Abstract
We study the single-device Dynamic Storage Allocation (DSA) problem and the multi-device Balancing DSA problem in this paper. The goal is to dynamically allocate the job into memory to minimize the usage of space without concurrency. The SRF problem is just a variant of the DSA problem. Our results are as follows. • The NP-completeness for the 2-SRF problem, 3-DSA problem, and DSA problem for jobs with agreeable deadlines. • An improved 3-competitive algorithm for jobs with agreeable deadlines on single-device DSA problems. A 4-competitive algorithm for jobs with agreeable deadlines on multi-device Balancing DSA problems. • Lower bounds for jobs with agreeable deadlines: any non-clairvoyant algorithm cannot be ( 2 − ϵ ) -competitive and any clairvoyant algorithm cannot be ( 1.54 − ϵ ) -competitive. • The first O ( log L ) -competitive algorithm for general jobs on multi-device Balancing DSA problems without any assumption.
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