Gated polling models with customers in orbit.

DOI10.1016/S0895-7177(99)00140-5zbMath1042.60542OpenAlexW2054528437MaRDI QIDQ1597002

Christos Langaris

Publication date: 5 May 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(99)00140-5

Mathematics Subject Classification ID

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

Related Items (15)

A two phase batch arrival retrial queueing system with Bernoulli vacation schedule ⋮ An unreliable retrial queue with delaying repair and general retrial times under Bernoulli vacation schedule ⋮ On the asymptotic behaviour of \(M/G/1\) retrial queues with batch arrivals and impatience phenomenon ⋮ Performance analysis of polling systems with retrials and glue periods ⋮ A batch arrival retrial queue with general retrial times under Bernoulli vacation schedule for unreliable server and delaying repair ⋮ A batch arrival retrial queue with two phases of service and Bernoulli vacation schedule ⋮ Analysis of a retrial queuing model with MAP arrivals and two types of customers. ⋮ Discrete-time \(\mathrm{GI}/\mathrm{G}/1\) retrial queues with time-controlled vacation policies ⋮ Markovian polling systems with mixed service disciplines and retrial customers ⋮ Mathematical methods to study the polling systems ⋮ \(MX/G/1\) retrial queue with multiple vacations and starting failures. ⋮ Analysis of a single-server retrial queue with FCFS orbit and Bernoulli vacation ⋮ A batch arrival retrial queueing system with two phases of service and service interruption ⋮ Analysis of the waiting time distribution for polling systems with retrials and glue periods ⋮ The \(M/G/1\) retrial queue with Bernoulli schedules and general retrial times

Cites Work

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• On the single server retrial queue with priority customers
• The polling system with a stopping server
• Relating polling models with zero and nonzero switchover times
• Polling systems and multitype branching processes
• Expected waiting times in a multiclass batch arrival retrial queue
• On the virtual waiting time in an M/G/1 retrial queue
• A POLLING MODEL WITH RETRIAL CUSTOMERS
• Expected Waiting Time for Nonsymmetric Cyclic Queueing Systems—Exact Results and Applications
• Non-preemptive priorities and vacations in a multiclass retrial queueing system
• On the orbit characteristics of theM/G/ 1 retrial queue

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