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A Paradox in a Queueing Network with State-Dependent Routing and Loss

机译:具有状态依赖路由和损耗的排队网络中的一个悖论

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Consider a network of parallel finite tandem queues with two stages, where each arrival attempts to minimize its own cost due to loss. It is known that the user optimal and asymptotic system optimal policies may differ—we give examples showing that they may differ for finite systems and that as the service rate is increased at the second stage the user optimal policy may change in such a way that the total expected cost due to loss increases.
机译:考虑一个具有两个阶段的并行有限串联队列网络,其中每个到达尝试将由于丢失而导致的自身成本降至最低。众所周知,用户最优策略和渐近系统最优策略可能会有所不同,我们给出的示例表明它们对于有限系统可能会有所不同,并且随着服务费率在第二阶段增加,用户最优策略可能会以如下方式更改:由于损失增加而产生的总预期成本。

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