Beta
ManageSearchChatDiscover
316603

The Asymptotic Mathematical Expectation for the Time at Which the Number of Customers in the M/G/1 Queue Reaches a finite Number for the First Time

Article

Last updated: 28 Dec 2024

OverviewSimilar Items

Subjects

-

Tags

-

Abstract

In this paper the mathematical expectation and its asymptotic value for the time ζₙ at which the number of customers in the queue reaches n for the first time are derived for a M/G/1 bulk service queue. Moreover the fundamental lemmas and a limit theorem are obtained.

DOI

10.21608/esju.1984.316603

Keywords

Asymptotic Mathematical Expectation, First Time, Limit Theorem, M/G/1 Queue, Number of Customers

Authors

First Name

G.

Last Name

Mokaddis

MiddleName

S.

Affiliation

-

Email

-

City

-

Orcid

-

Volume

28

Article Issue

2

Related Issue

43410

Issue Date

1984-12-01

Receive Date

2023-09-07

Publish Date

1984-12-01

Page Start

37

Page End

56

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_316603.html

Detail API

https://esju.journals.ekb.eg/service?article_code=316603

Order

2

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

The Asymptotic Mathematical Expectation for the Time at Which the Number of Customers in the M/G/1 Queue Reaches a finite Number for the First Time

Details

Type

Article

Created At

28 Dec 2024