Modelling customers’ impatience with discouraged arrival and retention of reneging
Pallabi Medhi ()
Operations Research and Decisions, 2021, vol. 31, issue 3, 67-88
Abstract:
The paper presents stochastic modelling of a single server, finite buffer Markovian queueing system with discouraged arrivals, baulking, reneging, and retention of reneged customers. The Markov process is used to derive the steady-state solution of the model. Closed-form expressions using probability generating functions (PGFs) are derived and presented for both classical and novel performance measures. In addition, a sensitivity analysis is carried out to study the effect of the system parameters on performance measures. A numerical problem is also presented to demonstrate the derived results and some design aspects.
Keywords: baulking; impatience; queuing; reneging; discouraged arrival; retention of reneging (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations: Track citations by RSS feed
Downloads: (external link)
https://ord.pwr.edu.pl/assets/papers_archive/1607%20-%20published.pdf (application/pdf)
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:wut:journl:v:31:y:2021:i:3:p:67-88:id:1607
DOI: 10.37190/ord210304
Access Statistics for this article
More articles in Operations Research and Decisions from Wroclaw University of Science and Technology, Faculty of Management Contact information at EDIRC.
Bibliographic data for series maintained by Adam Kasperski ().