Results 1 to 10 of about 1,106 (85)
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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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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Simple Proof Of A Known Result In Random-Walk Theory [PDF]
, 1974 Mathematic
Lemoine, Austin J.
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Martingale approach to subexponential asymptotics for random walks [PDF]
, 2011 Consider the random walk $S_n=\xi_1+...+\xi_n$ with independent and identically distributed increments and negative mean $\mathbf E\xi=-mx), x\to\infty$ for long-tailed distributions.
Denisov, Denis, Wachtel, Vitali
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The number of overtakes in an M/M/2 queue
Operations Research Perspectives, 2018 The phenomenon of overtaking in queueing systems and queueing networks has been addressed by several authors with various motivations in the last decades. Nevertheless, up to now, for the relatively simple M/M/2/FCFS queue, the distribution of the number
Hendrik Baumann, Berenice Anne Neumann
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Functional analysis method for the M/G/1 queueing model with single working vacation
Open Mathematics, 2018 In this paper, we study the asymptotic property of underlying operator corresponding to the M/G/1 queueing model with single working vacation, where both service times in a regular busy period and in a working vacation period are function. We obtain that
Kasim Ehmet, Gupur Geni
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The expected discrimination frequency for two-server queues
Operations Research Perspectives, 2018 Fairness measures for queues were introduced for measuring the individual satisfaction of human customers with respect to the waiting experience. The measure which performs best in some sense is the expected discrimination frequency (DF).
Berenice Anne Neumann, Hendrik Baumann
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Ain Shams Engineering Journal, 2018 In this investigation, single repairable server queueing system with bulk input and state dependent rates is analyzed by considering the general distributions for the repair, delay to repair and service processes.
Charan Jeet Singh +2 more
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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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