Sequencing with earliness and tardiness penalties: a review
Operations Research
Minimizing total tardiness on one machine is NP-hard
Mathematics of Operations Research
The One-Machine Problem with Earliness and Tardiness Penalties
Journal of Scheduling
Lagrangian bounds for just-in-time job-shop scheduling
Computers and Operations Research
Computers and Operations Research
Proposition of selection operation in a genetic algorithm for a job shop rescheduling problem
EMO'05 Proceedings of the Third international conference on Evolutionary Multi-Criterion Optimization
Proceedings of the 13th annual conference on Genetic and evolutionary computation
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This paper presents a combination of evolutionary algorithm and mathematical programming with an efficient local search procedure for a just-in-time job-shop scheduling problem (JITJSSP). Each job on the JITTSSP is composed by a sequence of operations, each operation having a specific machine where it must be scheduled and a due date when it should be completed. There is a tardiness cost if an operation is finished later than its due date and also an earliness cost if finished before. The objective is to find a feasible scheduling obeying precedence and machine constraints, minimizing the total earliness and tardiness costs. The experimental results with instances from the literature show the efficiency of the proposed hybrid method: it was able to improve the known upper bound for most of the instances tested, in very little computational time.