Title	Double-Sided Queues with Marked Markovian Arrival Processes and Abandonment
Creator	Wu, Haoran
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-08-21T09:33
Description	In this paper, we study a double-sided queueing model with marked Markovian arrival processes and finite discrete abandonment times. We apply the theory of multi-layer Markov modulated fluid flow (MMFF) processes to analyze the queueing model. First, we define three age processes for the queueing system and convert them into a multi-layer MMFF process. Then we analyze the multi-layer MMFF process to find queueing performance measures related to the age processes, matching rates/probabilities, waiting times, and queue lengths for both sides of the queueing system. We obtain a number of aggregate quantities as well as quantities for individual types of inputs, which can be useful for the analysis and design of, for examples, passenger-taxi service systems and organ transplantation systems.
Extent	21.0 minutes
Subject	Mathematics; Mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Waterloo
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	10.14288/1.0395902
URI	http://hdl.handle.net/2429/77326
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Double-Sided Queues with Marked Markovian Arrival Processes and Abandonment Wu, Haoran

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