Results 1 to 10 of about 430 (131)

Asymptotic Diffusion Analysis of Multi-Server Retrial Queue with Hyper-Exponential Service [PDF]

open access: yesMathematics, 2020
A multi-server retrial queue with a hyper-exponential service time is considered in this paper. The study is performed by the method of asymptotic diffusion analysis under the condition of long delay in orbit.
Alexander Moiseev   +2 more
doaj   +7 more sources

Diffusion Limit of Multi-Server Retrial Queue with Setup Time [PDF]

open access: yesMathematics, 2020
In the paper, we consider a multi-server retrial queueing system with setup time which is motivated by applications in power-saving data centers with the ON-OFF policy, where an idle server is immediately turned off and an off server is set up upon ...
Anatoly Nazarov   +3 more
doaj   +7 more sources

Multi-Server Two-Way Communication Retrial Queue Subject to Disaster and Synchronous Working Vacation

open access: yesAlgorithms
This research analyzes a multi-server retrial queue with two types of calls: working vacation and working breakdown. The incoming call may enter the retrial queue and attempt to seize a server after a random delay if all the servers are unavailable upon ...
Tzu-Hsin Liu, He-Yao Hsu, Fu-Min Chang
doaj   +5 more sources

AN APPROXIMATION FOR THE QUEUE LENGTH DISTRIBUTION IN A MULTI-SERVER RETRIAL QUEUE

open access: yesJournal of the Chungcheng Mathematical Society, 2016
Abstract. Multi-server queueing systems with retrials are widelyused to model problems in a call center. We present an explicitformula for an approximation of the queue length distribution in amulti-server retrial queue, by using the Lerch transcendent. Accu-racy of our approximation is shown in the numerical examples. 1. IntroductionRetrial queues are
Jeongsim Kim, Kim Jeongsim
exaly   +3 more sources

Performance Forecasting for Multi-Server Retrial Queue with Possibility of Processing Repetition and Server Reservation for Repeating Users

open access: yesStats
This study focuses on forecasting and optimizing the performance of a real-world object modelled by a multi-server queueing system that processes two types of users: primary (new) users and repeating users.
Alexander N. Dudin   +2 more
doaj   +2 more sources

Particle Swarm Optimization and Maximum Entropy Results for MX/G/1 Retrial G-Queue with Delayed Repair [PDF]

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences, 2021
This paper examines an MX/G/1 retrial model with negative customers including the concepts of working vacation, Bernoulli feedback, delayed repair, state-dependent and multi-optional services. Such a queue is quite relevant in real world, for instance in
Geetika Malik   +2 more
doaj   +1 more source

Output process of the M|GI|1 is an asymptotical renewal process [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
Most of the studies on models with retrials are devoted to the research of the number of applications in the system or in the source of repeated calls using asymptotic and numerical approaches or simulation.
Lapatin, Ivan L., Nazarov, Anatoly A.
doaj   +1 more source

Resource Retrial Queue with Two Orbits and Negative Customers

open access: yesMathematics, 2022
In this paper, a multi-server retrial queue with two orbits is considered. There are two arrival processes of positive customers (with two types of customers) and one process of negative customers. Every positive customer requires some amount of resource
Ekaterina Lisovskaya   +3 more
doaj   +1 more source

A multi-server retrial queueing-inventory system with asynchronous multiple vacations

open access: yesDecision Analytics Journal, 2023
This article deals with asynchronous server vacation and customer retrial facility in a multi-server queueing-inventory system. The Poisson process governs the arrival of a customer. The system is comprised of c identical servers, a finite-size waiting area, and a storage area containing S items. The service time is distributed exponentially.
K. Jeganathan   +3 more
openaire   +2 more sources

Retrial Queues with Unreliable Servers and Delayed Feedback

open access: yesMathematics, 2021
In this paper, models of unreliable multi-server retrial queues with delayed feedback are examined. The Bernoulli retrial is allowed upon the arrival of both primary (from outside) and feedback customers (from orbit), as well as the Bernoulli feedback ...
Agassi Melikov   +2 more
doaj   +1 more source

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