TY - GEN
T1 - On the complexity of sequential rectangle placement in IEEE 802.16/WiMAX systems
AU - Israeli, Amos
AU - Rawitz, Dror
AU - Sharon, Oran
PY - 2007
Y1 - 2007
N2 - We study the problem of scheduling transmissions on the Downlink of IEEE 802.16/WiMAX systems that use the OFDMA technology. These transmissions are scheduled using a matrix whose dimensions are frequency and time, where every matrix cell is a time slot on some carrier channel. The IEEE 802.16 standard mandates that (i) every transmission occupies a rectangular set of cells, and (ii) transmissions must be scheduled according to a given order. We show that if the number of cells required by a transmission is not limited (up to the matrix size), the problem of maximizing matrix utilization is very hard to approximate. On the positive side we show that if the number of cells of every transmission is limited to some constant fraction of the matrix area, the problem can be approximated to within a constant factor. As far as we know this is the first paper that considers this sequential rectangle placement problem.
AB - We study the problem of scheduling transmissions on the Downlink of IEEE 802.16/WiMAX systems that use the OFDMA technology. These transmissions are scheduled using a matrix whose dimensions are frequency and time, where every matrix cell is a time slot on some carrier channel. The IEEE 802.16 standard mandates that (i) every transmission occupies a rectangular set of cells, and (ii) transmissions must be scheduled according to a given order. We show that if the number of cells required by a transmission is not limited (up to the matrix size), the problem of maximizing matrix utilization is very hard to approximate. On the positive side we show that if the number of cells of every transmission is limited to some constant fraction of the matrix area, the problem can be approximated to within a constant factor. As far as we know this is the first paper that considers this sequential rectangle placement problem.
UR - http://www.scopus.com/inward/record.url?scp=38049053143&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-75520-3_51
DO - 10.1007/978-3-540-75520-3_51
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AN - SCOPUS:38049053143
SN - 9783540755197
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 570
EP - 581
BT - Algorithms - ESA 2007 - 15th Annual European Symposium, Proceedings
PB - Springer Verlag
T2 - 15th Annual European Symposium on Algorithms, ESA 2007
Y2 - 8 October 2007 through 10 October 2007
ER -