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首页> 外文会议>International conference on queueing theory and network applications >Delay Analysis of a Queue with General Service Demands and Correlated Service Capacities
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Delay Analysis of a Queue with General Service Demands and Correlated Service Capacities

机译：具有一般服务需求和相关服务能力的队列的延迟分析

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摘要

We present the study of a non-classical discrete-time queue-ing model in which the customers each request a variable amount of service, called their "service demand", from a server which is able to execute a variable amount of work, called its "service capacity". during each time slot. We assume that the numbers of arrivals in consecutive time slots and the service demands of consecutive customers form two independent and identically distributed sequences. However, we allow the service capacities in consecutive time slots to be correlated according to a discrete-batch Markovian process. We study this model analytically and obtain an expression for the probability generating function of the delay of an arbitrary customer in steady state. The results are illustrated with several numerical examples.
机译：我们提出了一种非经典的离散时间排队模型的研究，在该模型中，客户各自从能够执行可变数量的工作的服务器上请求可变数量的服务，称为“服务需求”。其“服务能力”。在每个时隙。我们假设连续时隙中的到达次数和连续客户的服务需求形成两个独立且分布均匀的序列。但是，我们允许根据离散批量马尔可夫过程来关联连续时隙中的服务容量。我们通过分析研究该模型，并获得了一个稳定状态下任意客户的延迟概率生成函数的表达式。通过几个数值示例说明了结果。

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