M/M/1/k后馈系统中的随机过程

基金项目:

国家自然科学基金资助的项目.

PROCESSES IN M/M/1/k FEEDBACK QUEUEING SYSTEMS

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.