Simple and Yet Efficient Estimators for Markovian Multiserver Queues
Joint Authors
Suyama, Emilio
Quinino, Roberto C.
Cruz, F. R. B.
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-25
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Estimators for the parameters of the Markovian multiserver queues are presented, from samples that are the number of clients in the system at arbitrary points and their sojourn times.
As estimation in queues is a recognizably difficult inferential problem, this study focuses on the estimators for the arrival rate, the service rate, and the ratio of these two rates, which is known as the traffic intensity.
Simulations are performed to verify the quality of the estimations for sample sizes up to 400.
This research also relates notable new insights, for example, that the maximum likelihood estimator for the traffic intensity is equivalent to its moment estimator.
Some limitations of the results are presented along with a detailed numerical example and topics for future developments in this research area.
American Psychological Association (APA)
Suyama, Emilio& Quinino, Roberto C.& Cruz, F. R. B.. 2018. Simple and Yet Efficient Estimators for Markovian Multiserver Queues. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1206806
Modern Language Association (MLA)
Suyama, Emilio…[et al.]. Simple and Yet Efficient Estimators for Markovian Multiserver Queues. Mathematical Problems in Engineering No. 2018 (2018), pp.1-7.
https://search.emarefa.net/detail/BIM-1206806
American Medical Association (AMA)
Suyama, Emilio& Quinino, Roberto C.& Cruz, F. R. B.. Simple and Yet Efficient Estimators for Markovian Multiserver Queues. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1206806
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1206806