A Queue with Starter and a Queue with Vacations: Delay Analysis by Decomposition

DOI10.1287/opre.34.3.426zbMath0611.60092OpenAlexW2001595076MaRDI QIDQ3750760

Leonard Kleinrock, Hanoch Levy

Publication date: 1986

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

Full work available at URL: https://semanticscholar.org/paper/09dcb9a0ba7c4ab8f0e0a041e3906a0375c52eeb

zbMATH Keywords

queueing systemdecomposition propertydelay distribution in the queueresidual life of the vacation period

Mathematics Subject Classification ID

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

Related Items (25)

Analysis of theM^x/G/1 Queue with a Random Setup Time ⋮ SOME ASPECTS OF M/G/1 QUEUE WITH TWO DIFFERENT VACATION TIMES UNDER MULTIPLE VACATION POLICY ⋮ Queue length analysis of batch arrival queues under bilevel threshold control with early set-up ⋮ Queueing systems with vacations - a survey ⋮ Transient study of a queueing system with one unreliable server, batch arrivals, two types of verification, loss and vacation ⋮ An M/G/1 clearing queueing system with setup time and multiple vacations for an unreliable server ⋮ On a BMAP/G/1 G-queue with setup times and multiple vacations ⋮ Energy efficiency in a base station of 5G cellular networks using \(M/G/1\) queue with multiple sleeps and \(N\)-policy ⋮ On a batch arrival Poisson queue with a random setup time and vacation period. ⋮ Time-dependent analysis of M/G/1 vacation models with exhaustive service ⋮ Well-posedness of M/G/1 queueing model with single vacations. ⋮ \(\mathrm{M}^{[X}/\mathrm{G}_1\), \(G_2/1\) with setup time, Bernoulli vacation, break down, and delayed repair] ⋮ \(M/G/k\) with staggered setup ⋮ A Survey for Stochastic Decomposition in Vacation Queues ⋮ \(M/G/1\) queue with controllable vacations and optimization of vacation policy ⋮ A note on conservation laws for a multi-class service queueing system with setup times ⋮ Exponential and strong ergodicity for Markov processes with an application to queues ⋮ A discrete-time single-server queue with a modifiedN-policy ⋮ Unnamed Item ⋮ Stochastic Petri net analysis of finite-population vacation queueing systems ⋮ Some results on a generalized \(M/G/1\) feedback queue with negative customers ⋮ M/G/l queuing model with multiple starters ⋮ Subgeometric rates of convergence for a class of continuous-time Markov process ⋮ The GI/M/1 queue with exponential vacations ⋮ The \(M/G/1\) retrial queue with the server subject to starting failures

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