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- W1592601684 abstract "Publisher Summary This chapter presents an approach for combining constraint programming (CP) with mixed-integer linear programming (MILP) when solving a multistage scheduling problem. The proposed hybrid approach relies on assigning orders to equipment with a MILP subproblem and sequencing with CP. Special cuts are proposed for the MILP subproblem. Results show that the order of magnitude reductions can be achieved in the computation. The chapter discusses the minimization of assignment cost of the orders to the equipment. The rigorous MILP optimization for this problem has proved to be intractable. A two-stage procedure is discussed in which the assignment of orders is performed in the first stage by minimizing the in-process time. In the second stage, the tardiness is minimized for that assignment. An alternate MILP model is developed in which the assignment and sequencing variables are treated separately, thereby reducing the number of binary variables but at the expense of introducing undesirable big-M constraints that exhibit poor linear programming (LP) relaxations. A decomposition strategy is used in which the assignment of orders to equipment is performed with a relaxed MILP master model while the sequencing is performed with a CP model. Solutions of the CP problem are used to generate cuts that are incorporated to the MILP master problem." @default.
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- W1592601684 date "2001-01-01" @default.
- W1592601684 modified "2023-09-27" @default.
- W1592601684 title "Combined MILP-constraint programming approach for the optimal scheduling of multistage batch processes" @default.
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- W1592601684 doi "https://doi.org/10.1016/s1570-7946(01)80140-1" @default.
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