The single machine early/tardy problem
Management Science
Sequencing with earliness and tardiness penalties: a review
Operations Research
A branch-and-bound algorithm for the single machine earliness and tardiness scheduling problem
Computers and Operations Research
Scheduling with Inserted Idle Time: Problem Taxonomy and Literature Review
Operations Research
Scheduling: Theory, Algorithms, and Systems
Scheduling: Theory, Algorithms, and Systems
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In this article, we study a two-parallel machine's early-tardy scheduling problem where some jobs need to be processed by one machine, while the others have to be processed by both machines simultaneously. The objective is to minimize the total earliness and tardiness penalties. Some optimality properties are derived, and then a heuristic method that can find approximate solutions efficiently is proposed. The method can solve 1000-job problems very quickly as the simulation results show.