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Actually, If the problem is only for processing n jobs on only one machine, the solution to minimize the average flow time is easy by using SPT method (short processing time). The method goes by assigning the jobs with short processing times first .

But the problem becomes more challenging when there are m machines; in this case Johnson algorithm is used which only guarantees the optimality for two machines only .

For more than two machines, integer integer programming modes are used.

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