The single server queue with catastrophes and geometric reneging

DOI10.1007/s11009-011-9271-6zbMath1273.90053OpenAlexW1981820056MaRDI QIDQ370899

Antonis Economou, Spiros Dimou

Publication date: 20 September 2013

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-011-9271-6

zbMATH Keywords

queueingabandonmentsstationary distributionbusy periodsojourn timegeometric distributioncatastrophesimpatient customersdisastersmaximum queue lengthreneging

Mathematics Subject Classification ID

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

Related Items (14)

ANALYSIS OF A CLEARING QUEUEING SYSTEM WITH SERVER MAINTENANCE AFTER N NEGATIVE FEEDBACKS ⋮ On the telegraph process driven by geometric counting process with Poisson-based resetting ⋮ A time-non-homogeneous double-ended queue with failures and repairs and its continuous approximation ⋮ Analysis of a GI/M/1 queue in a multi-phase service environment with disasters ⋮ Analysis of a queueing system in random environment with an unreliable server and geometric abandonments ⋮ Transient analysis of an M/M/1 queue with reneging, catastrophes, server failures and repairs ⋮ The local principle of large deviations for compound Poisson process with catastrophes ⋮ Batch renewal arrival process subject to geometric catastrophes ⋮ Constructing transient birth-death processes by means of suitable transformations ⋮ Analysis of an \(N\)-policy GI/M/\(1\) queue in a multi-phase service environment with disasters ⋮ A catastrophic queueing model with delayed action ⋮ STRATEGIC CUSTOMERS IN MARKOVIAN QUEUES WITH VACATIONS AND SYNCHRONIZED ABANDONMENT ⋮ A survey on queues in machining system: Progress from 2010 to 2017 ⋮ Equilibrium and Socially Optimal Balking Strategies in Markovian Queues with Vacations and Sequential Abandonment

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