Probability Characteristic Computation Algorithm of ONUs Functioning in PON

A problem in the mathematical teletraffic theory of passive optical networks (PON) with time division multiple access (TDMA) is to divide timing budget between optical network units to optimize the network performance. For the task we examine a segment of the passive optical network with wavelength division multiplexing (WDM) and time division multiple access technologies. An extend model of the segment is developed and an allocation problem of wavelength finite number between optical network units is resolved in the article. The optical network unit does not receive data from optical line terminal and send data to optical line terminal being in passive state. The algorithm for calculating of the probability of being each optical network unit in passive state is proposed. Finally, a problem for further research is formulated. It is the algorithm for calculation of call blocking probability in upstream traffic models for WDM-TDMA PON.

Passive Optical Network (PON), Optical Line Terminal (OLT), Optical Network Unit (ONU), Wavelength Division Multiplexing (WDM), Time Division Multiple Access (TDMA), stationary probability distribution