Research Article
An Improved Immune Genetic Algorithm for Solving the Flexible Job Shop Scheduling Problem with Batch Processing
Table 1
Mathematical symbols and their definitions.
| Mathematics symbol | Symbol definition and interpretation |
| | Total number of jobs | | Total number of machines | Ω | Total machine set | | Machine serial number, | | Job serial number, 。 | | Total number of operations of the job | | Operation sequence, | | Optional processing machine set for the operation h of the job j | | Number of optional processing machines for the operation h of the job | | Operations h of the job | | Operations of the job j is processed on machine i | | Processing time of the operations h of the job on machine | | Processing start time of the operations of the job | | Completion time of the operations of the job | | A positive number large enough | | Due date of the job | | Completion time of each job | | Batch processing time of the job | | Size of the job | | Arrival time of the job to the buffer of the batch processing machine | | Batch processing machine capacity | | Set of jobs in batch | | Sets of all batches | | Available time of batch , the maximum arrival time of all jobs in batch b | | Start time of batch | | Processing time of batch , the maximum processing time of all jobs in batch | | Completion time of batch |
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