Effect of payload size on mean response time when message segmentations occur

Effect of payload size on mean response time when message segmentations occur
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发生消息分段时有效负载大小对平均响应时间的影响

DOI:
10.1145/3306309.3306313
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发表时间:
2019
期刊:
VALUETOOLS 2019 - 12th EAI International Conference on Performance Evaluation Methodologies and Tools
影响因子:
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通讯作者:
Takashi Ikegawa
Takashi Ikegawa
中科院分区:
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文献类型:
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作者:
加藤由花;田中麻美子;Sayaka Akiyama;坂井栞;秋山早弥香;野見山大基;Yuka Kato;Sayaka Akiyama;秋山早弥香;成田雅彦;池川 隆司;田村 瞳,永田 晃,塚本 和也;Takashi Ikegawa

文献摘要

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本文研究了有效载荷大小对通信网络的平均响应时间的影响,其中消息分段发生在一个消息到达的物理链路中的突发和分段的数据包。为了实现这一点,我们开发了一个MX/G/1队列,表示多个分段的数据包每次到达和相关的数据包大小序列内的消息,给定的有效载荷大小和消息大小分布。从数值结果中,我们表明,在低提供的负载条件的情况下,一个数据包的平均响应时间的曲线是凹的有效载荷大小的实际情况下,Web对象是通过物理链路交付。此外,我们推导出的有效载荷大小的解析形式产生的最小响应时间的情况下,没有提供的负载条件时,消息大小呈指数分布,这是近似给定的<$2 <$(m)<$(h)/3,其中<$(m)是平均消息大小和<$(h)是头部/尾部的大小。
This paper investigates the effect of payload size on mean response time for communication networks where message segmentations occur and segmented packets within a message arrival over a physical link in bursts. To achieve this, we develop an MX/G/1 queue that represents multiple segmented packets per arrival and a correlated packet size sequence within a message, given a payload size and a message-size distribution. From numerical results, we show that the curves of the mean response time for a packet in the case of low offered load conditions are concave in payload sizes for an actual scenario where Web objects are delivered over a physical link. In addition, we derive the analytical form of a payload size yielding the minimum response time in the case of no offered load conditions when message sizes are exponentially distributed, which is approximately given by √2 ℓ(m) ℓ(h)/3 where ℓ(m) is the mean message size and ℓ(h) is the header/trailer size.