Abstract
We explore the machine-minimizing job scheduling problem, which has a rich history in the line of research, under an online setting. We consider systems with arbitrary job arrival times, arbitrary job deadlines, and unit job execution time. For this problem, we present a lower bound 2.09 on the competitive factor of any online algorithms, followed by designing a 5.2-competitive online algorithm. We would also like to point out a false claim made in an existing paper of Shi and Ye regarding a further restricted case of the considered problem. To the best of our knowledge, what we present is the first concrete result concerning online machine-minimizing job scheduling with arbitrary job arrival times and deadlines.
This work was supported in part by National Science Council (NSC), Taiwan, under Grants NSC99-2911-I-002-055-2, NSC98-2221-E-001-007-MY3, and Karlsruhe House of Young Scientists (KHYS), KIT, Germany, under a Grant of Visiting Researcher Scholarship.
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Kao, MJ., Chen, JJ., Rutter, I., Wagner, D. (2012). Competitive Design and Analysis for Machine-Minimizing Job Scheduling Problem. In: Chao, KM., Hsu, Ts., Lee, DT. (eds) Algorithms and Computation. ISAAC 2012. Lecture Notes in Computer Science, vol 7676. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35261-4_11
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DOI: https://doi.org/10.1007/978-3-642-35261-4_11
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