Abstract
A practically important problem is the computation of transient performance measures for the M/M/1 queue. Trigonometric integral representations are very well suited for that purpose. This paper reviews a number of results that can be found scattered in the literature and also provides the practitioner simple recommendations for calculating routinely the M/M/1 performance measures.
Zusammenfassung
Ein für die Praxis bedeutsames Problem besteht in der numerischen Berechnung nichtstationärer Leistungsmaße für M/M/1-Warteschlangensysteme. Für diesen Zweck sehr gut geeignet sind trigonometrische Integral-Darstellungen. Der vorliegende Aufsatz enthält einen Überblick über eine Anzal in der Literatur zu findenden Ergebnisse und gibt dem Praktiker einfache Empfehlungen zur routinemäßigen Berechnung der M/M/1-Leistungsmaße.
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van de Coevering, M.C.T. Computing transient performance measures for the M/M/1 queue. OR Spektrum 17, 19–22 (1995). https://doi.org/10.1007/BF01719726
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DOI: https://doi.org/10.1007/BF01719726