Proceedings:
Vol. 21 (2011): Twenty-First International Conference on Automated Planning and Scheduling
Volume
Issue:
Vol. 21 (2011): Twenty-First International Conference on Automated Planning and Scheduling
Track:
Full Technical Papers
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Abstract:
This paper presents a generalization of the coupled-task scheduling problem introduced by Shapiro, where considered tasks are subject to incompatibility constraint depicted by an undirected graph. The motivation of this problem comes from data acquisition and processing in a mono-processor torpedo used for underwater exploration. As we add the compatibility graph, we focus on complexity of the problem, and more precisely on the border between P and NP-completeness when some other input parameters are restricted (e.g. the ratio between the durations of the two sub-tasks composing a task): we adapt the global visualization of the complexity of scheduling problems with coupled-task given by Orman and Potts to our problem, determine new complexity results, and thus propose a new visualization including incompatibility constraint. In the end, we give a new polynomial-time approximation algorithm result which completes previous works.
DOI:
10.1609/icaps.v21i1.13460
ICAPS
Vol. 21 (2011): Twenty-First International Conference on Automated Planning and Scheduling