Reservoirs with Seasonally Varying Markovian Inflows and Their First Passage Times

Lloyd EH (1977). Reservoirs with Seasonally Varying Markovian Inflows and Their First Passage Times. IIASA Research Report. IIASA, Laxenburg, Austria: RR-77-004

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Abstract

The research develops the concept of the seasonal lag-1 Markov chain for modelling a sequence of river flow values in consecutive "seasons", a "season" being of arbitrary duration, e.g. 5 days, 1 month, etc. Methods are developed and utilized to obtain the probability distribution of recurrence times and first passage times in such chains, and it is shown how to use these results to obtain the distribution of the waiting time to the next occurrence of a specified storage level in a reservoir subject to an inflow process of the kind considered.

Item Type: Monograph (IIASA Research Report)
Research Programs: Resources and Environment Area (REN)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:44
Last Modified: 06 Nov 2016 07:20
URI: http://pure.iiasa.ac.at/711

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