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 -