A queueing system with queue length dependent service times, with applications to cell discarding in ATM networks

DOI10.1155/S1048953399000052zbMath0936.60086MaRDI QIDQ1305821

Charles Tier, Doo Il Choi, Charles Knessl

Publication date: 9 May 2000

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48409

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25)

Related Items (8)

Analysis of finite buffer queue with state dependent service and correlated customer arrivals ⋮ Distribution of the number of losses in busy-periods of oscillating \(M^X / G / 1 / (n, a, b)\) systems ⋮ Consecutive customer losses in regular and oscillating \(M^{X}/ G /1/ n\) systems ⋮ Analysis of a discrete-time queue with load dependent service under discrete-time Markovian arrival process ⋮ Consecutive customer losses in oscillating \(GI^X/M//n\) systems with state dependent services rates ⋮ Analysis of an MMPP/G/1/K queue with queue length dependent arrival rates, and its application to preventive congestion control in telecommunication networks ⋮ Moments of losses during busy-periods of regular and nonpreemptive oscillating \(M^X/G/1/n\) systems ⋮ Performance analysis of novel overload control with threshold mechanism

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