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313792

Two Types of Sequential-Cum-Parallel General Optional Service in a Single Server Queue

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Last updated: 05 Jan 2025

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Abstract

We analyze a single server queue with two types of optional general heterogeneous service. Under different options for the customers, the server provides sequential-cum-parallel service. Just before his service starts, a customer has the option to choose both services in succession or only one of the two types of services. Steady state probability generating functions for various states of the system have been obtained in explicit and closed form. Some special cases have also been discussed.  

DOI

10.21608/esju.2002.313792

Keywords

Optional General Heterogeneous Service, Steady state, Probability generating function

Volume

46

Article Issue

1

Related Issue

43025

Issue Date

2002-06-01

Publish Date

2002-06-01

Page Start

92

Page End

117

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313792.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313792

Order

6

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Two Types of Sequential-Cum-Parallel General Optional Service in a Single Server Queue

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Type

Article

Created At

28 Dec 2024