On the estimation of mixing coefficients for a multiphase service system

We consider a multiphase service system with a Poisson input flow. Its intensity depends on the number of customers under service. The stationary distribution for this system can be found in an explicit form. We study the rate of convergence to this stationary distribution as well as the bounds for some mixing coefficients. Coupling arguments and Liapunov's function approach form the basis of considerations. This revised version was published online in June 2006 with corrections to the Cover Date.