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Constraint Programming model

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Abstract and 1. Introduction

  1. Mixed integer and constraint programming models

    2.1 Mixed-integer linear programming model

    2.2 Constraint Programming model

  2. Constructive Heuristics

  3. Benchmark instances

  4. Numerical experiments

    5.1 Experiments with the constructive heuristics

    5.2 Solving the proposed models with a commercial solver

  5. Conclusions and References

2.2 Constraint Programming model

Constraint Programming (CP) is a potent methodology widely employed for solving scheduling problems in academic and industrial literature. CP Optimizer [19], being an optimization commercial solver rooted in CP, incorporates specialized concepts of constraints and variables, significantly facilitating the modeling process for scheduling problems. In this section, we introduce a CP model specifically designed for its utilization in connection with CP Optimizer. The syntax of CP Optimizer is defined as it arises within the formulation. The model follows below.




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 available on arxiv under CC by 4.0 Deed (Attribution 4.0 International) license.


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