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A Batch-Service Queueing Model with a Discrete Batch Markovian Arrival Process [PDF]

open access: yes, 2010
Queueing systems with batch service have been investigated extensively during the past decades. However, nearly all the studied models share the common feature that an uncorrelated arrival process is considered, which is unrealistic in several real-life situations.
Dieter Claeys   +4 more
openaire   +3 more sources

A simulation algorithm for a single server retrial queuing system with batch arrivals

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
Many systems of real word are modeled by retrial queuing system with batch arrivals. Analytical formulas for this class of systems are complicated and address only particular cases.
Florea Ion, Nǎnǎu Corina-Ştefania
doaj   +1 more source

Delay analysis of two batch-service queueing models with batch arrivals: Geo(X)/Geo(c)/1 [PDF]

open access: yes, 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.
Claeys, Dieter   +3 more
core   +1 more source

Analysis of an M|G|1|R queue with batch arrivals and two hysteretic overload control policies

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2014
Hysteretic control of arrivals is one of the most easy-to-implement and effective solutions of overload problems occurring in SIP-servers. A mathematical model of an SIP server based on the queueing system M[X]|G|1(L,H)|(H,R) with batch arrivals and two ...
Gaidamaka Yuliya   +4 more
doaj   +1 more source

Queues with Dropping Functions and General Arrival Processes. [PDF]

open access: yesPLoS ONE, 2016
In a queueing system with the dropping function the arriving customer can be denied service (dropped) with the probability that is a function of the queue length at the time of arrival of this customer.
Andrzej Chydzinski, Pawel Mrozowski
doaj   +1 more source

Non-Stationary Queues with Batch Arrivals [PDF]

open access: yes, 2022
Motivated by applications that involve setting proper staffing levels for multi-server queueing systems with batch arrivals, we present a thorough study of the queue-length process $\{Q(t); t \geq 0\}$, departure process $\{D(t); t \geq 0\}$, and the ...
Pender, Jamol   +2 more
core   +1 more source

Aggregation, Heterogeneous Autoregression and Volatility of Daily International Tourist Arrivals and Exchange Rates [PDF]

open access: yes
Tourism is a major source of service receipts for many countries, including Taiwan. The two leading tourism countries for Taiwan, comprising a high proportion of world tourist arrivals to Taiwan, are Japan and USA, which are sources of short and long ...
McAleer, M.J., Chang, C-L.
core   +4 more sources

A Note on the Waiting-Time Distribution in an Infinite-Buffer GI[X]/C-MSP/1 Queueing System

open access: yesJournal of Probability and Statistics, 2018
This paper deals with a batch arrival infinite-buffer single server queue. The interbatch arrival times are generally distributed and arrivals are occurring in batches of random size.
A. D. Banik   +2 more
doaj   +1 more source

An Intelligent and Automated Approach for Smart Minimarkets

open access: yesInternational Journal of Computational Intelligence Systems, 2020
This paper presents the design and implementation of a smart and safe minimarket prototype for deployment in busy smart cities to mitigate the overhead of shopping experience.
Talal A. Edwan   +4 more
doaj   +2 more sources

Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2018
In this paper we present a method for the computation of convergence bounds for four classes of multiserver queueing systems, described by inhomogeneous Markov chains.
Zeifman Alexander   +5 more
doaj   +1 more source

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