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By Bob Stat

ISBN-10: 0440002370

ISBN-13: 9780440002376

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Extra info for Altogether Fun and Absolutely Understanding Rubik's Pocket Cube

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It compares favorably over the best available approaches from the literature on a set of benchmark instances. 1 Introduction In this work, we consider the Job Shop Problem with Sequence Dependent Setup Times (SDST-JSP). The Job Shop Problem is used for modeling problems where a set of jobs, consisting of a sequence of elementary operations to be executed on distinct machines, has to be scheduled. , Blazewicz et al. [5], Nowicki and Smutnicki [13] or Vaessens et al. [15]). The SDST-JSP is a variant problem where machines have to be reconfigured between two successive operations.

35] M. Wallace, S. Novello, and J. Schimpf. A platform for constraint logic programming. ICL Systems Journal, 12:159–200, 1997. [36] H. P. Williams and H. Yan. Representations of the all_different predicate of constraint satisfaction in integer programming. INFORMS Journal on Computing, 13(2):96–103, 2001. [37] H. Yan and J. N. Hooker. Tight representations of logical constraints as cardinality rules. Mathematical Programming, 85:363–377, 1999. [38] T. H. Yunes. On the sum constraint: Relaxation and applications.

An example of such diagrams is given in figure 1 for some instance of the SDST-JSP with 3 jobs and 3 machines. On these diagrams, we represent setup times with hatched rectangles. Full rectangles stand for idle times. The two diagrams respectively represent a solution from both machine and job views. A New Exact Solution Algorithm for the Job Shop Problem 39 Fig. 1. Gantt’s diagrams Using the constraint programming framework, a simple model can easily be proposed for the SDST-JSP. For each operation we introduce a variable indicating the starting time of the operation.

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Altogether Fun and Absolutely Understanding Rubik's Pocket Cube by Bob Stat


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