Optimal control of data transmission in a mobile two-agent robotic system

A method for optimization of parameters of a telecommunication and information network providing data processing and transmission in a mobile two-agent robotic system is considered. The first agent receives a Poisson stream of packets (information blocks) and retransmits them to the second agent for subsequent processing. The first agent loses the input packet if its buffer is overflown; the second agent does not admit the overflow of its buffer by sending a rejection message and requesting packet retransmission. The problem of minimization of input packet loss is solved in the steady-state mode under constraints on the processing time and energy consumption by controlling the transmission rate and rejection probability. Conditions in which the values of the objective and constraint functionals form a convex set are determined. The numerical synthesis of the control is implemented on the basis of the augmented Lagrangian method.