Solving some overflow traffic models with changed serving intensities

Publication year: 2011
Source: AEU – International Journal of Electronics and Communications, In Press, Corrected Proof, Available online 14 June 2011

Bojan M., Bakmaz , Miodrag R., Bakmaz

This paper investigates specific systems with overflow traffic. A primary group with two Poisson traffics is considered whereupon the rejected calls from one traffic are directed to the alternative group with changed serving intensities. The generating function technique is used for analytical solving the model with secondary and ternary groups and the model that separately treated the channels in alternative groups. The obtained analytical solutions essentially reduce the constraints concerning the equation system size, convergence, and calculation time, which arise when numerically solving the steady-state system equations. For the case with single channels in the ternary group, explicit solutions for…