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Title: Change point estimation in an M/M/2 queue with heterogeneous servers
Authors: Singh, Saroja Kumar
Acharya, Sarat Kumar
Cruz, Frederico Rodrigues Borges da
Cançado, André Luiz Fernandes
metadata.dc.identifier.orcid: https://orcid.org/0000-0003-2558-1836
https://orcid.org/0000-0002-6349-5624
https://orcid.org/0000-0001-5842-5544
https://orcid.org/0000-0002-7019-8521
metadata.dc.contributor.affiliation: Ravenshaw University, Department of Statistics
Sambalpur University, Department of Statistics
Universidade Federal de Minas Gerais, Departamento de Estatística
Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Estatística, Programa de Pós-Graduação em Estatística
Assunto:: Estimação de máxima verossimilhança
Simulação de Monte Carlo
Teoria das filas
Issue Date: 6-May-2023
Publisher: Elsevier
Citation: SINGH, Saroja Kumar; ACHARYA, Sarat Kumar; CRUZ, Frederico Rodrigues Borges da; CANÇADO, André Luiz Fernandes. Change point estimation in an M/M/2 queue with heterogeneous servers. Mathematics and Computers in Simulation, [S.l], v. 212, p. 182-194, 2023. DOI: https://doi.org/10.1016/j.matcom.2023.04.022. Disponível em: https://www.sciencedirect.com/science/article/pii/S0378475423001775?via%3Dihub. Acesso em: 02 jun. 2025.
Abstract: The change point problem in the inter-arrival time of an M/M/2 queue with heterogeneous servers is studied here. In this model, it is assumed that the queue is in a steady state and that customers are served by the fastest available server and that there is no transfer of customers between servers. Maximum likelihood estimators are deducted for the arrival rates after and before the change point and for the service rates. Monte Carlo simulation results are presented that attest to the effectiveness and efficiency of the deduced estimators.
metadata.dc.description.unidade: Instituto de Ciências Exatas (IE)
Departamento de Estatística (IE EST)
metadata.dc.description.ppg: Programa de Pós-Graduação em Estatística
DOI: https://doi.org/10.1016/j.matcom.2023.04.022
metadata.dc.relation.publisherversion: https://www.sciencedirect.com/science/article/pii/S0378475423001775?via%3Dihub
Appears in Collections:Artigos publicados em periódicos e afins

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