Title	Performance Analysis of a Markovian Queue with Service Rate and Customers' Joining Decisions
Creator	Zhang, George
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-08-22T11:29
Description	We consider the customers' equilibrium strategy and socially optimal strategy in a single server Markovian queueing system with changeable service rates controlled by a threshold. When a customer arrives at an empty system, he is served by the server at a lower service rate. When the queue length reaches the threshold, customers are served at a high service rate. The optimal joining strategies of customers are studied under two information scenarios. The first scenario, where the server' state and the queue length are observable, is called a fully observable case. The second scenario, where the system state is not observable, is called an unobservable case. We analyze the steady-state distribution and performance measures of the system, and derive the equilibrium strategy. Finally, we compare the equilibrium strategy with socially optimal strategy via numerical examples.
Extent	29.0 minutes
Subject	Mathematics; Mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Simon Fraser University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2021-02-19
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395919
URI	http://hdl.handle.net/2429/77343
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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Performance Analysis of a Markovian Queue with Service Rate and Customers' Joining Decisions Zhang, George

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