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| Notations | Meanings |
|
| Total number of jobs |
| Total number of operations contained in job |
| Number of stations in manufacturing stage |
| Serial number of stations in manufacturing stage, |
| Number of parallel machines at station in manufacturing stage |
| Serial number of machines at station , , |
| Reentry number of job i in manufacturing stage |
| Number of stations in inspection and repair stage, |
| Serial number of stations in inspection and repair stage, |
| Number of parallel machines at station in inspection and repair stage |
| Serial number of machines at station , |
| Reentry number of job in inspection and repair stage |
| The j-th operation of job |
| Processing time of on machine at station |
| Inspection and repair time of on machine at station |
| A large positive number |
| Processing power of machine at station |
| Idle power of machine at station |
| Idle time of machine at station |
| Processing power of machine at station |
| Idle power of machine at station |
| Idle time of machine at stage |
| Total carbon emissions from machines processing in manufacturing stage |
| Total carbon emissions from machines processing in inspection and repair stage |
| Total carbon emissions from machines in idle state in manufacturing stage |
| Total carbon emissions from machines in idle state in inspection and repair stage |
| Total carbon emissions from lubricants used by machines in manufacturing stage |
| Total carbon emissions from lubricants used by machines in inspection and repair stage |
| Carbon emission factor of electric energy |
| The finishing time of machine at station (the finishing time of the last operation on machine ) |
| The start time of machine at station (the start time of the first operation on machine ) |
| The finishing time of machine at station (the finishing time of the last operation on machine ) |
| The start time of machine at station (the start time of the first operation on machine ) |
| The usage amount of lubricants on machine at station |
| The usage amount of lubricants on machine at station |
| Effective service time of lubricants on machine at station |
| Effective service time of lubricants on machine at station |
| Carbon emissions factor of lubricants |
| The start time of |
| The set of all operations processed at station ; due to the reentrant characteristics, the same job may appear multiple times in it |
| The completion time of job |
| PM unit activity costs of machine at station |
| PM fixed costs of machine at station |
| PM time of machine at station |
| The idle time of machine at station before the next operation starts processing |
| 1 indicates is processed on machine at stage ; 0 indicates is not processed on machine at stage |
| 1 indicates is inspected or repaired on machine at stage ; 0 indicates is not inspected and repaired on machine at stage |
| 1 indicates is processed before on machine at stage ; 0 indicates is not processed before |
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