M/M/1/k后馈系统中的随机过程
PROCESSES IN M/M/1/k FEEDBACK QUEUEING SYSTEMS
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摘要: 本文对M/M/1/k后馈排队系统中各随机过程的Poisson性进行了讨论,推广了Brémaud(2,3)的相应结果.所得结论表明M/M/1/k后馈系统与M/M/1后馈系统情况有所不同,即在某些情况下,除了总输出过程外,还有其它的过程也可能是Poisson过程.顺便又对M/M/C/k前馈后馈排队系统的动态数学模型进行了严格的讨论.Abstract: We discuss the Poisson characterization of processes in M/M/1/k feedback qneueing systems and generalize the corresponding results in Bremaud 2 and 3. It turns out that the results for M/M/1/k feedback queneing systems are different from that for M/M/1 feedback queueing systems, i.e., apart from the output process, some other processes may be also Poisson under special conditions.