Generalized model with repeated calls in case of extreme load

Recurrence formulae for finding any desired number of terms in the asymptotic expansion of basic stationary performance measures of a generalized full-available system with repeated calls into a power series of the intensity of primary calls as it tends to infinity are derived. The first 3–4 terms of the expansion are found in explicit form. Other coefficients can be found numerically. It is shown that a number of interesting particular cases can be obtained from the model by proper choice of the values of input parameters. Among them it is worth mentioning models with possibility of call repetitions because of unsuccessful finishing of waiting time, inner blocking or unsuccessful finishing of service time.