A model of reservation systems
A model of reservation systems
复制标题
预订系统模型
DOI：
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发表时间：
1992
影响因子：
8.3
通讯作者：
J. Virtamo
中科院分区：
文献类型：
--
作者：
J. Virtamo
作者考虑了使用CCITT定义的保留呼叫建立模式的高级容量保留系统的性能评估。介绍了一个简单的模型的交通过程：假设统一提供电话预订书。然后，系统的状态可以根据各种类型的空闲时隙岛的数量来统计地描述。特别是，被认为是保留书的长度趋于无穷大的限制。对于确定性保持时间为一个或两个时隙的单服务台系统，得到了一个封闭形式的解;对于一般的保持时间分布，得到了一个渐近解析解，并数值计算了对这个渐近解的修正。对于等待时间服从几何分布的多服务台系统，给出了数值模拟结果。一个插值公式适用于所有的交通强度。给出了一个过程，以推断的结果比实际模拟的更大的系统。>
The author considers the performance evaluation of an advanced capacity reservation system using the CCITT defined reserved call establishment mode. A simple model for the traffic process is introduced: calls are assumed to be offered uniformly to the reservation book. The state of the system can then be described statistically in terms of the population of various types of islands of free time slots. The limit where the length of the reservation book tends to infinity is, in particular, considered. For single-server systems with a deterministic holding time of one or two time slots, a closed-form solution is found. For a general holding time distribution, an asymptotic analytical solution is derived and corrections to this asymptotic solution are calculated numerically. For multiserver systems with geometric holding time distribution, the author presents numerical results obtained by simulations. An interpolation formula valid for all traffic intensities is developed. A procedure is given to extrapolate the results to larger systems than were actually simulated. >