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Über Die Stabilität Des Einfachen Bedienungskanals by G. Schmidt

Über Die Stabilität Des Einfachen Bedienungskanals

by G. Schmidt
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Book cover type: Paperback
  • ISBN13: 9783540066859
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 149
  • Original Price: EUR 70.08
  • Language: German
  • Edition: N/A
  • Item Weight: 264 grams
  • BISAC Subject(s): Engineering (General)

Die vorgetegte Untersuchung dient einer ausführtichen und exakten Darstettung der bei einfachen Warte systemen vom Typ GIIGl1 mit betiebig endtichem Oder unendtichem Warteraum auftretenden Warteschtagenprozesse, der Perioden ununterbrochener Bedienung sowie der Leertaufzeitspannen der jeweitigen Bedienungseinheit bei besonderer Beachtung des Stabititätsverhattens dieser Grö en, wenn Zeit und Warteraum unabhängig voneinander über atte Grenzen wachsen. Die vorgetegte Methode der zusätztichen Variabte zur Ge- winnung eines mehrdimensionaten Markoffprozesses wird auf eine exakte Basis gestettt und daraus die für die Warte- systemtypen MIGl1 und GIIMl1 sowie MIMl1 bekannten Methoden der eingebetteten Markoffketten deduziert. Für diese Speziattypen tiefert die im Fatt GIIGl1 auS- führtich dargestettte Anatyse der Uebergangsfunktion des etabtierten mehrdimensionaten Markoffprozesses bereits bekannte Ergebnisse in zum Teit neuer Sicht und neuen Zusammenhängen. Ein im Markoffproze in natürticher Weise eingebetteter Erneuerungsproze tiefert schtie tich den Schtüsset zu dem Stabititätsverhatten der Wartephänomene. Da der Abhängigkeit die Phänomene von der Warteraumgrö e besondere Aufmerksamkeit zugemessen wird, ergänzten die dargetegten Untersuchungen grundsätztich - aber auch methodisch - die ausführtiche Monographie von Cohen. [The Singte Server Queue, 1969, North HottandJ VI Der Verfasser hofft hiermit einige der wenigen danach noch verbtiebenen Lücken in der Theorie des einfachen Bedienungskanats geschtossen oder doch verkteinert zu haben. Für die dabei notwendige, überaus mühsame, unermüdtiche und sorgfättige schreibtechnische Unterstützung bei der Anfertigung des Manuskriptes sei Frau Katisch besonders gedankt. Saarbrücken, im November 1973 Gerd Schmidt Inhal.t: Seite Einl.eitung I. Das mathematische Modell. 7 Zustands- und Ma räume 1 - 7 Der Zustandsproze 14 2.

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