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- W2994372911 abstract "The drift method was recently developed to study performance of queueing systems in heavy-traffic [1]. It has been used to analyze several queueing systems, including some where the Complete Resource Pooling (CRP) condition is not satisfied, like the input-queued switch [4]. In this paper we study the generalized switch operating under MaxWeight using the drift method. The generalized switch is a queueing system that was first introduced by [5], and can be thought of as extension of several single-hop queueing systems, such as the input-queued switch and ad hoc wireless networks. When the CRP condition is not satisfied, we prove that there is a multidimensional state space collapse to a cone and we compute bounds on a linear combination of the queue lengths that are tight in heavy-traffic. This work generalizes some of the results obtained by [1] and the results from [4], since the queueing systems studied there are particular cases of the generalized switch." @default.
- W2994372911 created "2019-12-13" @default.
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- W2994372911 date "2019-12-04" @default.
- W2994372911 modified "2023-09-28" @default.
- W2994372911 title "Heavy-traffic Analysis of the Generalized Switch under Multidimensional State Space Collapse" @default.
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- W2994372911 doi "https://doi.org/10.1145/3374888.3374902" @default.
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