On insensibility of stationary distribution of state probabilities of piecewise continuous queueing network with multimode servicing

The open piecewise continuous queueing network with multimode service and polytypic demands is considered. The quantity of work, which is necessary for switching from one strategy to another, is random variable with arbitrary distribution function. The dispatching rule is DPS. It was proved that stationary distribution is invariant in relation to functional form of distribution of works quantities, which are necessary for switching of strategies of devices in units, on condition that first moments of these distributions are fixed.