Batching and scheduling jobs on batch and discrete processors
Operations Research
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Minimizing makespan in a two-machine flowshop with dynamic arrivals allowed
Computers and Operations Research
Minimizing the makespan on a batch machine with non-identical job sizes: an exact procedure
Computers and Operations Research
Minimizing makespan on a single burn-in oven with job families and dynamic job arrivals
Computers and Operations Research
A hybrid two-stage flowshop with limited waiting time constraints
Computers and Industrial Engineering
Scheduling Batches with Sequential Job Processing for Two-Machine Flow and Open Shops
INFORMS Journal on Computing
Scheduling a capacitated batch-processing machine to minimize makespan
Robotics and Computer-Integrated Manufacturing
Mixed integer formulation to minimize makespan in a flow shop with batch processing machines
Mathematical and Computer Modelling: An International Journal
Efficient scheduling algorithms for a single batch processing machine
Operations Research Letters
Tabu search heuristic for two-machine flowshop with batch processing machines
Computers and Industrial Engineering
An effective neighborhood search algorithm for scheduling a flow shop of batch processing machines
Computers and Industrial Engineering
Tabu search and lower bounds for a combined production-transportation problem
Computers and Operations Research
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This paper aims at minimizing the makespan of two batch-processing machines in a flow shop. The processing times and the sizes of the jobs are known and non-identical. The machines can process a batch as long as its capacity is not exceeded. The processing time of a batch is the longest processing time among all the jobs in that batch. The problem under study is NP-hard for makespan objective. Consequently, a heuristic based on Johnson's algorithm and a simulated annealing (SA) algorithm is proposed. Random instances were generated to verify the effectiveness of the proposed approaches. The results obtained from SA were compared with the proposed heuristic and a commercial solver. The SA outperformed both the heuristic and the commercial solver. On larger problem instances, the heuristic outperformed the commercial solver.