Abstract
In this chapter we shall look briefly at four cases in which queueing theory was applied to obtain operational solutions to real problems. These cases differ from those discussed in the three preceding and three following chapters in that they are not based upon studies undertaken in British European Airways or Air Canada, nor was the writer involved in any of them.
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Notes on Sources and References
Tocher, K. D. The Role of Models in Operational Research (1961), J. Roy. Statist. Soc., Part 2.
This section is based upon the most interesting paper: Friend, J. K. Two Studies in Airport Congestion (1958), Operat. Res. Quart., 9, No. 3.
This is the most celebrated account of an operational research study of a non-telephone type queueing problem which has so far appeared. The reader’s attention is drawn to the fact that in Edie’s study, as in those reported in Chapters 9 and 10, a relationship was established between mean service-time and queue-length (or mean arrival rate). Here then are three cases where one of the leading assumptions of classical queueing-theory (formulated under the predominant influence of telephone traffic engineering) which was stated in Chapter 2-namely independence of the service-time distribution-does not hold. It is a desirable experience to read: Edie, L. C. Traffic Delays at Toll Booths (1954), Operat. Res., 2, No. 2.
For a fuller review, see: Jackson, R. R. P., Welch, J. D. and Fry, J. Appointments Systems in Hospitals and General Practice (1964), Operat. Res. Quart., 15, No. 3.
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© 1966 Alec M. Lee
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Lee, A.M. (1966). Four Selected Case Histories. In: Applied Queueing Theory. Studies in Management. Palgrave, London. https://doi.org/10.1007/978-1-349-00273-3_12
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DOI: https://doi.org/10.1007/978-1-349-00273-3_12
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