Working curves for delayed exponential calls served in random order

Working curves for delayed exponential calls served in random order
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以随机顺序服务的延迟指数呼叫的工作曲线

DOI:
10.1002/j.1538-7305.1953.tb01431.x
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发表时间:
1953
影响因子:
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通讯作者:
R. I. Wilkinson
R. I. Wilkinson
中科院分区:
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文献类型:
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作者:
R. I. Wilkinson

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给出了在相当大的负载和组大小范围内随机服务的等待呼叫的延迟工作曲线。指数保持时间呼叫假定是随机发起的,并由一组简单的路径提供服务。给出了一些掷下测试的结果,以说明几种服务模式,特别是随机服务对呼叫延迟的影响。对于随机服务,这些结果验证了J.Riordan最近发展的理论;也许更有趣的是,它们显示了排队服务和随机服务的某些混合对延迟的影响,这些混合服务近似于实际使用中处理延迟呼叫的方法(例如门控和有限的存储电路)。通过大量的例子说明了随机和排队延迟理论的使用。为了提醒读者,这些结果并不局限于电话,百货商店和车辆交通问题也包括在内。
Working curves of delays for waiting calls served at random are given for a considerable range of loads and group sizes. Exponential holding time calls are assumed originating at random, and served by a simple group of paths. Results of a number of throwdown tests are given to illustrate the effect on call delays of several modes of service, and particularly of service on a random basis. For random service, these results verify the theory recently developed by J. Riordan; perhaps more interestingly they show the effects on delays of certain blends of queued and random service which approximate methods of handling delayed calls in practical use (such as gating and limited storage circuits). The use of random and queued delay theory is illustrated by a number of examples. To remind the reader that these results are not limited to telephony, department store and vehicular traffic problems are included.