An MILP-based makespan minimization model for single-machine scheduling problem with splitable jobs and availability constraints

Author(s):  
Van Huy Nguyen ◽  
Nguyen Huynh Tuong ◽  
Van Hoai Tran ◽  
Nam Thoai



Author(s):  
Van Huy Nguyen ◽  
Nguyen Huynh Tuong ◽  
Hua Phung Nguyen ◽  
Thanh Hien Nguyen

This paper deals with a single machine scheduling problem with availability constraints. The jobs are splitable and lower bound on the size of each sub-job is imposed. The objective is to find a feasible schedule that minimizes the makespan. The proposed scheduling problem is proved to be NP-hard in the strong sense. Some effective heuristic algorithms are then proposed. Additionally, computational results show that the proposed heuristic performs well.







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