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Queue Formation: General Models

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A Concise Introduction to Traffic Engineering

Part of the book series: Springer Tracts in Civil Engineering ((SPRTRCIENG))

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Abstract

This chapter deals with the models for studying queues in road transport systems under a unitary approach. They are the probabilistic models for stationary state, the deterministic solutions in congestion, the heuristic solutions for stationary and non-stationary states. The treatment of these models is unusual but can be directly applied to practical cases.

The author of this Chapter is Andrea Pompigna.

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References

  1. Kleinrock L (1976) Queueing systems. In: Volume 2: computer applications. Wiley, New York

    Google Scholar 

  2. Shortle JF, Thompson JM, GrossD, Harris CM (2018) Fundamentals of queueing theory, vol. 399. Wiley & Sons

    Google Scholar 

  3. El-Taha M, Stidham S Jr (1992) Deterministic analysis of queueing systems with heterogeneous servers. Theoret Comput Sci 106(2):243–264

    Article  MathSciNet  Google Scholar 

  4. Morse PM (1962) Queues, inventories and maintenance. Wiley

    Google Scholar 

  5. Troutbeck RJ, Brilon W (2000) Unsignalized intersection theory. In: Gartner N, Messner CJ, Rathi AK (eds) Traffic flow theory. TRB Special Report, TRB, Washington, DC

    Google Scholar 

  6. Mauro R (2010) Calculation of roundabouts. Springer

    Google Scholar 

  7. Kimber RM, Hollis EM (1979) Traffic queues and delays at road junctions. Transport and Road Research Laboratory Report No. LR909. TRRL, Crowthorne, UK

    Google Scholar 

  8. Mauro R, Pompigna A (2020) State of the art and computational aspects of time-dependent waiting models for non-signalised intersections. J Traffic Transp Eng. https://doi.org/10.1016/j.jtte.2019.09.007

    Article  Google Scholar 

  9. TRB (2010) Highway capacity manual, 5th edn. TRB, Washington DC

    Google Scholar 

  10. Richard D, Paul R, Bastian S et al (2016) Planning and preliminary engineering applications guide to the highway capacity manual. NCHRP REPORT 825. TRB, Washington DC

    Google Scholar 

  11. Wu N (2009) Dimension calculation uncertainties in queuing models. In: Logistics: the emerging frontiers of transportation and development in china, Proceedings 8th international conference on Chinese logistics and transportation professionals (ICCLTP), ASCE, VA, pp 4745–4753

    Google Scholar 

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Correspondence to Raffaele Mauro .

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Guerrieri, M., Mauro, R. (2021). Queue Formation: General Models. In: A Concise Introduction to Traffic Engineering. Springer Tracts in Civil Engineering . Springer, Cham. https://doi.org/10.1007/978-3-030-60723-4_8

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  • DOI: https://doi.org/10.1007/978-3-030-60723-4_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-60722-7

  • Online ISBN: 978-3-030-60723-4

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