The note deals with machine scheduling problems with a more general learning effect model, i.e., the actual job processing time is a function of the sum of the function of the processing times of the jobs already processed and job position. We show that some single machine scheduling problems...

We consider the online bounded-batch scheduling to minimize total weighted completion time on parallel machines. In the problem, a set of n independent jobs arriving online over time has to be scheduled on m given machines, where the information of each job including its processing time and...