On Bistable Region of Slotted-ALOHA Systems with Delay Constraints
On Bistable Region of Slotted-ALOHA Systems with Delay Constraints
复制标题
DOI：
10.13189/ujcn.2016.040201
复制
发表时间：
2016-09
期刊：
影响因子：
--
通讯作者：
Takayuki Horiuchi;K. Sakakibara;Jumpei Taketsugu
中科院分区：
文献类型：
--
作者：
Takayuki Horiuchi;K. Sakakibara;Jumpei Taketsugu
开槽ALOHA系统的双稳态行为已被广泛研究。本文利用突变理论研究了具有时延约束的时隙ALOHA系统的突变行为。分组的生命周期被限制在D个时隙内，也就是说，分组将在D个时隙的定时器到期后被丢弃，除非分组传输成功。设r为一个时隙内的分组传输概率，当乘积Dr大于约8.30时，系统存在稳定区;当Dr小于约8.30时，系统能以唯一的稳定平衡点运行。
Bistable behavior of slotted ALOHA systems has been extensively investigated. It is proved that bistable region can be eliminated by limiting the number of allowable transmission attempts per packet to eight or less. In this paper, we investigate bistable behavior of slotted ALOHA systems with delay constraints in terms of the catastrophe theory. A lifetime of a packet is confined within D slots, that is, a packet will be discarded after timer of D time-slots expired, unless packet transmission succeeds. Letting r be the packet transmission probability in a slot, we indicate that there exists bistable region, if the product Dr is greater than approximately 8.30, and that the system can operate with the unique stable equilibrium point, if Dr is less than approximately 8.30.