Non-Preemptive Min-Sum Scheduling with Resource Augmentation

Nikhil Bansal, Ho-Leung Chan, Rohit Khandekar, Kirk Pruhs, Cliff Stein, Baruch Schieber
<span title="">2007</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/zdx3re5o5ffsjoo23gofgqxfaa" style="color: black;">Foundations of Computer Science (FOCS), IEEE Annual Symposium on</a> </i> &nbsp;
We give the first O(1)-speed O(1)-approximation polynomial-time algorithms for several nonpreemptive minsum scheduling problems where jobs arrive over time and must be processed on one machine. More precisely, we give the first O(1)-speed O(1)-approximations for the nonpreemptive scheduling problems and an O(1)-machine, O(1)-speed O(1)-approximation for Our main contribution is an integer programming formulation whose relaxation is sufficiently close to the integer optimum, and which can be transformed to a schedule on a faster machine.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/focs.2007.4389530">doi:10.1109/focs.2007.4389530</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pro7j2k7yrb5tbovfrmi6w3bom">fatcat:pro7j2k7yrb5tbovfrmi6w3bom</a> </span>
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