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Delay Differential Equation Models for Queueing Theory.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Delay Differential Equation Models for Queueing Theory.
Author:	Doldo, Philip Michael.
Published:	Ann Arbor : ProQuest Dissertations & Theses, 2022
Description:	235 p.
Notes:	Source: Dissertations Abstracts International, Volume: 83-12, Section: B.
Notes:	Advisor: Pender, Jamol.
Contained By:	Dissertations Abstracts International83-12B.
Subject:	Applied mathematics.
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=29168138
ISBN:	9798819369029

Delay Differential Equation Models for Queueing Theory.
Doldo, Philip Michael.

Delay Differential Equation Models for Queueing Theory. - Ann Arbor : ProQuest Dissertations & Theses, 2022 - 235 p.

Source: Dissertations Abstracts International, Volume: 83-12, Section: B.

Thesis (Ph.D.)--Cornell University, 2022.

This item must not be sold to any third party vendors.

In many service systems, customers are often presented with information about queue lengths or waiting times. This information has the potential to influence the decisions of customers on whether or not to join a queue to receive service. However, it is often the case that the information that customers receive is not given in real time and has some inherent delay. For example, the information provided could be updated periodically and therefore the customer receives information about the system from some time in the past. In this thesis, we focus our attention on fluid models of queueing systems. Generally, the fluid models in this thesis are the limiting objects of scaled stochastic systems and take the form of delay differential equations. We show that the dynamics of the queueing system can change dramatically depending on how large the delay in information is. Thus, our main goal in this thesis is to explore and understand how the type of delay and the size of the delay impact the underlying dynamics of different queueing models.

ISBN: 9798819369029Subjects--Topical Terms:

377601
Applied mathematics.
Subjects--Index Terms:

Delay differential equations

Delay Differential Equation Models for Queueing Theory.
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100 1 $a Doldo, Philip Michael. $0 (orcid)0000-0002-9039-7966 $3 942427
245 1 0 $a Delay Differential Equation Models for Queueing Theory.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2022
300 $a 235 p.
500 $a Source: Dissertations Abstracts International, Volume: 83-12, Section: B.
500 $a Advisor: Pender, Jamol.
502 $a Thesis (Ph.D.)--Cornell University, 2022.
506 $a This item must not be sold to any third party vendors.
520 $a In many service systems, customers are often presented with information about queue lengths or waiting times. This information has the potential to influence the decisions of customers on whether or not to join a queue to receive service. However, it is often the case that the information that customers receive is not given in real time and has some inherent delay. For example, the information provided could be updated periodically and therefore the customer receives information about the system from some time in the past. In this thesis, we focus our attention on fluid models of queueing systems. Generally, the fluid models in this thesis are the limiting objects of scaled stochastic systems and take the form of delay differential equations. We show that the dynamics of the queueing system can change dramatically depending on how large the delay in information is. Thus, our main goal in this thesis is to explore and understand how the type of delay and the size of the delay impact the underlying dynamics of different queueing models.
590 $a School code: 0058.
650 4 $a Applied mathematics. $3 377601
653 $a Delay differential equations
653 $a Delayed information
653 $a Distributed delay equations
653 $a Functional differential equation
653 $a Hopf bifurcation
653 $a Queueing theory
690 $a 0364
710 2 $a Cornell University. $b Applied Mathematics. $3 942428
773 0 $t Dissertations Abstracts International $g 83-12B.
790 $a 0058
791 $a Ph.D.
792 $a 2022
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=29168138