Abstract
We analyze preemptive on-line scheduling against randomized adversaries, with the goal to finish an unknown distinguished target job. Our motivation comes from clinical gene search projects, but the subject leads to general theoretical questions of independent interest, including some natural but unusual probabilistic models. We study problem versions with known and unknown processing times of jobs and target probabilities, and models where the on-line player gets some randomized extra information about the target. For some versions we get optimal competitive ratios, expressed in terms of given parameters of instances.
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REFERENCES
Baeza-Yates, R., J. Culberson, and G. Rawlins, "Searching in the plane," Information and Computation, 106, 234–252 (1993).
Bansal, N., K. Dhandhere, J. Könemann, and A. Sinha, "Non-clairvoyant scheduling for minimizing mean slowdown," in 20th STACS'2003, vol. 2607, Lecture Notes in Computer Science, pp. 260–270.
Becchetti, L. and S. Leonardi, "Non-clairvoyant scheduling to minimize average flowtime on single and parallel machines," in 33rd ACM STOC'2001, pp. 94–103.
Becchetti, L., S. Leonardi, A. Marchetti-Spaccamela, and K. R. Pruhs, "Online weighted flow time and deadline scheduling," in APPROX-RANDOM'2001, vol. 2129, Lecture Notes in Computer Science, pp. 36–47.
Borodin, A. and R. El-Yaniv, Online Computation and Competitive Analysis. Cambridge University Press, 1998.
Chrobak, M., L. Epstein, J. Noga, J. Sgall, R. van Stee, T. Tichy, and N. Vakhania, "Preemptive scheduling in overloaded systems," in 29th ICALP'2002, vol. 2380 Lecture Notes in Computer Science, pp. 800–811.
Ejeskär, K., "Genetic alterations in Scandinavian neuroblastoma tumors," PhD thesis, Gothenburg University, 2000.
Koutsoupias, E. and C. Papadimitriou, "Beyond competitive analysis." SIAM Journal on Computing, 30, 300–317 (2000).
Liberatore, V., "Scheduling jobs before shut-down," Nordic Journal of Computing, 7(3), 204–226 (2000).
Lopez-Ortiz, A. and S. Schuierer, "Online parallel heuristics and robot searching under the competitive framework," in 8th SWAT'2002, vol. 2368, Lecture Notes in Computer Science, 2002, pp. 260–269.
Möhring, R. H., "Scheduling under uncertainty: Optimizing against a randomizing adversary,"TechnicalReport 681-2000, Dept. of Mathematics, TU Berlin
Motwani, R., S. Phillips, and E. Torng, "Nonclairvoyant scheduling," Theoretical Computer Science, 130, 17–47 (1994).
Sgall, J., "On-line scheduling-a survey," vol. 1442, Lecture Notes in Computer Science, 1997, pp. 196–231.
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Damaschke, P. Scheduling Search Procedures. Journal of Scheduling 7, 349–364 (2004). https://doi.org/10.1023/B:JOSH.0000036859.97424.e5
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DOI: https://doi.org/10.1023/B:JOSH.0000036859.97424.e5