An application of queueing theory in hydrology

Mario Lefebvre

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.

Keywords


Forecasting, Markov processes, limiting probabilities

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DOI: http://dx.doi.org/10.1478/AAPP.97S2A18

Copyright (c) 2019 Mario Lefebvre

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This work is licensed under a Creative Commons Attribution 4.0 International License.