Heavy Traffic Limits for the Extreme Waiting Time in Multi-phase Queueing Systems

Saulius Minkevičius () and Edvinas Greičius ()
Additional contact information
Saulius Minkevičius: Vilnius University
Edvinas Greičius: Vilnius University

Methodology and Computing in Applied Probability, 2019, vol. 21, issue 1, 109-124

Abstract: Abstract The main object of this research is a functional limit theorem under conditions of heavy traffic in multi-phase queueing systems. In this paper, limit theorems are proved for extreme values of important probabilistic characteristics of a queueing system, as well as maxima and minima of a waiting time and cumulative waiting time of a customer are investigated and illustrative numerical examples of simulation of multi-phase queueing systems are presented.

Keywords: Queueing systems; Multi-phase queueing system; Heavy traffic; Extreme values; Waiting time of a customer; Cumulative waiting time of a customer; 60F17; 60K10; 60K30; 68M07; 68M20 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s11009-018-9641-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:metcap:v:21:y:2019:i:1:d:10.1007_s11009-018-9641-4

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/11009

DOI: 10.1007/s11009-018-9641-4

Access Statistics for this article

Methodology and Computing in Applied Probability is currently edited by Joseph Glaz

More articles in Methodology and Computing in Applied Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().