The Mx/G/1 queue with queue length dependent service times [PDF]
International Journal of Stochastic Analysis, Volume 14, Issue 4, Page 399-419, 2001., 2001 We deal with the MX/G/1 queue where service times depend on the queue length at the service initiation. By using Markov renewal theory, we derive the queue length distribution at departure epochs. We also obtain the transient queue length distribution at
Choi, Bong Dae +3 more
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On the speed of convergence to stationarity of the Erlang loss system [PDF]
, 2009 We consider the Erlang loss system, characterized by $N$ servers, Poisson arrivals and exponential service times, and allow the arrival rate to be a function of $N.$ We discuss representations and bounds for the rate of convergence to stationarity of the
A.I. Zeifman +23 more
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Stochastic optimization of level-dependent perishable inventory system by Jackson network
Ain Shams Engineering Journal, 2023 In this research work, we developed a model to investigate the long-run behavior of the solutions of continuous review (s,S) inventory policy for level-dependent perishable products with positive service time on Jackson queueing network.
Md. Amirul Islam +2 more
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A transient analysis to the M(τ)/M(τ)/k queue with time-dependent parameters
Open Mathematics, 2021 This work considers the infinite multi-server Markovian queueing model with balking and catastrophes where the rates of arrivals, service, balking, and catastrophes are time dependent. The catastrophes arrive as negative customers to the system.
El-Paoumy Mahdy Shibl +2 more
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Performance and sensitivity analysis of an M/G/1 queue with retrial customers due to server vacation
Ain Shams Engineering Journal, 2020 This paper treats an M/G/1 queue with retrial customers due to server vacation, which can be used to model a hospital service system. When an arriving customer finds the server on vacation at his arrival epoch, he either enters the retrial group with ...
Shan Gao, Deran Zhang
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Applications of Stochastic Semigroups to Queueing Models
Annales Mathematicae Silesianae, 2019 Non-markovian queueing systems can be extended to piecewise-deterministic Markov processes by appending supplementary variables to the system. Then their analysis leads to an infinite system of partial differential equations with an infinite number of ...
Gwiżdż Piotr
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Delay analysis of two batch-service queueing models with batch arrivals: Geo(X)/Geo(c)/1 [PDF]
, 2010 In this paper, we compute the probability generating functions (PGF's) of the customer delay for two batch-service queueing models with batch arrivals.
Bruneel, Herwig +3 more
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Generalized Priority Models for QoS and CoS Network Technologies [PDF]
Computer Science Journal of Moldova, 2007 The variety of priority queueing systems with random switchover times is suggested in this paper. Such systems represent generalized models for a wide class of phenomena which involve queueing and prioritization and are considered in QoS and CoS network ...
Gh. Mishkoy +3 more
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Exact performance analysis of a single-wavelength optical buffer with correlated inter-arrival times [PDF]
, 2010 Providing a photonic alternative to the current electronic switching in the backbone, optical packet switching (OPS) and optical bursts witching (OBS) require optical buffering.
Bruneel, Herwig +3 more
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Evaluation of the traffic coefficient in priority queueing systems [PDF]
Computer Science Journal of Moldova, 2008 Methodology and algorithms of evaluation of the traffic coefficient in priority queueing systems with zero and nonzero switchover times are presented. In the case of zero switchover times the calculation of the traffic coefficient is straightforward.
Gh. Mishkoy, A. Iu. Bejan, O. Benderschi
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