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ThinkMind // ICN 2015, The Fourteenth International Conference on Networks // View article icn_2015_2_30_30047


Worst Case Modeling of Aggregate Scheduling by Network Calculus

Authors:
Ulrich Klehmet
Rüdiger Berndt

Keywords: Worst-case Communication System Modeling; Network Calculus; Aggregate Scheduling; Strict-non-strict Service Curves; Backlogged Period

Abstract:
Network Calculus (NC) is a powerful mathematical theory for the performance evaluation of communication systems, since it allows to obtain worst-case performance measures. In communications system modeling, the NC theory is often used to determine Quality of Service (QoS) guarantees, for example of packet-switched systems. In networking systems, the aggregation of data flows plays an important role while modeling the multiplexing scheme. When the multiplexing order is not First in, First out (FIFO), the strictness of the service curve plays an important role. This article deals with problems that arise from the strictness requirement considering aggregate scheduling. The literature reports that the strictness of an aggregated service curve is a fundamental precondition to obtain the individual service curve for a single left-over flow when a node processes multiple input flows in a non-FIFO manner. In many publications, this important strictness property is assumed to be a feature of the service curve only. We will show that, in general, this assumption is not true. In most cases, only the concrete input flow in connection with the service curve allows to decide whether the service curve is strict or non-strict. However, the abstraction from a concrete input flow with an arrival curve as upper bound is not enough to determine the service curve’s strictness. Therefore, to bypass the strict-non-strict problems, we devise theorems to gain guaranteed performance values for a left-over flow.

Pages: 44 to 49

Copyright: Copyright (c) IARIA, 2015

Publication date: April 19, 2015

Published in: conference

ISSN: 2308-4413

ISBN: 978-1-61208-398-8

Location: Barcelona, Spain

Dates: from April 19, 2015 to April 24, 2015

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