Average-case analysis of greedy packet scheduling

Zvi Lotker*, Boaz Patt-Shamir

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

Abstract

We study the average number of delays suffered by packets routed using greedy (work conserving) scheduling policies. We obtain tight bounds on the worst-case average number of delays in a few cases as follows. First, we show that the average number of delays is a function of the number of sources of packets, which is interesting in case a node may send many packets. Then, using a new concept we call delay race, we prove a tight bound on the average number of delays in a leveled graph. Finally, using delay races in a more involved way, we prove nearly-tight bounds on the average number of delays in directed acyclic graphs (DAGs). The upper bound for DAGs is expressed in terms of the underlying topology, and as a result is holds for any acyclic set of routes, even if they are not shortest paths. The lower bound for DAGs, on the other hand, holds even for shortest paths routes.

Original languageEnglish
Pages31-40
Number of pages10
StatePublished - 2000
Event19th Annual ACM Symposium on Principles of Distributed Computing - Portland, OR, USA
Duration: 16 Jul 200019 Jul 2000

Conference

Conference19th Annual ACM Symposium on Principles of Distributed Computing
CityPortland, OR, USA
Period16/07/0019/07/00

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