MIP models for the irregular strip packing problem: new symmetry breaking constraints

被引：7

作者：

Rodrigues, Marcos Okamura ^{[1
]}

Cherri, Luiz Henrique ^{[1
]}

Mundim, Leandro Resende ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense,400 Ctr, Sao Carlos, SP, Brazil

来源：

12TH INTERNATIONAL CONFERENCE APPLIED MATHEMATICAL PROGRAMMING AND MODELLING-APMOD 2016 | 2017年 / 14卷

基金：

巴西圣保罗研究基金会;

关键词：

PROGRAMMING-MODELS;

D O I：

10.1051/itmconf/20171400005

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The irregular strip packing problem consists in minimizing the length used to cut a set of pieces from a board with fixed width. Recently, a mixed integer programming model was proposed for the problem, but it may allow a large number of symmetric solutions. In this paper, new symmetry breaking constraints are proposed to improve the model. Computational experiments were performed for instances with convex pieces. The results show the proposed formulation is better than the previous one for most instances, since it improves lower bounds and reduces run-time and number of nodes explored to prove optimality.

引用

页数：7

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