TY - GEN
T1 - Minimizing congestion of layouts for ATM networks with faulty links
AU - Gasieniec, Leszek
AU - Kranakis, Evangelos
AU - Krizanc, Danny
AU - Pelc, Andrzej
N1 - Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 1996.
PY - 1996
Y1 - 1996
N2 - We consider the problem of constructing virtual path layouts for an ATM network consisting of a complete networkKn of n processors in which a certain number of links may fail. Our main goal is to construct layouts which tolerate any configuration of up to f layouts and have a least possible congestion. First, we study the minimal congestion of 1- hop f-tolerant layouts in Kn. For any positive integer f we give upper and lower bounds on this minimal congestion and construct f-tolerant layouts with congestion corresponding to the upper bounds. Our results are based on a precise analysis of the diameter of the network Kn[F] which results from Kn by deleting links from a set F of bounded size. Next we study the minimal congestion of h-hop f-tolerant layouts in Kn, for larger values of the number h of hops. We give upper and lower bounds on the order of magnitude of this congestion, based on results for 1-hop layouts. Finally, we consider a random, rather than worst case, fault distribution. Links fail independently with constant probability p < 1. Our goal now is to construct layouts with low congestion that tolerate the existing faults with high probability. For any p < 1, we show such layouts in Kn, with congestion O(log n).
AB - We consider the problem of constructing virtual path layouts for an ATM network consisting of a complete networkKn of n processors in which a certain number of links may fail. Our main goal is to construct layouts which tolerate any configuration of up to f layouts and have a least possible congestion. First, we study the minimal congestion of 1- hop f-tolerant layouts in Kn. For any positive integer f we give upper and lower bounds on this minimal congestion and construct f-tolerant layouts with congestion corresponding to the upper bounds. Our results are based on a precise analysis of the diameter of the network Kn[F] which results from Kn by deleting links from a set F of bounded size. Next we study the minimal congestion of h-hop f-tolerant layouts in Kn, for larger values of the number h of hops. We give upper and lower bounds on the order of magnitude of this congestion, based on results for 1-hop layouts. Finally, we consider a random, rather than worst case, fault distribution. Links fail independently with constant probability p < 1. Our goal now is to construct layouts with low congestion that tolerate the existing faults with high probability. For any p < 1, we show such layouts in Kn, with congestion O(log n).
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U2 - 10.1007/3-540-61550-4_163
DO - 10.1007/3-540-61550-4_163
M3 - Conference contribution
AN - SCOPUS:84947906013
SN - 3540615504
SN - 9783540615507
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 372
EP - 381
BT - Mathematical Foundations of Computer Science 1996 - 21st International Symposium, MFCS 1996, Proceedings
A2 - Penczek, Wojciech
A2 - Szalas, Andrzej
PB - Springer Verlag
T2 - 21st International Symposium on Mathematical Foundations of Computer Science, MFCS 1996
Y2 - 2 September 1996 through 6 September 1996
ER -