Informatika i Ee Primeneniya [Informatics and its Applications]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Inform. Primen.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Informatika i Ee Primeneniya [Informatics and its Applications], 2021, Volume 15, Issue 1, Pages 57–64
DOI: https://doi.org/10.14357/19922264210108
(Mi ia712)
 

This article is cited in 2 scientific papers (total in 2 papers)

Optimal threshold-based admission control in the $M/M/s$ system with heterogeneous servers and a common queue

Ya. M. Agalarov

Institute of Informatics Problems, Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, 44-2 Vavilov Str., Moscow 119333, Russian Federation
Full-text PDF (204 kB) Citations (2)
References:
Abstract: The article discusses the $M/M/s$ system with heterogeneous servers and a common queue equipped with the mechanism to control the queue length in order to maximize the average marginal profit. The profit function includes a fee for successfully serviced customers, a fine for each rejected customer, a fine for idle period for each server, a fine for waiting (or for exceeding the allowable waiting time), and costs associated with queue maintenance. The problem is to maximize the marginal profit on a set of simple threshold-based queue length control policies. The property of convexity of the profit function is proved and conditions for existence of a finite optimal threshold of the queue length are obtained.
Keywords: queuing system, optimization, threshold strategy, queue length.
Funding agency Grant number
Russian Foundation for Basic Research 18-07-00692_а
19-07-00739
20-07-00804
The reported study was partly funded by RFBR, projects Nos. 18-07-00692, 19-07-00739, and 20-07-00804.
Received: 01.08.2020
Document Type: Article
Language: Russian
Citation: Ya. M. Agalarov, “Optimal threshold-based admission control in the $M/M/s$ system with heterogeneous servers and a common queue”, Inform. Primen., 15:1 (2021), 57–64
Citation in format AMSBIB
\Bibitem{Aga21}
\by Ya.~M.~Agalarov
\paper Optimal threshold-based admission control in~the~$M/M/s$ system with~heterogeneous servers and~a~common queue
\jour Inform. Primen.
\yr 2021
\vol 15
\issue 1
\pages 57--64
\mathnet{http://mi.mathnet.ru/ia712}
\crossref{https://doi.org/10.14357/19922264210108}
Linking options:
  • https://www.mathnet.ru/eng/ia712
  • https://www.mathnet.ru/eng/ia/v15/i1/p57
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Информатика и её применения
    Statistics & downloads:
    Abstract page:140
    Full-text PDF :62
    References:32
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024