Algorithms for Hybrid MILP/CP Models for a Class of Optimization Problems
INFORMS Journal on Computing
A Hybrid Method for the Planning and Scheduling
Constraints
Planning and Scheduling by Logic-Based Benders Decomposition
Operations Research
Solving two-machine assembly scheduling problems with inventory constraints
Computers and Industrial Engineering
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Logic-based Benders decomposition can combine mixed integer programming and constraint programming to solve planning and scheduling problems much faster than either method alone. We find that a similar technique can be beneficial for solving pure scheduling problems as the problem size scales up. We solve single-facility non-preemptive scheduling problems with time windows and long time horizons that are divided into segments separated by shutdown times (such as weekends). The objective is to find feasible solutions, minimize makespan, or minimize total tardiness.