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I have 3 jobs to be processed on each of the 6 operations in the production line. Each operation is processed by one machine. These machines need to be controlled by one worker. Processing times of jobs on machines are identical for every worker. However, worker numbers and machine numbers are unbalanced. There are 4 workers for 6 machines. Most importantly, each worker can control at most one machine simultaneously. But when one operation is complete for all jobs, the same worker can be assigned to another machine since the worker becomes idle after the completion of one operation.

When I try to schedule these jobs on the machines considering worker assignment using a mathematical model, the output schedule assigns one worker to more than one operation at the same time.

Any recommendations (article, constraints structure, etc.) will be appreciated.

Rozzi
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