Analytical solution of common overflow traffic model

In this paper, the serving model with two Poisson traffics in primary group, whereupon the rejected calls of one of them are directed to the alternative groups in sequence, is investigated. Serving intensity is changed from primary and gets different values in other groups. Generating function technique is used for the analytical solving steady state equations system. Obtained general solution for the state probabilities permits efficient traffic parameters calculation. For the case with secondary and ternary group, explicit solutions for traffic parameters are derived and graphically analyzed. This model is applicable in traditional and next generation networks with alternative routing and admission control.

[1]  Haruo Akimaru,et al.  Teletraffic: Theory and Applications , 1993 .

[2]  Qian Huang,et al.  Approximation of loss calculation for hierarchical networks with multiservice overflows , 2008, IEEE Transactions on Communications.

[3]  Gerald R. Ash,et al.  Dynamic Routing in Telecommunications Networks , 1997 .

[4]  Mariusz Glabowski,et al.  Modeling of Systems with Overflow Multi-Rate Traffic , 2007, The Third Advanced International Conference on Telecommunications (AICT'07).

[5]  R. I. Wilkinson.  Theories for toll traffic engineering in the U. S. A. , 1956 .

[6]  Scotty Neal.  Combining correlated streams of nonrandom traffic , 1971 .

[7]  Bojan M. Bakmaz,et al.  Traffic models with changed serving intensities in secondary and ternary groups , 2011, 2011 10th International Conference on Telecommunication in Modern Satellite Cable and Broadcasting Services (TELSIKS).

[8]  B. Bakmaz,et al.  Traffic parameters influences on network selection in heterogeneous wireless environment , 2012, 2012 19th International Conference on Systems, Signals and Image Processing (IWSSIP).

[9]  Bojan Bakmaz,et al.  Solving some overflow traffic models with changed serving intensities , 2012 .

[10]  Villy B. Iversen.  Systems with selective overflow and change of bandwidth , 2012, 2012 1st IEEE International Conference on Communications in China (ICCC).