TY - GEN
T1 - Online set packing and competitive scheduling of multi-part tasks
AU - Emek, Yuval
AU - Halldórsson, Magnús M.
AU - Mansour, Yishay
AU - Patt-Shamir, Boaz
AU - Radhakrishnan, Jaikumar
AU - Rawitz, Dror
PY - 2010
Y1 - 2010
N2 - We consider a scenario where large data frames are broken into a few packets and transmitted over the network. Our focus is on a bottleneck router: the model assumes that in each time step, a set of packets (a burst) arrives, from which only one packet can be served, and all other packets are lost. A data frame is considered useful only if none of its constituent packets is lost, and otherwise it is worthless. We abstract the problem as a new type of online set packing, present a randomized distributed algorithm and a matching lower bound on the competitive ratio for any randomized online algorithm. Our bounds are expressed in terms of the maximal burst size and the maximal number of packets per frame. We also present refined bounds that depend on the uniformity of these parameters.
AB - We consider a scenario where large data frames are broken into a few packets and transmitted over the network. Our focus is on a bottleneck router: the model assumes that in each time step, a set of packets (a burst) arrives, from which only one packet can be served, and all other packets are lost. A data frame is considered useful only if none of its constituent packets is lost, and otherwise it is worthless. We abstract the problem as a new type of online set packing, present a randomized distributed algorithm and a matching lower bound on the competitive ratio for any randomized online algorithm. Our bounds are expressed in terms of the maximal burst size and the maximal number of packets per frame. We also present refined bounds that depend on the uniformity of these parameters.
KW - Competitive analysis
KW - Multi-packet frames
KW - Online set packing
KW - Packet fragmentation
UR - http://www.scopus.com/inward/record.url?scp=77956250701&partnerID=8YFLogxK
U2 - 10.1145/1835698.1835800
DO - 10.1145/1835698.1835800
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AN - SCOPUS:77956250701
SN - 9781605588889
T3 - Proceedings of the Annual ACM Symposium on Principles of Distributed Computing
SP - 440
EP - 449
BT - PODC'10 - Proceedings of the 2010 ACM Symposium on Principles of Distributed Computing
PB - Association for Computing Machinery (ACM)
T2 - 29th ACM SIGACT-SIGOPS Symposium on Principles of Distributed Computing, PODC 2010
Y2 - 25 July 2010 through 28 July 2010
ER -