Abstract
The present paper deals exponential congestion model of road traffic flow caused by irregular occurrences. Congestion that is happened by unpredictable events, for example, auto collisions, handicapped vehicles, climate conditions, over burdens and unsafe materials of vehicles. On account of these sorts of sudden occasions, the travel times taken on the roadways are questionable. We established the steady state conditions based on number of vehicles on road links. The large c values of those links, M/M/1 queues model under the batch service interruptions may be used. The formulation and assumptions of the proposed models have been developed. The exponential congestion factor (ECF) models based on M/MSP/C queuing have been presented. Finally, the numerical examples have also been discussed.
Highlights
The present paper deals exponential congestion model of road traffic flow caused by irregular occurrences
The exponential congestion factor (ECF) models based on M/Markovian service process (MSP)/C queuing have been presented
Development of Indicants and Exponential Congestion Factor (ECF) Model based on M/MSP/C [Markovian Poisson arrival process (M), Markovian service process (MSP), the number of servers and roadway capacity (C)] queuing model have been presented
Summary
Yang Shuguo and Yang Xiaoyan (2014) pointed out that it is for all intents and purposes huge to play out the examination to the traffic flow of crossing point in light of the fact that the limit of intersection influences the productivity of main road organize straightforwardly They further explained that the outcome demonstrates that queuing theory is connected in the investigation of crossing point traffic flow and it can give references to the comparative plans. Jain and Smith (1997) shows that how the M/G/C/C state-dependent queuing models for analysing vehicular traffic flow on a roadway segment which can accommodate a finite number of vehicles. Development of Indicants and Exponential Congestion Factor (ECF) Model based on M/MSP/C [Markovian Poisson arrival process (M), Markovian service process (MSP), the number of servers and roadway capacity (C)] queuing model have been presented. Section four Illustration and discussion of the ECF have presented
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Mathematical Journal of Interdisciplinary Sciences
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
