Title	Catastrophes and Queueing Systems with Time-Varying Periodic Transition Rates
Creator	Margolius, Barbara
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-08-21T10:31
Description	We study the asymptotic periodic distribution of queues with time-varying periodic transition rates and catastrophes that occur randomly according to an exponential distribution with time-varying periodic rate. When a disaster occurs, the system resets, all customers are lost and an exponentially distributed period of time elapses before the repair is complete. Service is governed by a phase distribution. The asymptotic periodic distribution of the queue process is analogous to the steady state distribution for a system with constant transition rates.
Extent	26.0 minutes
Subject	Mathematics; Mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Cleveland State University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2021-02-18
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395905
URI	http://hdl.handle.net/2429/77329
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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