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Limit Performances and Queuing Effects

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Abstract

Logistic, production and performance stations, systems and networks are passed by discrete objects [DO]. These objects are logistic units, like article units, load units or vehicles, and information units, like orders, documents, data and other digital information. Within the stations the objects are consumed, processed, generated, assembled or dispatched. The limit performances of the stations and transport elements determine the performance capability of the total system. Waiting queues extend the transfer times from the entries and sources to the exits and sinks. Hence, for the design of new systems and the optimisation of existing systems, the limit performances and the queuing effects must be known.

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Notes

  1. 1.

     This dilemma is known to all travellers who have been waiting for ferries or other shuttles that only start, if a sufficient number of passengers shows up.

References

  • Arnold D.: Materialflußlehre, Viehweg, Braunschweig-Wiesbaden, 1995, 3rd edition Springer, Berlin, Heidelberg, New York, 2002

    Google Scholar 

  • Ferschl F.: Zufallsabhängige Wirtschaftsprozesse, Physica Verlag, Wien Würzburg, 1964

    MATH  Google Scholar 

  • Mirasol N.: A queuing approach to logistics systems, Operations Research, 12, 5, 707–724, 1964

    Article  Google Scholar 

  • Saaty T.: Resume of useful formulas in queuing theory, Operations Research, 5, 2, 161–200, 1957

    Article  MathSciNet  Google Scholar 

  • Dorfwirth R.: Wartezeiten und Rückstau von Kraftfahrzeugen an nicht signalgesteuerten Verkehrsknoten. Forschungsarbeiten aus dem Straßenverkehrswesen, Neue Folge, 43, Bad Godesberg, 1961

    Google Scholar 

  • Gross D.: Fundamentals of queuing theory, John Wiley & Sons, 1998

    Google Scholar 

  • Gudehus T.: Zuverlässigkeit und Verfügbarkeit von Transportsystemen, Teil I: Kenngrößen der Systemelemente, f+h 26/10, S.102 6ff, 1976: Teil II: Kenngrößen von Systemen, f+h 26/13, S.1343 ff, 1976: Teil III: Grundformeln für Systeme ohne Redundanz, f+h 29/1, S.23 ff, 1979

    Google Scholar 

  • Gudehus T.: Die mittlere Anzahl von Sammelaufträgen, ZOR Zeitschrift für Operations Research, Würzburg, Band 22, B71-B78, 1978

    Google Scholar 

  • Harders J.: Die Leistungsfähigkeit nicht signalgeregelter Verkehrsknoten. Forschungsbericht, 7, Forschungsgesellschaft e. V. des Bundesverkehrsministe-riums, Bonn, 1968

    Google Scholar 

  • Kleinrock L.: Queuing systems 1 and 2, 1975

    Google Scholar 

  • Lanzendörfer R.: Simulationsmodelle von Transport-, Lager- und Verteilsystemen, Materialflußsysteme II, S. 135 ff., Krausskopf, Mainz, 1975

    Google Scholar 

  • Leutzbach W.: Ein Beitrag zur Zeitlückenverteilung gestörter Verkehrsströme, Dissertation, TH Aachen, 1956

    Google Scholar 

  • Pflug G. Chr.: Optimization of stochastic models: The interface between simulation and optimization, Springer US/Kluwer Academic Publishers, 1996

    Google Scholar 

  • Gudehus T.: Grenzleistungsgesetze für Verteiler- und Zusammenführungselemente, Zeitschrift für Operations Research, Physica Verlag Würzburg, Band 20, 1976 B37-B61, 1975/III

    Google Scholar 

  • Gudehus T.: Staueffekte vor Transportknoten, Zeitschrift für Operations Research, Würzburg, B207 – B252, 1976/I

    Google Scholar 

  • Gudehus T.: Logistik, Grundlagen . Strategien. Anwendungen, Springer, Berlin Heidelberg New York, 1999/2000/2003/2005/2007/2010

    Google Scholar 

  • Kuhn A., Reinhardt A., Wiehndal H.-P., Handbuch der Simulationsanwendungen in Produktion und Logistik, Vieweg, Braunschweig,Wiesbaden, 1993

    Google Scholar 

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Correspondence to Timm Gudehus .

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Gudehus, T., Kotzab, H. (2012). Limit Performances and Queuing Effects. In: Comprehensive Logistics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24367-7_13

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  • DOI: https://doi.org/10.1007/978-3-642-24367-7_13

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