The general model of the ___ queue with threshold functioning strategy is built. Laplace transforms for distributions of the number of customers іп the system on the busy period, average duration of the busy time, formulas for the ergodic distribution of number of customers and for probability of service are found. Character of dependence of average duration of the busy time and probability of service on the parameter m and threshold level h are studied. For the case __ the problems of optimum synthesis of system with the set probability of loss of the request are solved.

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