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Computational analysis of queues with catastrophes in a multiphase random environment
G.A.F. Vinodhini,
Published in Hindawi Limited
2016
Volume: 2016
   
Abstract
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. © 2016 G. Arul Freeda Vinodhini and V. Vidhya.
About the journal
JournalMathematical Problems in Engineering
PublisherHindawi Limited
ISSN1024123X