Priority rules for job shops with weighted tardiness costs
Management Science
Scheduling a batch processing machine with incompatible job families
Computers and Industrial Engineering
A genetic algorithm to minimize maximum lateness on a batch processing machine
Computers and Operations Research
Minimizing total weighted tardiness on a single batch process machine with incompatible job families
Computers and Operations Research
Computers and Operations Research
Computers and Operations Research
Computers and Operations Research
A multi-criteria approach for scheduling semiconductor wafer fabrication facilities
Journal of Scheduling
Multiobjective scheduling of jobs with incompatible families on parallel batch machines
EvoCOP'06 Proceedings of the 6th European conference on Evolutionary Computation in Combinatorial Optimization
IEEE Transactions on Evolutionary Computation
Computers and Industrial Engineering
Proceedings of the Winter Simulation Conference
Proceedings of the Winter Simulation Conference
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This paper addresses a scheduling problem motivated by scheduling of diffusion operations in the wafer fabrication facility. In the target problem, jobs arrive at the batch machines at different time instants, and only jobs belonging to the same family can be processed together. Parallel batch machine scheduling typically consists of three types of decisions-batch forming, machine assignment, and batch sequencing. We propose a memetic algorithm with a new genome encoding scheme to search for the optimal or near-optimal batch formation and batch sequence simultaneously. Machine assignment is resolved in the proposed decoding scheme. Crossover and mutation operators suitable for the proposed encoding scheme are also devised. Through the experiment with 4860 problem instances of various characteristics including the number of machines, the number of jobs, and so on, the proposed algorithm demonstrates its advantages over a recently proposed benchmark algorithm in terms of both solution quality and computational efficiency.