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Some Basic Properties of Length Rate Quotient

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Performance Evaluation Methodologies and Tools (VALUETOOLS 2022)

Abstract

Length Rate Quotient (LRQ) is the first algorithm of interleaved shaping – a novel concept proposed to provide per-flow shaping for a flow aggregate without per-flow queuing. This concept has been adopted by Time-Sensitive Networking (TSN) and Deterministic Networking (DetNet). In this paper, we investigate basic properties of LRQ interleaved shapers. One is the so-called “shaping-for-free” property, which is, when an LRQ interleaved shaper is appended to a FIFO system, it does not increase the worst-case delay of the system. The other basic properties include conformance, output characterization, a sufficient and necessary condition for bounded delay, Guaranteed Rate characterization, and delay and backlog bounds for LRQ interleaved shapers as stand-alone elements. The derived properties of LRQ shed new insights on understanding interleaved shaping, which may be further exploited to achieve bounded delay in TSN/DetNet networks.

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Correspondence to Yuming Jiang .

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© 2023 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering

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Jiang, Y. (2023). Some Basic Properties of Length Rate Quotient. In: Hyytiä, E., Kavitha, V. (eds) Performance Evaluation Methodologies and Tools. VALUETOOLS 2022. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 482. Springer, Cham. https://doi.org/10.1007/978-3-031-31234-2_15

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  • DOI: https://doi.org/10.1007/978-3-031-31234-2_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-31233-5

  • Online ISBN: 978-3-031-31234-2

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