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313783

Computational Analysis of a Multi-Server Bulk Arrival with Two Modes Server Breakdown

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Last updated: 05 Jan 2025

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Abstract

A Monte Carlo study is performed to analyze a multi-server, bulk arrival (M(x)/M/C; C-1/FCFS) queuing system. The system breakdown limits the system to serve with either C or (C-1) servers. The server breakdown has equal chance over all servers in the system while the arrival process is a Poisson process and the distribution of the bulk size X is a positive Poisson bulk sizes. Measures of system performance including mean queue length, mean waiting time, and blocking probability are reported. Numerical results are obtained by simulation of the entire system.  

DOI

10.21608/esju.2003.313783

Keywords

Bulk Arrival, Multi, Server, Server Breakdown, Queueing Models

Volume

47

Article Issue

2

Related Issue

43023

Issue Date

2003-12-01

Publish Date

2003-12-01

Page Start

141

Page End

157

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_313783.html

Detail API

https://esju.journals.ekb.eg/service?article_code=313783

Order

3

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

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

MainTitle

Computational Analysis of a Multi-Server Bulk Arrival with Two Modes Server Breakdown

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Article

Created At

28 Dec 2024