By Roger Wattenhofer (auth.), Sándor P. Fekete (eds.)
This e-book constitutes the reviewed lawsuits of the Fourth overseas Workshop on Algorithmic points of instant Sensor Networks, ALGOSENSORS 2008, held in Reykjavik, Iceland, Wroclaw, Poland, July 12, 2008.
The workshops aimed toward bringing jointly examine contributions with regards to diversified algorithmic and complexity-theoretic elements of instant sensor networks. the themes comprise yet should not constrained to optimization difficulties, noise and likelihood, robots and excursions.
Read or Download Algorithmic Aspects of Wireless Sensor Networks: Fourth International Workshop, ALGOSENSORS 2008, Reykjavik, Iceland, July 2008. Revised Selected Papers PDF
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Extra resources for Algorithmic Aspects of Wireless Sensor Networks: Fourth International Workshop, ALGOSENSORS 2008, Reykjavik, Iceland, July 2008. Revised Selected Papers
We notice that the release dates of packets are independent of the value of σ. 1 The Interleaved Shortest Remaining Processing Time Algorithm We introduce an algorithm that we call Interleaved SRPT and prove that a constant-factor speed augmentation is enough to enable this algorithm to outperform the optimal average ﬂow time of the original instance. The algorithm is based on a well-known scheduling algorithm, the shortest remaining processing time ﬁrst rule (SRPT) , so we ﬁrst describe this algorithm in the context of Wgp.
Algorithm 1. Shortest Remaining Processing Time (SRPT) for k = 0, 1, 2, . . do At time t = k/σ, let 1, . . , m be the available packets in order of non-decreasing t , s)) distance to the sink (that is, d(v1t , s) ≤ d(v2t , s) ≤ . . ≤ d(vm for j = 1 to m do Send j to the next hop along an arbitrary shortest path from vjt to the sink, unless this creates interference with a packet j with j < j end for end for Every iteration k in the algorithm corresponds to a round of the schedule. We notice that this algorithm is a dynamic-priority algorithm, in the sense that the ordering in which packets are scheduled can change from round to round.
Theorem 2. Let ∈ (0, 1). Unless P=NP, no polynomial time algorithm can approximate F-Wgp within a ratio better than Ω(m1− ). Proof. 2 in . As shown in , it is possible to construct in polynomial time, given an IBM instance I, an instance I of Wgp with an arbitrary number m of packets such that the following hold: 1. if I has an induced matching of size k, then there is a schedule for I with maximum ﬂow time 2k + 1; 2. if all induced matchings of I are of size at most k/α, then in every schedule for I there will be a round in which Θ(m/k) packets have been released but not yet collected at the sink.
Algorithmic Aspects of Wireless Sensor Networks: Fourth International Workshop, ALGOSENSORS 2008, Reykjavik, Iceland, July 2008. Revised Selected Papers by Roger Wattenhofer (auth.), Sándor P. Fekete (eds.)