| J | number of jobs |
| P | number of operations |
| M | number of machines |
| i,l | index for jobs, 1 ≤ i ≤ J |
| j,m | index for operations, 1 ≤ j ≤ P |
| k,n | index for machines, 1 ≤ k ≤ M |
| dijk | 1, if jth operation of ith job runs on kth machine. |
| 0, otherwise. | |
| pijk | processing time of jth operation of ith job on kth machine. |
| xijk | completion time of jth operation of ith job on kth machine. |
| number of jobs | |
| number of operations | |
| number of machines | |
| index for jobs, 1 ≤ | |
| index for operations, 1 ≤ | |
| index for machines, 1 ≤ | |
| 1, if | |
| 0, otherwise. | |
| processing time of | |
| completion time of |
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