Computational Analysis of Queues with Catastrophes in a Multiphase Random Environment
Joint Authors
Vinodhini, G. Arul Freeda
Vidhya, V.
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-03
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A dynamically changing road traffic model which occasionally suffers a disaster (traffic collision, wrecked vehicles, conflicting weather conditions, spilled cargo, and hazardous matter) resulting in loss of all the vehicles (diverted to other routes) has been discussed.
Once the system gets repaired, it undergoes n - 1 trial phases and finally reaches its full capacity phase n.
We have obtained the explicit steady state probabilities of the system via Matrix Geometric Method.
Probability Generating Function is used to evaluate the time spent by the system in each phase.
Various performance measures like mean traffic, average waiting time of vehicles, and fraction of vehicles lost are calculated.
Some special cases have also been discussed.
American Psychological Association (APA)
Vinodhini, G. Arul Freeda& Vidhya, V.. 2016. Computational Analysis of Queues with Catastrophes in a Multiphase Random Environment. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1111954
Modern Language Association (MLA)
Vinodhini, G. Arul Freeda& Vidhya, V.. Computational Analysis of Queues with Catastrophes in a Multiphase Random Environment. Mathematical Problems in Engineering No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1111954
American Medical Association (AMA)
Vinodhini, G. Arul Freeda& Vidhya, V.. Computational Analysis of Queues with Catastrophes in a Multiphase Random Environment. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1111954
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1111954