Poster2010_DPS_Pedro Brás

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    University of MinhoSchool of EngineeringCentre of Biological Engineering

    Engenharia para a Qualidade de Vida Semana da Escola de Engenharia -11 a 16 de Outubro de 2010

    LEATHER NESTING IN THE AUTOMOTIVE INDUSTRY

    The general definition of two-dimensional cutting stock problem

    is, given a set of geometric shapes, find its optimal layout on a

    larger shape. This optimal solution may consist in minimizing the

    wastage of material, maximizing the area of the parts placed or

    maximizing the value of the shapes placed.

    Cutting stock problems are crucial processes in many fields of

    industry, such as textile, leather, wood, steel, glass, etc. The

    importance of these problems is related to how effective the raw

    material is used and, depending of its cost and quantity, the

    financial impact may be decisive to the company competitive

    status.

    In this project, we consider the problem of placing on leather

    hides a set of irregular 2D shapes, which are parts of cars seats.

    This project is an applied research project involving a portuguese

    automotive company with the purpose of contributing to

    modernize the cutting processes by defining and implementing

    efficient nesting algorithms.

    Author* PEDRO BRSSupervisors: Cludio Alves, Jos Valrio de Carvalho

    * [email protected]

    CONSTRUCTIVE ALGORITHMS FOR LEATHER NESTING IN THE AUTOMOTIVE INDUSTRY

    NESTING APPLICATIONConstructive Algorithm

    Grouping strategiesGiven a set of pieces, takenfrom real industrial instances,these strategies will separatethem into subsets regardingdifferent characteristics and/orplacement tactics

    Selection strategiesUsing the groups previouslycreates, some selection

    strategies were developed todetermine which piece will beselected for placement followingdifferent sequencing approaches

    Placement strategiesThese strategies will explore theavailable empty places in thehide to lay the pieces selected.For this procedure we deeplyuse the No-Fit-Polygon conceptby calculating the Minkowskisums between polygons,including contours, quality areasand defects

    Evaluation strategiesSeveral evaluations techniquesare used to evaluate theplacement quality of the piecesin the hide, with the purpose ofmaximize the leather utilization.These evaluation contemplatecontour adjustment, quality areausage, etc.

    IMPLEMENTATION

    Data extraction moduleFile content reading

    Graphic functionsPolygon representation

    Geometric functionsMinkowski sumPolygon simplificationPolygon grouping

    Name:

    Pedro A. Fonseca Brs

    Email:

    [email protected]

    Education:

    Graduation degree in MathematicsMaster degree in Industrial Engineering

    Domain of specialization:

    Production and System Engineering Operations Research

    Area of scientific activity:

    Optimization, cutting and packing problems