PARTIALLY OBSERVABLE QUEUEING SYSTEMS with CONTROLLED SERVICE RATES under A DISCOUNTED OPTIMALITY CRITERION

Yofre H. García; Saul Diaz-Infante; J. Adolfo Minjárez-Sosa

doi:10.14736/kyb-2021-3-0493

PARTIALLY OBSERVABLE QUEUEING SYSTEMS with CONTROLLED SERVICE RATES under A DISCOUNTED OPTIMALITY CRITERION

Yofre H. García, Saul Diaz-Infante, J. Adolfo Minjárez-Sosa^*

^*Corresponding author for this work

Departamento de Matemáticas

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

1 Scopus citations

Abstract

We are concerned with a class of GI/GI/1 queueing systems with controlled service rates, in which the waiting times are only observed when they take zero value. Applying a suitable filtering process, we show the existence of optimal control policies under a discounted optimality criterion.

Original language	English
Pages (from-to)	493-512
Number of pages	20
Journal	Kybernetika
Volume	57
Issue number	3
DOIs	https://doi.org/10.14736/kyb-2021-3-0493
State	Published - 2021

Bibliographical note

Funding Information:
The authors acknowledge support from grant DGIP 01/FYM/RPR/022/19, FCFM-UNACH and Consejo Nacional de Ciencia y Tecnología (CONACYT-México) grant Ciencia Frontera 2019-87787.

Funding Information:
The authors acknowledge support from grant DGIP 01/FYM/RPR/022/19, FCFM-UNACH and Consejo Nacional de Ciencia y Tecnolog?a (CONACYT-M?xico) grant Ciencia Frontera 2019-87787.

Publisher Copyright:
© 2021 Institute of Information Theory and Automation of The Czech Academy of Sciences. All rights reserved.

Keywords

Discounted criterion
Optimal policies
Partially observable systems
Queueing models

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10.14736/kyb-2021-3-0493

Cite this

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AU - Minjárez-Sosa, J. Adolfo

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KW - Optimal policies

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PARTIALLY OBSERVABLE QUEUEING SYSTEMS with CONTROLLED SERVICE RATES under A DISCOUNTED OPTIMALITY CRITERION

Abstract

Bibliographical note

Keywords

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