
doi: 10.1007/bf03009929
The paper presents an algorithm to compute the transient distributions of level-dependent quasi-birth-death processes with linear transition rates at each level. The approach is based on adaptive uniformization. The model covers several queueing systems, for examples the M/M/\(s\)/K retrial queue with impatient customers or certain Markovian retrial queues with two servers. These two examples are discussed in detail.
algorithm, transient distributions, adaptive uniformization technique, level dependent quasi-birth-death processes, linear transition rates, retrial queues, Queueing theory (aspects of probability theory), Performance evaluation, queueing, and scheduling in the context of computer systems
algorithm, transient distributions, adaptive uniformization technique, level dependent quasi-birth-death processes, linear transition rates, retrial queues, Queueing theory (aspects of probability theory), Performance evaluation, queueing, and scheduling in the context of computer systems
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