A bulk quorum queueing system with a random setup time underN-policy and with Bernoulli vacation schedule

DOI10.1080/17442500500397574zbMath1122.60082OpenAlexW2059288870MaRDI QIDQ3426315

Chakib Tadj, Gautam Choudhury, Lotfi Tadj

Publication date: 8 March 2007

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442500500397574

zbMATH Keywords

optimal managementvacationquorumBernoulli scheduleN-policybulk queueset-up

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (13)

Optimal design and control of queues ⋮ The \(N\)-policy for an unreliable server with delaying repair and two phases of service ⋮ Performance analysis of renewal input \((a,c,b)\) policy queue with multiple working vacations and change over time ⋮ On the multi-server machine interference with modified Bernoulli vacation ⋮ The optimal control of an unreliable server queue with two phases of service and Bernoulli vacation schedule ⋮ Steady state analysis of an \(M^x/G/1\) queue with two phase service and Bernoulli vacation schedule under multiple vacation policy ⋮ Multi-server retrial queue with second optional service: algorithmic computation and optimisation ⋮ A heuristic algorithm for the optimization of a retrial system with Bernoulli vacation ⋮ Algorithmic analysis of the multi-server system with a modified Bernoulli vacation schedule ⋮ On the discrete-time \(\mathrm{Geo}/G/1\) queue with randomized vacations and at most \(J\) vacations ⋮ Performance analysis of a discrete-time \(Geo/G/1\) queue with randomized vacations and at most \(J\) vacations ⋮ Cost analysis of a two-phase \(M^X/E_K/1\) queueing system with \(N\)-policy ⋮ Optimal operating policy for a controllable queueing model with a fuzzy environment

Cites Work

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• Control policy of a hysteretic bulk queueing system
• Optimal design and control of queues
• A quorum queueing system with an unreliable server
• Markov chains with transition delta-matrix: Ergodicity conditions, invariant probability measures and applications
• A first passage problem and its applications to the analysis of a class of stochastic models

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