Analysis of M/M/1 queue with catastrophe, backup server and feedback

In this article, we present Markovian queueing model with catastrophe, restoration, breakdown with backup server and feedback. Customer arrives according to Poisson. Service time is exponentially distributed. When the server is exposed to sudden failure it should get repaired and get back to service...

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Bibliographic Details
Main Authors: Seenivasan, M., Patricia, F., Vijayalakshmi, R.
Format: Conference Proceeding
Language:English
Subjects:
Customer services
Customers
Feedback
Queuing theory
Online Access:Get full text
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Summary:In this article, we present Markovian queueing model with catastrophe, restoration, breakdown with backup server and feedback. Customer arrives according to Poisson. Service time is exponentially distributed. When the server is exposed to sudden failure it should get repaired and get back to service. At the point when server gets a failur, a backup server will be activated. Feedback is when unsatisfied customer returns to the system again for a service. Matrix geometric method is engaged to solve the model and performance measures are determined.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0215998