Maximum likelihood and Bayesian estimation on M/M/1 queueing model with balking

Gulab Singh Bura and Himanshi Sharma

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 14, 5117-5145

Abstract: In this article, a single-server Markovian queueing model with balking is closely considered. Balking refers to a particular behavior of an impatient customer. Upon arrival, if the queue is too long, a customer may join the queue or leave the system without getting served. If he decides not to join the queue and leaves the system without getting served, this phenomenon is called as balking. In this article, balking probability is treated as a function rather than a constant, which depends on the number of customers present in the system. The emphasis of this article will mainly be placed on maximum likelihood and Bayesian estimation of traffic intensity (ρ), average size of system (Ls), and average size of queue (Lq). In addition, a simulation study has also been performed to support our findings.

Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1080/03610926.2023.2208695 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:53:y:2024:i:14:p:5117-5145

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/lsta20

DOI: 10.1080/03610926.2023.2208695

Access Statistics for this article

Communications in Statistics - Theory and Methods is currently edited by Debbie Iscoe

More articles in Communications in Statistics - Theory and Methods from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().