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Analysis of an N-policy GI/M/1 queue in a multi-phase service environment with disasters

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Title: Analysis of an N-policy GI/M/1 queue in a multi-phase service environment with disasters

Creator:

Jiang, Tao ; Ammar, Sherif I. ; Chang, Baoxian ; Liu, Liwei

Date:

Resource Type:

Contributor:

Puig, Vicenç - ed. ; Sauter, Dominique - ed. ; Aubrun, Christophe - ed. ; Schulte, Horst - ed.

Subtitle:

Group publication title:

AMCS, volume 28 (2018)

Abstract:

This paper investigates an N-policy GI/M/1 queue in a multi-phase service environment with disasters, where the system tends to suffer from disastrous failures while it is in operative service environments, making all present customers leave the system simultaneously and the server stop working completely. As soon as the number of customers in the queue reaches a threshold value, the server resumes its service and moves to the appropriate operative service environment immediately with some probability. We derive the stationary queue length distribution, which is then used for the computation of the Laplace-Stieltjes transform of the sojourn time of an arbitrary customer and the server`s working time in a cycle. In addition, some numerical examples are provided to illustrate the impact of several model parameters on the performance measures.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Resource Identifier:

oai:zbc.uz.zgora.pl:85844

DOI:

10.2478/amcs-2018-0028

Pages:

Source:

AMCS, volume 28, number 2 (2018) ; click here to follow the link

Language:

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

N-policy GI/M/1 queue multi-phase service environment disasters sojourn times

Object collections:

Last modified:

Jul 14, 2025

In our library since:

Jul 8, 2025

Number of object content hits:

8

All available object's versions:

https://zbc.uz.zgora.pl/repozytorium/publication/100836

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International Journal of Applied Mathematics and Computer Science (AMCS)

Edition name	Date
Analysis of an N-policy GI/M/1 queue in a multi-phase service environment with disasters	Jul 14, 2025

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Chicago

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