J4 ›› 2011, Vol. 46 ›› Issue (1): 109-113.
• 数学 • 上一篇 下一篇
于加尚
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基金资助:
山东省自然科学基金资助项目(Y2008A16)
YU Jia-shang
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摘要：
为了刻画通信网络中自动请求重发 (automatic repeat request, ARQ)通信协议,将其模型化转为一个带有启动时间的GI／G／1排 队系统。首先建立了服务员的闲期所满足的上下界函数关系, 后利用此关系证明了该排队系统队长、负荷和忙期过程的扩散逼近,近似刻画了系统指标。
关键词: 带有启动时间的GI／G／1排 队系统；流体逼近；扩散逼近
Abstract:
A GI／G／1 queue with setup times was modelled to describe the automatic repeat request (ARQ) protocol in communication network. First, a functional lower and upper bound for the idle time was constructed, and then the bound relation was used to obtain the diffusion approximations for the queue length, workload and busy time processes.
Key words: GI／G／1 queue with setup times; fluid approximation; diffusion approximation
于加尚. 带有启动时间的GI／G／1排队系统的扩散逼近[J]. J4, 2011, 46(1): 109-113.
YU Jia-shang. On the fluid approximation for GI／G／1 queue with setup times[J]. J4, 2011, 46(1): 109-113.
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