Standard

Equilibrium in a Queueing System with Retrials. / Chirkova, Julia; Mazalov, Vladimir; Morozov, Evsey.

In: Mathematics, Vol. 10, No. 3, 428, 2022.

Research output: Contribution to journal › Article › peer-review

Harvard

Chirkova, J, Mazalov, V & Morozov, E 2022, 'Equilibrium in a Queueing System with Retrials', Mathematics, vol. 10, no. 3, 428. https://doi.org/10.3390/math10030428

APA

Chirkova, J., Mazalov, V., & Morozov, E. (2022). Equilibrium in a Queueing System with Retrials. Mathematics, 10(3), [428]. https://doi.org/10.3390/math10030428

Vancouver

Chirkova J, Mazalov V, Morozov E. Equilibrium in a Queueing System with Retrials. Mathematics. 2022;10(3). 428. https://doi.org/10.3390/math10030428

Author

Chirkova, Julia ; Mazalov, Vladimir ; Morozov, Evsey. / Equilibrium in a Queueing System with Retrials. In: Mathematics. 2022 ; Vol. 10, No. 3.

BibTeX

@article{f6fce5777e40476096fccf85be12d44f,
title = "Equilibrium in a Queueing System with Retrials",
abstract = "We find an equilibrium in a single-server queueing system with retrials and strategic timing of the customers. We consider a set of customers, each of which must decide when to arrive to a queueing system during a fixed period of time. In this system, after completion of service, the server seeks a customer blocked in a virtual orbit (orbital customer) to be served next, unless a new customer captures the server. We develop, in detail, a setting with two and three customers in the set, and formulate and discuss the problem for the general case with an arbitrary number of customers. The numerical examples for the system with two and three customers included as well.",
keywords = "equilibrium arrivals, one-server queueing system, orbit, retrials",
author = "Julia Chirkova and Vladimir Mazalov and Evsey Morozov",
year = "2022",
doi = "10.3390/math10030428",
language = "English",
volume = "10",
journal = "Mathematics",
issn = "2227-7390",
publisher = "MDPI AG",
number = "3",

}

RIS

TY - JOUR

T1 - Equilibrium in a Queueing System with Retrials

AU - Chirkova, Julia

AU - Mazalov, Vladimir

AU - Morozov, Evsey

PY - 2022

Y1 - 2022

N2 - We find an equilibrium in a single-server queueing system with retrials and strategic timing of the customers. We consider a set of customers, each of which must decide when to arrive to a queueing system during a fixed period of time. In this system, after completion of service, the server seeks a customer blocked in a virtual orbit (orbital customer) to be served next, unless a new customer captures the server. We develop, in detail, a setting with two and three customers in the set, and formulate and discuss the problem for the general case with an arbitrary number of customers. The numerical examples for the system with two and three customers included as well.

AB - We find an equilibrium in a single-server queueing system with retrials and strategic timing of the customers. We consider a set of customers, each of which must decide when to arrive to a queueing system during a fixed period of time. In this system, after completion of service, the server seeks a customer blocked in a virtual orbit (orbital customer) to be served next, unless a new customer captures the server. We develop, in detail, a setting with two and three customers in the set, and formulate and discuss the problem for the general case with an arbitrary number of customers. The numerical examples for the system with two and three customers included as well.

KW - equilibrium arrivals

KW - one-server queueing system

KW - orbit

KW - retrials

U2 - 10.3390/math10030428

DO - 10.3390/math10030428

M3 - Article

VL - 10

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 3

M1 - 428

ER -

ID: 133653577