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313793

Some Results on a Batch Arrival Poisson Queue with a General Setup Time

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Last updated: 05 Jan 2025

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Abstract

We consider a single server queue with Poisson arrival of customers in batches of random size and a general setup time, where the service of the first customer in each busy period is preceded by a random setup time, on completion of which service begins. We are concerned with the steady state distributions of the additional queue size, additional delay and the queue waiting time distribution.  

DOI

10.21608/esju.2002.313793

Keywords

Mx/ M /1 Queue, Setup Time, Multiple Vacation Policy, Additional Queue Size, Additional Delay, waiting time

Volume

46

Article Issue

2

Related Issue

43026

Issue Date

2002-12-01

Publish Date

2002-12-01

Page Start

118

Page End

128

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313793.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313793

Order

1

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

Some Results on a Batch Arrival Poisson Queue with a General Setup Time

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Type

Article

Created At

28 Dec 2024