Reliability modelling using G-queues

DOI10.1016/S0377-2217(99)00478-6zbMath0970.90024MaRDI QIDQ1584782

Naresh M. Patel, Peter G. Harrison, Edwige Pitel

Publication date: 21 October 2001

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

zbMATH Keywords

reliabilityqueueing networksstochastic modelling\(G\)-queuesqueues with negative customersunreliable queueing nodes

Mathematics Subject Classification ID

Stochastic models in economics (91B70) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Reliability, availability, maintenance, inspection in operations research (90B25)

Related Items (17)

An \(MAP/G/1\) \(G\)-queues with preemptive resume and multiple vacations ⋮ A discrete-time queueing system with changes in the vacation times ⋮ An \(\mathrm{M}^{[X}/\mathrm{G}/1\) retrial G-queue with single vacation subject to the server breakdown and repair] ⋮ Discrete-time GI\(^X\)/Geo/1/N queue with negative customers and multiple working vacations ⋮ On a BMAP/G/1 G-queue with setup times and multiple vacations ⋮ An \(M/G/1\) retrial \(G\)-queue with non-exhaustive random vacations and an unreliable server ⋮ Analysis of G-queue with unreliable server ⋮ Transient analysis of an \(M/G/1\) retrial queue subject to disasters and server failures ⋮ An \(M/G/1\) retrial \(G\)-queue with preemptive resume and feedback under N-policy subject to the server breakdowns and repairs ⋮ An \(\mathrm{M}/\mathrm{G}/1\) retrial G-queue with preemptive resume priority and collisions subject to the server breakdowns and delayed repairs ⋮ On the BMAP/G/1 G-queues with second optional service and multiple vacations ⋮ On a discrete-time \(GI^X Geo/1/N-G\) queue with randomized working vacations and at most \(J\) vacations ⋮ A discrete-time system with service control and repairs ⋮ An arriving decision problem in a discrete-time queueing system ⋮ A single-server discrete-time retrial \(G\)-queue with server breakdowns and repairs ⋮ Performance analysis of discrete-time queue GI/G/1 with negative arrivals ⋮ An \(M/G/1\) \(G\)-queue with server breakdown, working vacations and vacation interruption

Cites Work

• Unnamed Item
• G-networks with multiple classes of negative and positive customers
• \(G\)-networks with multiple classes of signals and positive customers
• Stability of Product Form G-Networks
• Queues with negative arrivals
• Product-form queueing networks with negative and positive customers
• Queueing networks by negative customers and negative queue lengths
• Sojourn times in single-server queues by negative customers
• Response time distributions in tandem G-networks
• The M/G/1 queue with negative customers

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