• About
  • Policies
  • What is open access
  • Library
  • Contact
Advanced search
      View Item 
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Engineering
      • Department of Industrial Engineering
      • View Item
      •   BUIR Home
      • Scholarly Publications
      • Faculty of Engineering
      • Department of Industrial Engineering
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      Averaging methods for transient regimes in overloading retrial queueing systems

      Thumbnail
      View / Download
      1.0 Mb
      Author
      Anisimov, V. V.
      Date
      1999
      Source Title
      Mathematical and Computer Modelling
      Print ISSN
      0895-7177
      Publisher
      Elsevier
      Volume
      30
      Issue
      3-4
      Pages
      65 - 78
      Language
      English
      Type
      Article
      Item Usage Stats
      116
      views
      83
      downloads
      Abstract
      A new approach is suggested to study transient and stable regimes in overloading retrial queueing systems. This approach is based on limit theorems of averaging principle and diffusion approximation types for so-called switching processes. Two models of retrial queueing systems of the types M̄/Ḡ/1̄/w.r (multidimensional Poisson input flow, one server with general service times, retrial system) and M/M/m/w.r (m servers with exponential service) are considered in the case when the intensity of calls that reapply for the service tends to zero. For the number of re-applying calls, functional limit theorems of averaging principle and diffusion approximation types are proved.
      Keywords
      Averaging principle
      Diffusion approximation
      Markov processes
      Retrial queueing systems
      Switching processes
      Permalink
      http://hdl.handle.net/11693/25228
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/S0895-7177(99)00132-6
      Collections
      • Department of Industrial Engineering 694
      Show full item record

      Browse

      All of BUIRCommunities & CollectionsTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartmentsThis CollectionTitlesAuthorsAdvisorsBy Issue DateKeywordsTypeDepartments

      My Account

      Login

      Statistics

      View Usage StatisticsView Google Analytics Statistics

      Bilkent University

      If you have trouble accessing this page and need to request an alternate format, contact the site administrator. Phone: (312) 290 1771
      © Bilkent University - Library IT

      Contact Us | Send Feedback | Off-Campus Access | Admin | Privacy