Abstract
We study scheduling problems on parallel dedicated machines. Thus, each job can be processed on one specific machine only. The option of job-rejection is considered, and the total permitted rejection cost of all the jobs is bounded. Six scheduling problems are solved: ( i ) minimising makespan, ( ii ) minimising makespan with release-dates, ( iii ) minimising total completion time, ( iv ) minimising total weighted completion time, ( v ) minimising total load, and ( vi ) minimising maximum tardiness. Pseudo-polynomial dynamic programming algorithms are introduced for all these NP-hard problems.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have