By Bob Stat
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Extra info for Altogether Fun and Absolutely Understanding Rubik's Pocket Cube
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. , Nowicki and Smutnicki  or Vaessens et al. ). 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.  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.  H. Yan and J. N. Hooker. Tight representations of logical constraints as cardinality rules. Mathematical Programming, 85:363–377, 1999.  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.
Altogether Fun and Absolutely Understanding Rubik's Pocket Cube by Bob Stat