International Journal of Advanced Networking and Applications

Diwakar Shukla ¹, Virendra Kumar Tiwari ², Sanjay Thakur ², Mohan Tiwari ³

Affiliations
1 Department of Mathematics and Statistics, Sagar University, Sagar-470003, M.P., IN
2 Department of Computer Science & Applications, Sagar University, Sagar-470003, M.P., IN
3 Department of Physics & Electronics, Sagar University, Sagar-470003, M.P., IN

Abstract

Naldi presented a Markov chain model based analysis for the user’s behaviour in a simple scenario of two competitors. The model is applied to predict influence of both parameters (blocking probability and initial preference) on the traffic distribution between the operators. It is also shown that smaller blocking competitors can be benefited from call-by-call basis assumption. In this paper this criteria of Call-by-call attempt is converted into two call attempts and new mathematical results are derived. A comparative study between call-attempts is made with Naldi expressions. It is found that, by two-call attempt model, the operator gains more traffic than one-call attempt.

Keywords

Blocking Probability, Call-by-call Basis, Internet Service Provider [Operators], Internet Access, Internet Traffic, Markov Chain Model, Network Congestion, Quality of Service (QOS), Transition Probability Matrix, Users Behavior.

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Diwakar Shukla ¹, Sanjay Thakur ², Arvind Kumar Deshmukh ²

Affiliations
1 Department of Mathematics and Statistics, Sagar University, Sagar-470003, M.P., IN
2 Department of Computer Science & Applications, Sagar University, Sagar-470003, M.P., IN

Abstract

The Internet is a popular electronic tool to access information around the world. It is controlled by large group of network operators and local Internet service providers. The user is a last node of this network. Billions of people around the world are in the club of internet users at present. The growing demand beyond capability is causing congestion and blocking in networks. There is a kind of inherent competition among operators in market to catch-up more and more users. This paper presents Markov chain model based study of state probability in Internet traffic sharing assuming there are only two operators in a local market in competition. Their network blocking probabilities are mutually compared and simulation study is performed over varying model parameters. It is found that some specific type of users are affected much by networks blocking probability.

Keywords

Blocking Probability, Call-by-Call Basis, Initial Preference, Internet Service Provider [Operators], Internet Access, Internet Traffic, Morkov Chain Model, Network Congestion, Quality of Service (QoS), Simulation, Transition Probability, Transition Probability Matrix, Users Behavior.

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