An approximative Criterion for the Potential of Energetic Reasoning

Please always quote using this URN: urn:nbn:de:0297-zib-12655
• Energetic reasoning is one of the most powerful propagation algorithms in cumulative scheduling. In practice, however, it is not commonly used because it has a high running time and its success highly depends on the tightness of the variable bounds. In order to speed up energetic reasoning, we provide an easy-to-check necessary condition for energetic reasoning to detect infeasibilities. We present an implementation of energetic reasoning that employs this condition and that can be parametrically adjusted to handle the trade-off between solving time and propagation overhead. Computational results on instances from the PSPLIB are provided. These results show that using this condition decreases the running time by more than a half, although more search nodes need to be explored.

Author: Timo Berthold, Stefan Heinz, Jens Schulz ZIB-Report 65-XX NUMERICAL ANALYSIS / 65Kxx Mathematical programming, optimization and variational techniques / 65K05 Mathematical programming methods [See also 90Cxx] 90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Cxx Mathematical programming [See also 49Mxx, 65Kxx] / 90C10 Integer programming 2011/04/18 ZIB-Report (11-12) Appeared in: Theory and Practice of Algorithms in (Computer) Systems, Alberto Marchetti-Spaccamela and Michael Segal (eds.) Springer 2011, LNCS 6595, pp. 229-239

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