A comparison of MIP-based decomposition techniques and VNS approaches for batch scheduling problems

Andreas Klemmt, Gerald Weigert, Christian Almeder, Lars Monch
2009 Proceedings of the 2009 Winter Simulation Conference (WSC)  
This research is motivated by a scheduling problem found in the diffusion and oxidation areas of semiconductor wafer fabrication facilities. With respect to some practical motivated process constraints, like equipment dedication and unequal batchsizes, we model the problem as unrelated parallel batch machines problem with incompatible job families and unequal ready times of the jobs. Our objective is to minimize the total weighted tardiness (TWT) of the jobs. Given that the problem is NPhard,
more » ... propose two different solution approaches. The first approach works with a time window-based mixed integer programming (MIP) decomposition. The second approach uses a variable neighbourhood search (VNS). Using randomly generated test instances, we show that the proposed algorithms outperform common dispatching rules that cannot deal with the given constraints effectively. 1 1686 978-1-4244-5771-7/09/$26.00 ©2009 IEEE Klemmt, Weigert, Almeder, and Mönch
doi:10.1109/wsc.2009.5429173 dblp:conf/wsc/KlemmtWAM09 fatcat:gijphzmanrebzdnbuiakecyxjm