Mitigating long queues and waiting times with service resetting
What determines the average length of a queue, which stretches in front of a service station?
The answer to this question clearly depends on the average rate at which jobs arrive at the …
The answer to this question clearly depends on the average rate at which jobs arrive at the …
Transient analysis of an M/M/c queuing system with balking and retention of reneging customers
In this paper, we study an infinite capacity multi-server Markovian queuing system with
balking and retention of reneging customers. The transient analysis of the model is …
balking and retention of reneging customers. The transient analysis of the model is …
A continuous-time Ehrenfest model with catastrophes and its jump-diffusion approximation
We consider a continuous-time Ehrenfest model defined over the integers from-NN to N, and
subject to catastrophes occurring at constant rate. The effect of each catastrophe …
subject to catastrophes occurring at constant rate. The effect of each catastrophe …
A double-ended queue with catastrophes and repairs, and a jump-diffusion approximation
Consider a system performing a continuous-time random walk on the integers, subject to
catastrophes occurring at constant rate, and followed by exponentially-distributed repair …
catastrophes occurring at constant rate, and followed by exponentially-distributed repair …
Transient solution of a Markovian queuing model with heterogeneous servers and catastrophes
In this paper, we study the Markovian queuing system with heterogeneous servers and
catastrophes. The customers arrive according to a Poisson process and the service times …
catastrophes. The customers arrive according to a Poisson process and the service times …
Performance analysis for Bernoulli feedback queues subject to disasters: a system with batch Poisson arrivals under a multiple vacation policy
GC Mytalas, MA Zazanis - Quality Technology & Quantitative …, 2023 - Taylor & Francis
We analyze an M/G/1 system with batch Poisson arrivals and instantaneous Bernoulli
feedback, operating under a Multiple Vacation Policy. The system is subject to disasters that …
feedback, operating under a Multiple Vacation Policy. The system is subject to disasters that …
Transient analysis of a two-heterogeneous servers queue with system disaster, server repair and customers' impatience
A two-heterogeneous servers queue with system disaster, server failure and repair is
considered. In addition, the customers become impatient when the system is down. The …
considered. In addition, the customers become impatient when the system is down. The …
Bibliography on G-networks, negative customers and applications
T Van Do - Mathematical and Computer Modelling, 2011 - Elsevier
The idea of G-networks with negative arrivals, as well as of the relevant product form
solution including non-linear traffic equations, was first published by Erol Gelenbe in 1989 …
solution including non-linear traffic equations, was first published by Erol Gelenbe in 1989 …
Transient behavior of the MAP/M/1/N queuing system
V Vishnevsky, K Vytovtov, E Barabanova, O Semenova - Mathematics, 2021 - mdpi.com
This paper investigates the characteristics of the MAP/M/1/N queuing system in the transient
mode. The matrix method for solving the Kolmogorov equations is proposed. This method …
mode. The matrix method for solving the Kolmogorov equations is proposed. This method …
Transient analysis of a Markov queueing model with feedback, discouragement and disaster
The transient model for a Markovian feedback queue with system disaster and customer
impatient has been investigated. After service completion, dissatisfied customers can …
impatient has been investigated. After service completion, dissatisfied customers can …