Preemptive scheduling on a small number of hierarchical machines

Information and Computation - Tập 206 - Trang 602-619 - 2008
György Dósa1, Leah Epstein2
1Department of Mathematics, University of Pannonia, Veszprem, Hungary
2Department of Mathematics, University of Haifa, Mount Carmel, 31905 Haifa, Israel

Tài liệu tham khảo

Aspnes, 1997, On-line load balancing with applications to machine scheduling and virtual circuit routing, J. ACM, 44, 486, 10.1145/258128.258201 Azar, 1995, The competitiveness of on-line assignments, J. Algorithms, 18, 221, 10.1006/jagm.1995.1008 Bar-Noy, 2001, On-line load balancing in a hierarchical server topology, SIAM J. Comput., 31, 527, 10.1137/S0097539798346135 Berman, 2000, On-line load balancing for related machines, J. Algorithms, 35, 108, 10.1006/jagm.1999.1070 Chen, 1994, Lower bounds for randomized online scheduling, Inform. Process. Lett., 51, 219, 10.1016/0020-0190(94)00110-3 Chen, 1995, An optimal algorithm for preemptive on-line scheduling, Oper. Res. Lett., 18, 127, 10.1016/0167-6377(95)00039-9 Crescenzi, 2004, On-line algorithms for the channel assignment problem in cellular networks, Discrete Appl. Math., 137, 237, 10.1016/S0166-218X(03)00341-X T. Ebenlendr, W. Jawor, J. Sgall, Preemptive online scheduling: optimal algorithms for all speeds, in: Proceedings of the 14th Annual European Symposium on Algorithms (ESA2006), 2006, pp. 327–339. Epstein, 2001, Optimal preemptive on-line scheduling on uniform processors with non-decreasing speed ratios, Oper. Res. Lett., 29, 93, 10.1016/S0167-6377(01)00085-2 Epstein, 2001, Randomized online scheduling on two uniform machines, J. Scheduling, 4, 71, 10.1002/jos.60 Epstein, 2000, A lower bound for on-line scheduling on uniformly related machines, Oper. Res. Lett., 26, 17, 10.1016/S0167-6377(99)00062-0 Graham, 1966, Bounds for certain multiprocessing anomalies, Bell Syst. Techn. J., 45, 1563, 10.1002/j.1538-7305.1966.tb01709.x Jiang, 2006, Optimal online algorithms for scheduling on two identical machines under a grade of service, J. Zhejiang Univ. Sci. A, 7, 309, 10.1631/jzus.2006.A0309 Park, 2006, Online and semi-online scheduling of two machines under a grade of service provision, Oper. Res. Lett., 34, 692, 10.1016/j.orl.2005.11.004 Seiden, 2001, Preemptive multiprocessor scheduling with rejection, Theor. Comput. Sci., 262, 437, 10.1016/S0304-3975(00)00288-7 Sgall, 1997, A lower bound for randomized on-line multiprocessor scheduling, Inform. Process. Lett., 63, 51, 10.1016/S0020-0190(97)00093-8 Wen, 1998, Preemptive on-line scheduling for two uniform processors, Oper. Res. Lett., 23, 113, 10.1016/S0167-6377(98)00032-7 A.C.C. Yao, Probabilistic computations: towards a unified measure of complexity, in: Proceedings of 18th Symposium on Foundations of Computer Science (FOCS), IEEE, pp. 222–227, 1977.