Forecasting anticipated incomes in the Markov networks with positive and negative customers

A method for determination of the time dependence of the anticipated income in the systems of Markov queuing networks with incomes and positive and negative customers was proposed. Subject to this proviso, the incomes from the transitions between the network states are deterministic functions depending on its state and time, and the system incomes in a time unit when they do not change their states depend only on these states. An illustrative example of calculations was given which shows that the anticipated incomes of the network systems can be both increasing and decreasing time functions assuming positive and negative values.