Finite-buffer queues with workload-dependent service and arrival rates

DOI10.1007/s11134-005-0730-zzbMath1085.60066OpenAlexW1987782485MaRDI QIDQ2572910

René Bekker

Publication date: 7 November 2005

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

Full work available at URL: https://research.tue.nl/nl/publications/finitebuffer-queues-with-workloaddependent-service-and-arrival-rates(8f516e78-71a8-4bbc-a5e0-1de20278b81e).html

zbMATH Keywords

finite bufferVolterra integral equationimpatiencecycle maximumlevel-crossingstate-dependent ratesrestricted accessibility

Mathematics Subject Classification ID

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

Related Items (16)

Analysis of finite-buffer state-dependent bulk queues ⋮ Analysis of an \(M/M/1 + G\) queue operated under the FCFS policy with exact admission control ⋮ Multi-server, Finite Waiting Room,M/G/c/KOptimization Models ⋮ Queues with Delays in Two-State Strategies and Lévy Input ⋮ The effects of information on a queue with balking and phase‐type service times ⋮ Busy period analysis for \(M/PH/1\) queues with workload dependent balking ⋮ A NOTE ON INFINITE-SERVER MARKOV MODULATED AND SINGLE-SERVER RETRIAL QUEUES ⋮ Stability analysis of a general state-dependent multiserver queue ⋮ The idle period of the finite \(G/M/1\) queue with an interpretation in risk theory ⋮ TheM/G/1 Queue with Quasi-Restricted Accessibility ⋮ Transient analysis of a Markovian queue with deterministic rejection ⋮ Non-Markovian State-Dependent Networks in Critical Loading ⋮ Shot-noise queueing models ⋮ OPTIMAL ADMISSION CONTROL IN QUEUES WITH WORKLOAD-DEPENDENT SERVICE RATES ⋮ A Duality Approach to Queues with Service Restrictions and Storage Systems with State-Dependent Rates ⋮ Heavy-traffic asymptotics for networks of parallel queues with Markov-modulated service speeds

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