| Title | Generating Power Law Behaviour in Broadband Communication Networks |
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Prof. Karmeshu Professor, School of Computer and Systems Sciences, Jawaharlal Nehru University, Delhi, India Email: karmeshu@gmail.com |
Dr. Karmeshu is Professor in School of Computer and Systems Sciences in the Jawaharlal Nehru University since 1986 and is currently Dean of the School of Computer and Systems Sciences and Dean, School of Computational and Integrative Sciences. Prior to joining JNU, he was a visiting scientist at University of Stuttgart Germany, visiting Assistant Professor, University of Waterloo, Canada, and visiting Professor National University of Mexico, Mexico. He is a founding Professor at NIIT University Neemrana, Rajasthan and Distinguished research Professor ITM University, Gurgaon. Dr. Karmeshu has published around 100 research papers in international journals. His work has been extensively cited in journals and books. Several books have devoted exclusive sections discussing his mathematical models and techniques as applied to the study of a variety of systems. Prof. Karmeshu has extensively given research seminars in Universities in Europe, Canada, USA and China. He has also delivered several memorial and endowment lectures including Platinum Jubilee lecture in section of Information & Communication Science, in Indian Science Congress 2009.
He worked as a Member of the Editorial Boards of journals including Stochastic Hydrology and Hydraulics by Springer International. Prof. Karmeshu was the elected President of Mathematics Section of 85th session of Indian Science Congress Association. He has been a member of the senate of IIT (Delhi) and IIT (Roorkee) and has been Chairman of the Governing Body of Bhaskaracharya College of Applied Sciences, University of Delhi. Prof. Karmeshu has served on several committees of CSIR, DST, UGC, ICAR. He is a member of Central Connectivity and Monitoring Committee, UGC Infonet Connectivity Programme, FIST program of DST and member of Curriculum Development Committees including Central University of Orissa, Koraput, Central University of Bihar, Patna, and Central University of Himachal Pradesh, Dharmshala. Prof. Karmeshu has extensively contributed to the area of stochastic modeling and simulation of Innovation-Diffusion, Computational Neuroscience and Performance Modelling of Communication Networks. Prof. Karmeshu is a standing committee member of National Mission of Education through ICT.
He is currently President of Indian Society of Mathematical Modelling and Simulation. For his outstanding contributions to mathematical modeling he was awarded Dr. C.M. Jacob Gold Medal of Systems Society of India in 1990 and the most prestigious Shanti Swarup Bhatnagar award for the year 1993.
Abstract
Several studies have revealed that the traffic characteristics in broadband networks exhibit power law behaviour and are modeled by self-similar process. Realizing that well known assumption of Poisson traffic is not adequate; attempts have been made to explore a new modelling approach. One of the powerful approach is based on is based on maximum Tsallis entropy framework. Tsallis entropy involves a non-extensive parameter q which in limit q–>1 yields Shannon entropy. In recent years Tsallis entropy has been successfully employed to study complex networks as well. This approach has been broadened and applied to investigate communication networks. It is interesting to point out that the use of maximum Tsallis entropy framework has not only captured the desired behaviour but also yielded closed form analytical expressions for queue length distribution, loss probability in finite buffer queuing system etc. A new phenomenon of bimodal behaviour of loss system can be regarded as an emergent behaviour of non-linear dynamical systems.
