Download PDF by Witold Bednorz: Advances in Greedy Algorithms

By Witold Bednorz

ISBN-10: 9537619273

ISBN-13: 9789537619275

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Crovella. “Server Selection Using Dynamic Path Characterization in Wide-Area Networks”, In Proceedings of IEEE INFOCOM'99, Kobe, Japan, April 1997. [8] K. Lai and M. Baker. “Measuring Bandwidth”. In Proceedings of IEEE INFOCOM’99, New York City, New York, March 1999. [9] C. Dovrolis, P. Ramanathan and D. Moore. ”. In Proceedings of IEEE INFOCOM’2001, Anchorage, Alaska, April 2001. A Greedy Scheme for Designing Delay Monitoring Systems of IP Networks 37 [10] Y. Bejerano abd R. Rastogi, “Robust monitoring of link delays and faults in IP networks”.

This is done by sending a single probe from ui to uj . Similarly the path = {ui,wi,wj} can be monitored by sending a single probe from ui to wj . From this follows that 2·│ │ are required for each edge in . Yet, we still need to monitor the paths = {wi,wj , uj} and = {wi,wj}. This can be done by sending a single message from ui to wi. Recall that this probe message can be used for path monitoring of every path and such that ( , ) in . Since V’ is a vertex cover of , it must contain one of or . Let assume the node .

Each pair (s, u) represents a probe message that is sent from station s to node u and for every edge e = (u, v) ∈ E, there is a station s ∈ S such that e ∈ Ts and A contains the pairs (s, u) and (s, v). The cost of a probe assignment A is COST = Σ(s,u)∈ cs,u and the optimal probe assignment is the one with the minimum cost. 1 Hardness of the probe assignment problem In the following, we show that computing the optimal probe assignment is NP-hard even if we choose all cs,u = 1 that minimizes the number of probes in A.

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Advances in Greedy Algorithms by Witold Bednorz

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