Stability and non-stability of the FIFO protocol

Authors:
Josep Díaz;Dimitrios Koukopoulos;Sotiris Nikoletseas;Maria Serna;Paul Spirakis;Dimitrios M. Thilikos
Affiliations:
Departament de Llenguatges i Sistemes Informàtics, Universitat Politècnica de Catalunya, Jordi Girona Salgado 1-3, 08034-Barcelona;Computer Technology Institute and Patras University, P.O. Box 1122-26 110, Patras;Computer Technology Institute and Patras University, P.O. Box 1122-26 110, Patras;Departament de Llenguatges i Sistemes Informàtics, Universitat Politècnica de Catalunya, Jordi Girona Salgado 1-3, 08034-Barcelona;Computer Technology Institute and Patras University, P.O.Box 1122-26 110, Patras;Departament de Llenguatges i Sistemes Informàtics, Universitat Polit`ecnica de Catalunya, Jordi Girona Salgado 1-3, 08034-Barcelona
Venue:
Proceedings of the thirteenth annual ACM symposium on Parallel algorithms and architectures
Year:
2001

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Abstract

In this paper, we analyze the stability properties of the FIFO protocol in the Adversarial Queueing model for packet routing. We show a graph for which FIFO is stable for any adversary with injection rate r ≰ 0.1428. We generalize this results to show upper bound for stability of any network under FIFO protocol, answering partially an open question raised by Andrews et al. in [2]. We also design a network and an adversary for which FIFO is non-stable for any r ≱ 0.8357, improving the previous known bounds of [2].