Transient solutions for some exhaustive M/G/1 queues with generalized independent vacations

DOI10.1016/0377-2217(88)90425-0zbMath0649.60099OpenAlexW2055326735MaRDI QIDQ1105924

S. H. Smith

Publication date: 1988

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(88)90425-0

zbMATH Keywords

transient solutionsqueues with generalized vacations

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (17)

Queue length analysis of batch arrival queues under bilevel threshold control with early set-up ⋮ An \(M/G/1\) queue under hysteretic vacation policy with an early startup and un-reliable server ⋮ Time-dependent analysis for a queue modeled by an infinite system of partial differential equations ⋮ Queuing system with state-dependent controlled batch arrivals and server under maintenance ⋮ The optimal control of an \(M/G/1\) queueing system with server startup and two vacation types ⋮ Analysis of single server queue with modified vacation policy ⋮ Time-dependent analysis of M/G/1 vacation models with exhaustive service ⋮ Well-posedness of M/G/1 queueing model with single vacations. ⋮ An analysis of the \(M/G/1\) system with \(N\) and \(T\) policy ⋮ On the \(N\)-policy of \(M/G/1\) feedback queue with varying arrival rates. ⋮ Comparison of two randomized policy \(M/G/1\) queues with second optional service, server breakdown and startup ⋮ Bi-level control for batch arrival queues with an early startup and un-reliable server ⋮ On \(M/G/1\) system under \(NT\) policies with breakdowns, startup and closedown ⋮ Entropy maximization andNTvacation M/G/1 model with a startup and unreliable server: comparative analysis on the first two moments of system size ⋮ Threshold Control for a Removable and Un-Reliable Server with Different Type Vacations and Startup ⋮ Analysis of Operating Characteristics for the Heterogeneous Batch Arrival Queue with Server Startup and Breakdowns ⋮ The effect of different arrival rates on the \(N\)-policy of M/G/1 with server setup

Cites Work

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• On the M/G/1 Queue with Rest Periods and Certain Service-Independent Queueing Disciplines
• Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations
• Analysis of the Exceptional Queueing System by the Use of Regenerative Processes and Analytical Methods
• Some analyses on the control of queues using level crossings of regenerative processes
• Utilization of Idle Time in an M/G/1 Queueing System
• Optimal Operating Policies for M/G/1 Queuing Systems
• Bounds for Some Generalizations of the GI/G/1 Queue
• Queues Served in Cyclic Order: Waiting Times

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