Research Article
Multisystem Optimization for an Integrated Production Scheduling with Resource Saving Problem in Textile Printing and Dyeing
Table 1
The symbols and notations used in the proposed model.
| Indices | I | Job | J | Procedure | k | Machine | n | Number of jobs | m | Number of procedures | | Number of parallel machines |
| Variables | | = 1 if the jth procedure of the ith job is processed on the kth machine | | Job sequence |
| Parameters | | Production cost of the jth procedure of the ith job on the kth machine | | Unit processing cost of the jth procedure of the ith job on the kth machine | | Finishing time of the ith job through all procedures | | Finishing time of the ith job through the jth procedures | | Processing time of the jth procedure of the ith job on the kth machine | | Set-up time of the kth machine when the (j-1)th procedure changes to the jth procedure for the ith job | | Standby time of the kth machine when the (j-1)th procedure changes to the jth procedure for the ith job | | Unit processing power of the jth procedure of the ith job on the jth machine | | Unit set-up power of the kth machine when the (j-1)th procedure changes to the jth procedure for the ith job | | Unit standby power of the kth machine when the (j-1)th procedure changes to the jth procedure for the ith job | | Auxiliary unit power of the kth machine during the jth procedure | | Unit water wastage of the kth machine when processing the jth procedure of the ith job | | Unit water wastage of the kth machine in the set-up stage of the jth procedure |
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