The waiting-time distribution and its moments of the PH/PH/1 queue

Performance characteristics for the stable PH/PH/1 queue are usually given in terms of the geometric generator matrix R. The waiting-time distribution, however, can be computed with a formalism that does not make use of this matrix. Instead, a coupling matrix, available at no computational cost, forms the basis for simple expressions from which the waiting-time (and idle-time) distributions and their moments can be efficiently computed.