An application of queueing theory in hydrology

Authors

  • Mario Lefebvre Department of Mathematics and Industrial Engineering, Polytechnique Montréal, C.P. 6079, Succursale Centre-ville, Montréal, Québec, Canada H3C 3A7

DOI:

https://doi.org/10.1478/AAPP.97S2A18

Keywords:

Forecasting, Markov processes, limiting probabilities

Abstract

A model is considered for the flow of a river when it is high. The model is based on queueing theory. An application to the Delaware River, located in the United States, is presented. It is shown that an M/M/1/c queueing model is realistic when the flow exceeds a certain threshold. Using this model, one can forecast what would happen if the rate at which events occur increases. The results can be extended by considering more general birth-and-death stochastic processes.

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Published

2019-12-20

Issue

Vol 97, SUPPL NO 2 (2019): NACS 2017

Section

NACS 2017 (Conference Proceedings)

License

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