Modelling and analysis of the impact of correlated inter-event data on production control using Markovian arrival processes

N Manafzadeh Dizbin, B Tan - Flexible Services and Manufacturing …, 2019 - Springer
Empirical studies show that the inter-event times of a production system are correlated.
However, most of the analytical studies for the analysis and control of production systems …

A discrete-time on–off source queueing system with negative customers

J Wang, Y Huang, Z Dai - Computers & Industrial Engineering, 2011 - Elsevier
This paper studies a discrete-time single-server infinite-capacity queueing system with
correlated arrivals, geometrically distributed service times and negative customers. Positive …

The discrete-time queue with autoregressive inputs revisited

F Kamoun - Queueing Systems, 2006 - Springer
In this paper, we present an exact queuing analysis of a discrete-time queue whose arrival
process is correlated and consists of a discrete autoregressive model of order 1 (DAR (1)) …

Clustering of arrivals in queueing systems: autoregressive conditional duration approach

P Tomanová, V Holý - Central European Journal of Operations Research, 2021 - Springer
Arrivals in a queueing system are typically assumed to be independent and exponentially
distributed. Our analysis of an online bookshop, however, shows that there is an …

Statistical inference for lindley random walks with correlated increments

J Grant, J Kong, X Liu, R Lund… - Journal of Statistical …, 2024 - Taylor & Francis
This paper studies statistical inference for a Lindley random walk model when the increment
process driving the walk is strictly stationary. Lindley random walks govern customer waiting …

[HTML][HTML] Discrete-time queue with Bernoulli bursty source arrival and generally distributed service times

WH Zhou, AH Wang - Applied Mathematical Modelling, 2008 - Elsevier
In this contribution, a discrete-time single-server infinite-capacity queue with correlated
arrivals and general service times is investigated. Arrivals of cells are modelled as an on/off …

Queueing models for the analysis of communication systems

H Bruneel, D Fiems, J Walraevens, S Wittevrongel - Top, 2014 - Springer
Queueing models can be used to model and analyze the performance of various
subsystems in telecommunication networks; for instance, to estimate the packet loss and …

A queueing system with discrete autoregressive arrivals

B Kim, Y Chang, YC Kim, BD Choi - Performance Evaluation, 2007 - Elsevier
We consider a discrete time single server queue with discrete autoregressive process of
order 1 (DAR (1)) input. By extracting a Markov process from the queue size process and …

[HTML][HTML] Taylor-series approximations for queues with arrival correlation

D Fiems, K De Turck - Applied Mathematical Modelling, 2019 - Elsevier
This paper studies a discrete-time single-server queueing system with correlated arrivals.
Arrivals at the queue stem from a number of active sessions, each generating a packet in a …

A Taylor series expansions approach to queues with train arrivals

K De Turck, D Fiems, S Wittevrongel… - 5th International ICST …, 2012 - eudl.eu
We assess the performance of a discrete-time queueing system with train arrivals. Arrivals at
the queue stem from a number of active sessions, each generating a packet in a slot with …