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New Approach for Finding Performance Measures of Continuous-time Server Queue With Negative Customers

A single-server continuous-time queue that adopt first come first serve (FCFS) queueing discipline with negative customers is studied. The arrival of a negative customer in the queue will remove one positive customer at the head if the system is not empty (RCH) and only positive customers will rece...

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Main Author: Chin, Ching Herny
Format: Final Year Project / Dissertation / Thesis
Published: 2018
Subjects:
Q Science (General)
QA Mathematics
Online Access:http://eprints.utar.edu.my/3608/1/SCA%2D2018%2D1601639%2D1.pdf
http://eprints.utar.edu.my/3608/
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spelling my-utar-eprints.36082019-12-04T12:24:13Z New Approach for Finding Performance Measures of Continuous-time Server Queue With Negative Customers Chin, Ching Herny Q Science (General) QA Mathematics A single-server continuous-time queue that adopt first come first serve (FCFS) queueing discipline with negative customers is studied. The arrival of a negative customer in the queue will remove one positive customer at the head if the system is not empty (RCH) and only positive customers will receive service. In this research, a fairly general queueing model with negative customers that can represent more wide applications in real world is solved. An alternative approach will be applied to derive a set of equations which is using to find the stationary queue length distributions of this model. In the alternative numerical approach, interarrival time and/or service time distributions of the positive customers are assumed to have Constant Asymptotic Rate (CAR) when time t goes to infinity. Whereas negative customer arrives to the system according to a Poisson process.Expressions will also be derived analytically to find the stationary queue length distribution for the M/M/1, M/CAR/1, GI/M/1 and CAR/CAR/1 queues with negative customers. The stationary probabilities found from the alternative and analytical approaches are used to find the waiting time distribution. Results computed by both the proposed numerical and analytical methods are compared and discussed. All the results will be verified by those obtained from the simulation procedure. 2018 Final Year Project / Dissertation / Thesis NonPeerReviewed application/pdf http://eprints.utar.edu.my/3608/1/SCA%2D2018%2D1601639%2D1.pdf Chin, Ching Herny (2018) New Approach for Finding Performance Measures of Continuous-time Server Queue With Negative Customers. Master dissertation/thesis, UTAR. http://eprints.utar.edu.my/3608/
institution Universiti Tunku Abdul Rahman
building UTAR Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tunku Abdul Rahman
content_source UTAR Institutional Repository
url_provider http://eprints.utar.edu.my
topic Q Science (General)
QA Mathematics
spellingShingle Q Science (General)
QA Mathematics
Chin, Ching Herny
New Approach for Finding Performance Measures of Continuous-time Server Queue With Negative Customers
description A single-server continuous-time queue that adopt first come first serve (FCFS) queueing discipline with negative customers is studied. The arrival of a negative customer in the queue will remove one positive customer at the head if the system is not empty (RCH) and only positive customers will receive service. In this research, a fairly general queueing model with negative customers that can represent more wide applications in real world is solved. An alternative approach will be applied to derive a set of equations which is using to find the stationary queue length distributions of this model. In the alternative numerical approach, interarrival time and/or service time distributions of the positive customers are assumed to have Constant Asymptotic Rate (CAR) when time t goes to infinity. Whereas negative customer arrives to the system according to a Poisson process.Expressions will also be derived analytically to find the stationary queue length distribution for the M/M/1, M/CAR/1, GI/M/1 and CAR/CAR/1 queues with negative customers. The stationary probabilities found from the alternative and analytical approaches are used to find the waiting time distribution. Results computed by both the proposed numerical and analytical methods are compared and discussed. All the results will be verified by those obtained from the simulation procedure.
format Final Year Project / Dissertation / Thesis
author Chin, Ching Herny
author_facet Chin, Ching Herny
author_sort Chin, Ching Herny
title New Approach for Finding Performance Measures of Continuous-time Server Queue With Negative Customers
title_short New Approach for Finding Performance Measures of Continuous-time Server Queue With Negative Customers
title_full New Approach for Finding Performance Measures of Continuous-time Server Queue With Negative Customers
title_fullStr New Approach for Finding Performance Measures of Continuous-time Server Queue With Negative Customers
title_full_unstemmed New Approach for Finding Performance Measures of Continuous-time Server Queue With Negative Customers
title_sort new approach for finding performance measures of continuous-time server queue with negative customers
publishDate 2018
url http://eprints.utar.edu.my/3608/1/SCA%2D2018%2D1601639%2D1.pdf
http://eprints.utar.edu.my/3608/
_version_ 1654964132198219776
score 13.211869

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