<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0012-7353</journal-id>
<journal-title><![CDATA[DYNA]]></journal-title>
<abbrev-journal-title><![CDATA[Dyna rev.fac.nac.minas]]></abbrev-journal-title>
<issn>0012-7353</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional de Colombia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0012-73532020000100155</article-id>
<article-id pub-id-type="doi">10.15446/dyna.v87n212.82636</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Aluminum bar cutting optimization for door and window manufacturing]]></article-title>
<article-title xml:lang="es"><![CDATA[Optimización de corte de barras de aluminio para la fabricación de puertas y ventanas]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[de Araujo-Machado]]></surname>
<given-names><![CDATA[Ageu]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Zayatz]]></surname>
<given-names><![CDATA[João Carlos]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Melluzzi Neto]]></surname>
<given-names><![CDATA[Guilherme]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[da Silva]]></surname>
<given-names><![CDATA[Marcos Meurer]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Lapasini Leal]]></surname>
<given-names><![CDATA[Gislaine Camila]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Palma Lima]]></surname>
<given-names><![CDATA[Rafael Henrique]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
<xref ref-type="aff" rid="Aaf"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,State University of Maringá Graduate Program in Production Engineering ]]></institution>
<addr-line><![CDATA[Paraná ]]></addr-line>
<country>Brazil</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Federal University of Technology - Paraná  ]]></institution>
<addr-line><![CDATA[Paraná ]]></addr-line>
<country>Brazil</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>03</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>03</month>
<year>2020</year>
</pub-date>
<volume>87</volume>
<numero>212</numero>
<fpage>155</fpage>
<lpage>162</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0012-73532020000100155&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0012-73532020000100155&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0012-73532020000100155&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract This study aims to optimize the one-dimensional cutting process of aluminum bars for the production of aluminum doors. Reducing the use of bars and the amount of material that becomes scrap is a key factor in process efficiency, reducing the need for raw material procurement. The mathematical model used considers the size of the bar, the number and size of cuts, the size of the leftovers that can be used and the size of the leftovers that are considered scrap. Based on real data from a company in the aluminum frame segment, the mathematical model was used to simulate three different scenarios. Three different objective functions were used in the simulations, and the results obtained in each scenario were described in order to indicate the advantages and disadvantages of using each objective function. For the instance sizes studied, the model is able to obtain optimal solutions with little computational time.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen El presente trabajo tiene como objetivo optimizar el proceso de corte unidimensional de barras de aluminio para la producción de puertas de aluminio. Reducir el uso de barras y la cantidad de material que se convierte en chatarra es un factor clave en la eficiencia del proceso, reduciendo la necesidad de adquisición de materia prima. El modelo matemático utilizado considera el tamaño de la barra, el número y el tamaño de los cortes, el tamaño sobrante a que se puede usar y el tamaño sobrante que se considera chatarra. Basado en datos reales de una compañía en el segmento de marcos de aluminio, el modelo matemático se utilizó para simular tres escenarios diferentes. Se utilizaron tres funciones objetivo diferentes para el mismo modelo en las simulaciones y se describieron los resultados obtenidos en cada escenario para las tres funciones con el fin de indicar las ventajas y desventajas de usar cada función objetivo. Para los tamaños de instancia estudiados, el modelo puede obtener soluciones óptimas con poco tiempo computacional.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[one-dimensional cut]]></kwd>
<kwd lng="en"><![CDATA[mathematical modeling]]></kwd>
<kwd lng="en"><![CDATA[aluminum]]></kwd>
<kwd lng="es"><![CDATA[corte unidimensional]]></kwd>
<kwd lng="es"><![CDATA[modelo matemático]]></kwd>
<kwd lng="es"><![CDATA[aluminio]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>[1]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[Shi]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Shi]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhao]]></surname>
<given-names><![CDATA[Q]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Integrated optimisation on flow-shop production with cutting stock]]></article-title>
<source><![CDATA[International Journal of Production Research]]></source>
<year>2018</year>
<page-range>1-17</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>[2]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Coelho]]></surname>
<given-names><![CDATA[K.R.]]></given-names>
</name>
<name>
<surname><![CDATA[Cherri]]></surname>
<given-names><![CDATA[A.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Baptista]]></surname>
<given-names><![CDATA[E.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Jabbour]]></surname>
<given-names><![CDATA[C.J.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Soler]]></surname>
<given-names><![CDATA[E.M]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Sustainable operations: the cutting stock problem with usable leftovers from a sustainable perspective]]></article-title>
<source><![CDATA[Journal of Cleaner Production]]></source>
<year>2017</year>
<volume>167</volume>
<page-range>545-52</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>[3]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cherri]]></surname>
<given-names><![CDATA[A.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Arenales]]></surname>
<given-names><![CDATA[M.N.]]></given-names>
</name>
<name>
<surname><![CDATA[Yanasse]]></surname>
<given-names><![CDATA[H.H]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The usable leftover one&#8208;dimensional cutting stock problem- A priority&#8208;in&#8208;use heuristic]]></article-title>
<source><![CDATA[International Transactions in Operational Research]]></source>
<year>2013</year>
<volume>20</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>189-99</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>[4]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Benjaoran]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
<name>
<surname><![CDATA[Sooksil]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Metham]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Effect of demand variations on steel bars cutting loss]]></article-title>
<source><![CDATA[International Journal of Construction Management]]></source>
<year>2019</year>
<volume>19</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>137-48</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>[5]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yanasse]]></surname>
