排队论的局限与排队模拟的数学本质

THE LIMITS OF QUEUEING THEORY AND THE ESSENCE OF QUEUEING SIMULATION

排队现象是工程技术和社会生活中广泛存在的一种现象。对它进行量的研究将有助于通信、计算机、航天和电子对抗领域一大类问题的解决。排队论［１］为此己做出了重要贡献，但有局限。排队模拟可克服这些局限，提出了排队系统的新定义；对排队论己有成果进行了回顾和分析；指出用Ｌｉｎｄｌｅｙ定理验证非泊松到达的等待时间｛Ｗｎ｝的分布函数之所以十分困难的原因；提出排队论的三点局限；分析了排队模拟的数学本质；指出排队模拟实际上是数列环上的运算。

ueueing is a very popular and very important phenomenon in engineering and society.The analysis and study of it will contribute to solve a lot of problems in comlllunicati on. computer.aerospace and ECM. The Queueing theory has go some imp ortant results in aboye mentioned fields.Queueing simulation cixn compensate Queueing theory for its limits.A new definition of queue system has been offered in the paper.Review and snalysis of the previous results of Queueing theory are given three limits of Queueing theory are presented, and that essence of queueing simulation is in fact a digital filtering is p ointed out.