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Mixed integer and constraint programming models
2.1 Mixed-integer linear programming model
The adoption of position-based decision variables serves as the fundamental approach for modeling problems involving position-based learning effects, as it enables a more natural expression of constraints related to the change in processing times. The proposed MILP model is derived from [4] and is built upon the model introduced in [25] that considers position-based decision variables; see also [26]. Notation below simplifies the presentation of the model.
The MILP model follows.
Authors:
(1) K. A. G. Araujo, Department of Applied Mathematics, Institute of Mathematics and Statistics, University of Sao Paulo, Rua do Matao, 1010, Cidade Universitaria, 05508-090, Sao Paulo, SP, Brazil ([email protected]);
(2) E. G. Birgin, Department of Computer Science, Institute of Mathematics and Statistics, University of Sao Paulo, Rua do Matao, 1010, Cidade Universitaria, 05508-090, Sao Paulo, SP, Brazil ([email protected]);
(3) D. P. Ronconi, Department of Production Engineering, Polytechnic School, University of Sao Paulo, Av. Prof. Luciano Gualberto, 1380, Cidade Universitaria, 05508-010 Sao Paulo, SP, Brazil ([email protected]).
This paper is
