摘要
This paper presents an algorthmic procedure for a busy-period subcomponent analysis of bulkqueues. A component of interest for many server queues is the period tto reduce congestion froma level k to level k-1. For an M(x)/M/c system with the possibility of total or partial rejection ofbatches, it is demonstrated that the expected length of busy periods, the proportion of delayed batchand the steady state queue length probabilities can be easily obtained. The procedure is based on thenested partial sums and monotonic properties of expected lengths of the busy periods.
This paper presents an algorthmic procedure for a busy-period subcomponent analysis of bulkqueues. A component of interest for many server queues is the period t_k to reduce congestion froma level k to level k-1. For an M(x)/M/c system with the possibility of total or partial rejection ofbatches, it is demonstrated that the expected length of busy periods, the proportion of delayed batchand the steady state queue length probabilities can be easily obtained. The procedure is based on thenested partial sums and monotonic properties of expected lengths of the busy periods.
