Advanced search
Publication Cover
Optimization
A Journal of Mathematical Programming and Operations Research
Volume 67, 2018 - Issue 6
Submit an article Journal homepage
109
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Research and optimization of semi-Markov queueing models

E. V. KondrashovaNational Research University Higher School of Economics, Moscow, Russia.Correspondence[email protected]
&
V. A. KashtanovNational Research University Higher School of Economics, Moscow, Russia.
Pages 921-941 | Received 29 Jun 2017, Accepted 23 Jan 2018, Published online: 07 Mar 2018

References

  • Atkinson JB . A note on a queueing optimization problem. J Oper Res Soc. 1996 Mar;47(3):463–467.
  • Grabski F . Decision problem for a finite states change of semi-Markov process. J Polish Saf Reliab Assoc. 2015;6(1):95–100. Summer Safety and Reliability Seminars.
  • Stidham S Jr . Analysis, design, and control of queueing systems. Oper Res. 2002 Jan-Feb;50(1):197–216. 50th Anniversary Issue.
  • Kondrashova EV . Optimization of income functional in controlled queueing model. Large-Scale Control J. 2012;(36). Moscow, IPO.
  • Dudin A , Semenova O . A stable algorithm for stationary distribution calculation for a BMAP/SM/1 queueing system with Markovian arrival input disasters. J Appl Probab. 2004 Jun;41(2):547–556.
  • Kashtanov VA , Kondrashova EV . Controlled semi-markov queueing model. ALT 2010 (Accelerated Life testing, Reliability-based Analysis and Design). France (Clermont II): Universite Blaise Pascal; 2010, p. 243–249.
  • Kashtanov VA , Kondrashova EV . Controlled semi-markov queueing models. IMAACA 2011 International Conference on Integrated Modeling and Analysis in Applied Control and Automation. Rome; 2011. p. 10–18.
  • Zubi ZS , Al-Dubar IH . Queuing model based on scheduling strategies affect local network services. Recent Adv Appl Math Comput. Inf Sci. 2009;II:312–317.
  • Janssen J , Manca R . Applied semi-Markov processes. New York (NY): Springer; 2006.
  • Jewell WS . Markov-renewal programming. Oper Res. 1967;(11):938–971.
  • Janssen J , Limnios N . Semi-Markov models and applications. New York (NY): Springer; 1999.
  • Barzilovich E , Belyaev Ju , Kashtanov VA . The problems of mathematical reliability-theory. Moscow: Radio I Svyaz’; 1983.
  • Barbu V , Limnios N . Semi-Markov chains and hidden Semi-Markov models toward applications. New York (NY): Springer-Verlag; 2008.
  • Kondrashova EV , Kashtanov VA . Optimization of the CBSMAP queueing model. In: Proceedings of the World Congress on Engineering, WCE 2013, July 3--5. vol. I, London, UK; 2013. p. 69–73.
  • Kashtanov V , Kondrashova EV . Analysis of an input flow controlled by Markov chain. Reliab J. 2012;1(40):68–83.
  • Lucantoni DM , Hellstem KS , Neuts MF . A single-server queue with server vacations and a class of non-Renewal arrival processes. Adv Appl Probab. 1990;22:676–705.
  • Lucantoni DM . New results on the single server queue with a batch Markovian arrival process. Commun Stat Stochastic Models. 1991;7:1–46.
  • Kondrashova EV . CBSMAP-model Optimization and control. Int J Math Models Methods Appl Sci. 2016;10:18–26.
  • Kondrashova EV , Kashtanov V . Research of optimum strategy for Semi-Markov queueing models at control of CBSMAP-flow, Algorithmization. In: Numerical analysis and its applications. 6th International Conference, NAA 2016, Lozenetz, Bulgaria, June 15--22. Cham: Springer; 2016. p. 439–447. Revised Selected Papers.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.