<given-names><![CDATA[H.H.]]></given-names>
</name>
<name>
<surname><![CDATA[Lamosa]]></surname>
<given-names><![CDATA[M.J.P]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[An integrated cutting stock and sequencing problem]]></article-title>
<source><![CDATA[European Journal of Operational Research]]></source>
<year>2007</year>
<volume>183</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>1353-70</page-range></nlm-citation>
</ref>
<ref id="B6">
<label>[6]</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[K&#322;osowski]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Koz&#322;owski]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Gola]]></surname>
<given-names><![CDATA[A]]></given-names>
</name>
</person-group>
<source><![CDATA[Integer linear programming in optimization of waste after cutting in the furniture manufacturing]]></source>
<year>2017</year>
<conf-name><![CDATA[ International Conference on Intelligent Systems in Production Engineering and Maintenance]]></conf-name>
<conf-loc> </conf-loc>
<page-range>260-70</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>[7]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Suliman]]></surname>
<given-names><![CDATA[S.M.A]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A sequential heuristic procedure for the two-dimensional cutting-stock problem]]></article-title>
<source><![CDATA[International Journal of Production Economics]]></source>
<year>2006</year>
<volume>99</volume>
<numero>1-2</numero>
<issue>1-2</issue>
<page-range>177-85</page-range></nlm-citation>
</ref>
<ref id="B8">
<label>[8]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Abuabara]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Morabito]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Cutting optimization of structural tubes to build agricultural light aircrafts]]></article-title>
<source><![CDATA[Annals of Operations Research]]></source>
<year>2009</year>
<volume>169</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>149-5</page-range></nlm-citation>
</ref>
<ref id="B9">
<label>[9]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kallrath]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Rebennack]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Kallrath]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Kusche]]></surname>
<given-names><![CDATA[R]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Solving real-world cutting stock-problems in the paper industry: Mathematical approaches, experience and challenges]]></article-title>
<source><![CDATA[European Journal of Operational Research]]></source>
<year>2014</year>
<volume>238</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>374-89</page-range></nlm-citation>
</ref>
<ref id="B10">
<label>[10]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Reinertsen]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Vossen]]></surname>
<given-names><![CDATA[T.W]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The one-dimensional cutting stock problem with due dates]]></article-title>
<source><![CDATA[European Journal of Operational Research]]></source>
<year>2010</year>
<volume>201</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>701-11</page-range></nlm-citation>
</ref>
<ref id="B11">
<label>[11]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cui]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Song]]></surname>
<given-names><![CDATA[X.]]></given-names>
</name>
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Cui]]></surname>
<given-names><![CDATA[Y.P]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[New model and heuristic solution approach for one-dimensional cutting stock problem with usable leftovers]]></article-title>
<source><![CDATA[Journal of the Operational Research Society]]></source>
<year>2017</year>
<volume>68</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>269-80</page-range></nlm-citation>
</ref>
<ref id="B12">
<label>[12]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Stadtler]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A one-dimensional cutting stock problem in the aluminium industry and its solution]]></article-title>
<source><![CDATA[European Journal of Operational Research]]></source>
<year>1990</year>
<volume>44</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>209-23</page-range></nlm-citation>
</ref>
<ref id="B13">
<label>[13]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Poldi]]></surname>
<given-names><![CDATA[K.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Arenales]]></surname>
<given-names><![CDATA[M.N]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Heuristics for the one-dimensional cutting stock problem with limited multiple stock lengths]]></article-title>
<source><![CDATA[Computers &amp; Operations Research]]></source>
<year>2009</year>
<volume>36</volume>
<numero>6</numero>
<issue>6</issue>
<page-range>2074-81</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>[14]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Martinovic]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Scheithauer]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[de Carvalho]]></surname>
<given-names><![CDATA[J.V]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A comparative study of the arcflow model and the one-cut model for one-dimensional cutting stock problems]]></article-title>
<source><![CDATA[European Journal of Operational Research]]></source>
<year>2018</year>
<volume>266</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>458-71</page-range></nlm-citation>
</ref>
<ref id="B15">
<label>[15]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wäscher]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Haußner]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Schumann]]></surname>
<given-names><![CDATA[H]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[An improved typology of cutting and packing problems]]></article-title>
<source><![CDATA[European Journal of Operational Research]]></source>
<year>2007</year>
<volume>183</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>1109-30</page-range></nlm-citation>
</ref>
<ref id="B16">
<label>[16]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tomat]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Gradi&#353;ar]]></surname>
<given-names><![CDATA[M]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[One-dimensional stock cutting: optimization of usable leftovers in consecutive orders]]></article-title>
<source><![CDATA[Central European Journal of Operations Research]]></source>
<year>2017</year>
<volume>25</volume>
<page-range>473-89</page-range></nlm-citation>
</ref>
<ref id="B17">
<label>[17]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Leao]]></surname>
<given-names><![CDATA[A.A.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Santos]]></surname>
<given-names><![CDATA[M.O.]]></given-names>
</name>
<name>
<surname><![CDATA[Hoto]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Arenales]]></surname>
<given-names><![CDATA[M.N]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The constrained compartmentalized knapsack problem: mathematical models and solution methods]]></article-title>
<source><![CDATA[Eur. J. Oper. Res]]></source>
<year>2011</year>
<volume>212</volume>
<page-range>455-63</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
