Queueing models of re-entrant lines with semi infinite buffer capacities are developed under buffer priority scheduling policies. On the assumption of Poisson arrival and exponential processing times, the models can be formulated as a standard form of Quasi-birth-and death(QBD) type. Then non-linear matrix equations can be used to solve the static performances of the systems. Not only can numerical results be worked out but also a preferable method for oomparison between disciplines is available for such systems.
Multi-class queueing network, performance analysis, re-entrant lines, modelling
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