Computational Analysis of Queues with Catastrophes in a Multiphase Random Environment

Computational Analysis of Queues with Catastrophes in a Multiphase Random Environment

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 repaire...

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Main Authors: G. Arul Freeda Vinodhini, V. Vidhya
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2016/2917917
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spelling doaj-f48c87a04600464cae8a0a4e581760152020-11-25T00:49:07ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472016-01-01201610.1155/2016/29179172917917Computational Analysis of Queues with Catastrophes in a Multiphase Random EnvironmentG. Arul Freeda Vinodhini0V. Vidhya1Bharathiar University and SSE, Saveetha University, Chennai, IndiaSSE, Saveetha University, Chennai, IndiaA 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.http://dx.doi.org/10.1155/2016/2917917
collection DOAJ
language English
format Article
sources DOAJ
author G. Arul Freeda Vinodhini
V. Vidhya
spellingShingle G. Arul Freeda Vinodhini
V. Vidhya
Computational Analysis of Queues with Catastrophes in a Multiphase Random Environment
Mathematical Problems in Engineering
author_facet G. Arul Freeda Vinodhini
V. Vidhya
author_sort G. Arul Freeda Vinodhini
title Computational Analysis of Queues with Catastrophes in a Multiphase Random Environment
title_short Computational Analysis of Queues with Catastrophes in a Multiphase Random Environment
title_full Computational Analysis of Queues with Catastrophes in a Multiphase Random Environment
title_fullStr Computational Analysis of Queues with Catastrophes in a Multiphase Random Environment
title_full_unstemmed Computational Analysis of Queues with Catastrophes in a Multiphase Random Environment
title_sort computational analysis of queues with catastrophes in a multiphase random environment
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2016-01-01
description 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.
url http://dx.doi.org/10.1155/2016/2917917
work_keys_str_mv AT garulfreedavinodhini computationalanalysisofqueueswithcatastrophesinamultiphaserandomenvironment
AT vvidhya computationalanalysisofqueueswithcatastrophesinamultiphaserandomenvironment
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