Abstract
Under consideration is some optimization problem of data transmission in a hierarchical acyclic network. This problem is a special case of the makespan minimization problem with multiprocessor jobs on dedicated machines.We study computational complexity of the subproblems with a specific set of job types, where the type of a job is a subset of the machines required by the job.
References
M. R. Garey and D. S. Johnson, Computers and Intractability: A Guide to the Theory of NPCompleteness (Freeman, San Francisco, 1979; Mir, Moscow, 1982).
B. Chen, C. N. Potts, and G. J. Woeginger, “A Review of Machine Scheduling: Complexity, Algorithms and Approximability,” in Handbook ofCombinatorialOptimization, Vol.3, Ed. by D.-Z. Du and P.M. Pardalos (Kluwer Acad. Publ., Dordrecht, 1998), pp. 21–169.
M. Drozdowski, Scheduling for Parallel Processing (Springer, London, 2009).
C. W. Duin and E. V. Sluis, “On the Complexity of Adjacent Resource Scheduling,” J. Scheduling 9 (1), 49–62 (2006).
C. Bierwirth and F. Meisel, “A Survey of Berth Allocation and Quay Crane Scheduling Problems in Container Terminals,” European J. Oper. Res. 244 (3), 675–689 (2015).
A. Lim, “The Berth Planning Problem,” Oper. Res. Lett. 22 (2–3), 105–110 (1998).
J. J. Paulus and J. Hurink, “Adjacent-Resource Scheduling. Why Spatial Resources Are so Hard to Incorporate,” Electron. Notes DiscreteMath. 25, 113–116 (2006).
H. W. Chun, “Scheduling as a Multi-Dimensional Placement Problem,” Engrg. Appl. Artif. Intell. 9 (3), 261–273 (1996).
J. Błażewicz, P. Dell’Olmo, M. Drozdowski, and M.G. Speranza, “Scheduling Multi processor Task on Three Dedicated Processors,” Inform. Process. Lett. 41 (5), 275–280 (1992).
J. A. Hoogeveen, S. L. van de Velde, and B. Veltman, “Complexity of Scheduling Multiprocessor Task with Prespecified Processor Allocations,” Discrete Appl. Math. 55 (3), 259–272 (1994).
G. Even, M. M. Halldersson, L. Kaplan, and D. Ron, “Scheduling with Conflicts: Online and Offline Algorithms,” J. Scheduling 12 (2), 199–224 (2009).
A. K. Amoura, E. Bampis, C. Kenyon, and Y. Manoussakis, “Scheduling IndependentMultiprocessorTasks,” Algorithmica 32 (2), 247–261 (2002).
A. L. Buchsbaum, H. Karloff, C. Kenyon, N. Reingold, and M. Thorup, “OPT versus LOAD in Dynamic Storage Allocation,” SIAM J. Comput. 33 93), 632–646 (2012).
V. S. Tanaev, Yu. N. Sotskov, and V. A. Strusevich, Scheduling Theory. Multi-Stage Systems (Nauka, Moscow, 1989; Kluwer Acad. Publ., Dordrecht, 1994).
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Original Russian Text © A.V. Kononov, P.A. Kononova, 2016, published in Diskretnyi Analiz i Issledovanie Operatsii, 2016, Vol. 23, No. 3, pp. 5–25.
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Kononov, A.V., Kononova, P.A. On minimizing dataset transfer time in an acyclic network with four servers. J. Appl. Ind. Math. 10, 494–504 (2016). https://doi.org/10.1134/S1990478916040050
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DOI: https://doi.org/10.1134/S1990478916040050