Abstract:
The objective of this research article is to present innovative mathematical expressions that describe the steady-state distribution of buffer content within a fluid queue influenced by an M/M/1 queue with feedback. The resulting distribution is represented using modified Bessel functions, specifically, the second-kind Bessel function modifications. These modifications offer various advantageous properties and notably simplify the mathematical complexity involved in the analysis. This novel approach proves valuable for investigating dynamic queue systems, as it enhances the efficiency of generating stationary distribution data.