Multiserver Queueing Model subject to Single Exponential Vacation

A multi-server queueing model subject to single exponential vacation is considered. The arrivals are allowed to join the queue according to a Poisson distribution and services takes place according to an exponential distribution. Whenever the system becomes empty, all the servers goes for a vacation...

Full description

Saved in:
Bibliographic Details
Published inJournal of physics. Conference series Vol. 1000; no. 1; pp. 12129 - 12141
Main Authors Vijayashree, K V, Janani, B
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.04.2018
Subjects
Customers
Physics
Poisson distribution
Probability distribution functions
Vacations
Online AccessGet full text
ISSN1742-6588
1742-6596
1742-6596
DOI10.1088/1742-6596/1000/1/012129

Cover

More Information
Summary:A multi-server queueing model subject to single exponential vacation is considered. The arrivals are allowed to join the queue according to a Poisson distribution and services takes place according to an exponential distribution. Whenever the system becomes empty, all the servers goes for a vacation and returns back after a fixed interval of time. The servers then starts providing service if there are waiting customers otherwise they will wait to complete the busy period. The vacation times are also assumed to be exponentially distributed. In this paper, the stationary and transient probabilities for the number of customers during ideal and functional state of the server are obtained explicitly. Also, numerical illustrations are added to visualize the effect of various parameters.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1742-6588
1742-6596
1742-6596
DOI:10.1088/1742-6596/1000/1/012129