Problemy Peredachi Informatsii
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Problemy Peredachi Informatsii, 1972, Volume 8, Issue 4, Pages 104–107 (Mi ppi874)  
Сorrespondence

Single-Server Queueing System with a Simple Input Process and a Service Time Dependent on the Waiting Time

M. Libura
Full-text PDF (381 kB)
Abstract: A single-server queueing system with a Poisson input process and a service time that depends on the waiting time is analyzed. An integrodifferential equation is derived for the virtual waiting-time distribution function, and a method is proposed for its solution. The solution of the well-known Barrer problem is discussed as a special case of the investigated model.
Received: 20.11.1970
Bibliographic databases:
Document Type: Article
UDC: 519.152
Language: Russian
Citation: M. Libura, “Single-Server Queueing System with a Simple Input Process and a Service Time Dependent on the Waiting Time”, Probl. Peredachi Inf., 8:4 (1972), 104–107; Problems Inform. Transmission, 8:4 (1972), 357–360
Citation in format AMSBIB
\Bibitem{Lib72}
\by M.~Libura
\paper Single-Server Queueing System with a Simple Input Process and a Service Time Dependent on the Waiting Time
\jour Probl. Peredachi Inf.
\yr 1972
\vol 8
\issue 4
\pages 104--107
\mathnet{http://mi.mathnet.ru/ppi874}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=378140}
\zmath{https://zbmath.org/?q=an:0325.60093}
\transl
\jour Problems Inform. Transmission
\yr 1972
\vol 8
\issue 4
\pages 357--360
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