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By Ulrich Geske, Hans-Joachim Goltz (auth.), Dietmar Seipel, Michael Hanus, Armin Wolf (eds.)

This quantity constitutes the completely refereed post-conference court cases of the seventeenth foreign convention on purposes of Declarative Programming and information administration, INAP 2007, and the twenty first Workshop on common sense Programming, WLP 2007, held in Würzburg, Germany, in the course of October 4-6, 2007.

The sixteen completely revised complete papers awarded including 1 invited paper have been conscientiously reviewed and chosen from quite a few submissions. the themes lined are constraints; databases and information mining; extensions of common sense programming; and procedure demonstrations.

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Additional info for Applications of Declarative Programming and Knowledge Management: 17th International Conference, INAP 2007, and 21st Workshop on Logic Programming, WLP 2007, Würzburg, Germany, October 4-6, 2007, Revised Selected Papers

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To achieve this, a fact about partitions of task sets is used: Definition 1 (Partition at an earliest starting time). Given a set T of tasks, a pair of sets (L, R) is called partition of T at the earliest starting time t0 , iff (L, R) is a partition of T (i. e. L ∪ R = T , L ∩ R = ∅) that fulfils the following two conditions: ∀l ∈ L : estl ≤ t0 and ∀r ∈ R : estr ≥ t0 . Proposition 1 (Calculation of ECT4 ). Given a set T of tasks, and a partition (L, R) of T at an arbitrary earliest starting time, the following holds: ECT(T ) = max ECT(R), ECT(L) + pj j∈R 2 3 4 If the exact earliest completion time ectΘ of Θ could be calculated in polynomial time, the NP-complete problem “is there a valid schedule for this set of tasks” could be decided in polynomial time as well.

5. Comparison of the measured runtime, the choices made and the performed backtracks for finding a minimal solution with regard to the non-proportional increased weights and already chosen orders of surgeries No. of PTSP(T ) with WeightedTaskSum PTSP(T ) with WeightedSum surgeries computation of a 1st opt. solution computation of a 1st opt. solution time/msec. # choices # backtracks time/msec. # choices # backtracks 8 292 976 421 462 986 461 9 738 1993 883 1175 2004 958 10 1796 4170 1913 3328 4450 2566 11 4406 8606 4113 7496 8942 5211 12 7649 13449 6613 13146 14550 8914 Fig.

The used branching scheme is a left-to-right, depth-first incremental tree search which avoids re-traversals of already visited paths in the search tree containing suboptimal solutions (cf. [9]). The applied search strategy is specialized for contiguous task scheduling [14]. The pruning rules implemented in the WeightedTaskSum constraint are applied to real life task scheduling problems like the scheduling of surgeries in hospitals. The latter was indeed the ultimate cause to search for better and specialized pruning algorithms: the respond times of an interactive surgery scheduler based on our Java constraint solving library firstCS [6] were not satisfactory.

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