Single and multiple device DSA problems, complexities and online algorithms

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-)-competitive and any clairvoyant algorithm cannot be (1.54-)-competitive.The first O(logL)-competitive algorithm for general jobs on multi-device Balancing DSA problems without any assumption.