ⋮ Little's theorem: A stochastic integral approach ⋮ Analysis of a dynamic assignment of impatient customers to parallel queues ⋮ Filtration of ASTA: A weak convergence approach ⋮ Analysis of the loss probability in the \(\mathrm{M}/\mathrm{G}/1+\mathrm{G}\) queue ⋮ Computing the conditional entry-state distribution in Erlang loss systems ⋮ The state-dependent \(\mathrm{M}/\mathrm{G}/1\) queue with orbit ⋮ EPSTA: The coincidence of time-stationary and customer-stationary distributions ⋮ AnM^X/G/1 queueing system with disasters and repairs under a multiple adapted vacation policy ⋮ Sample-path analysis of stochastic discrete-event systems ⋮ State-dependent \(\mathrm{M}/\mathrm{G}/1\) queueing systems

Cites Work

• The SPP/G/1 queue: A single server queue with a switched Poisson process as input process
• Further results on the M/M/1 queue with randomly varying rates
• The Queue M|G|1 with Markov Modulated Arrivals and Services
• A Fluid Reservoir Regulated by a Birth-Death Process
• Channels that Cooperatively Service a Data Stream and Voice Messages
• Poisson Arrivals See Time Averages

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