<?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>1409-2433</journal-id>
<journal-title><![CDATA[Revista de Matemática Teoría y Aplicaciones]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Mat]]></abbrev-journal-title>
<issn>1409-2433</issn>
<publisher>
<publisher-name><![CDATA[Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1409-24332014000100009</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Ubicación de radiopatrullas policiales para la vigilancia pública con dos modelos multicriterio]]></article-title>
<article-title xml:lang="en"><![CDATA[Location of police cars for public surveillance using two multicriteria models]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[García]]></surname>
<given-names><![CDATA[Maria J.]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hernández]]></surname>
<given-names><![CDATA[Gilberto]]></given-names>
</name>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hernández R]]></surname>
<given-names><![CDATA[José G.]]></given-names>
</name>
<xref ref-type="aff" rid="A03"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Minimax Consultores  ]]></institution>
<addr-line><![CDATA[ Caracas]]></addr-line>
<country>Venezuela</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Minimax Consultores  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<aff id="A03">
<institution><![CDATA[,Universidad Metropolitana  ]]></institution>
<addr-line><![CDATA[ Caracas]]></addr-line>
<country>Venezuela</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2014</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2014</year>
</pub-date>
<volume>21</volume>
<numero>1</numero>
<fpage>145</fpage>
<lpage>158</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_arttext&amp;pid=S1409-24332014000100009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_abstract&amp;pid=S1409-24332014000100009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.sa.cr/scielo.php?script=sci_pdf&amp;pid=S1409-24332014000100009&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[El auge delictivo en algunas ciudades latinoamericanas obliga el incremento de patrullas y efectivos policiales. Lamentablemente no suelen haber vehículos suficientes para ubicar en todos los lugares candidatos. En la ubicación de patrullas, hay muchos parámetros a considerar, convirtiéndolo en un problema multicriterio. Dos técnicas multicriterios sencillas de usar son los Modelos Multiatributo con Factores multiplicativos (MMcFm) y las Matrices De Ponderación (MDP). Los MMcFm toman la decisión, considerando los criterios que caracterizan la situación y los atributos, que definen estos criterios. Las MDP, sólo toman en cuenta criterios. La facilidad de uso de estos dos tipos de modelos, ha inspirado el objetivo de este trabajo: Construir un par de modelos multicriterio, que en forma independiente permitan ubicar patrullas en una determinada población: Un Modelo Multiatributo con Factores multiplicativos y una Matriz De Ponderación.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[The criminal boom in some Latin-American cities obliges the increment of patrols and policemen. Sadly they do not there sufficient vehicles to locate in all the places candidates. In the location of patrols, there are many parameters to consider, becoming a multi-criteria problem. Two multi-criteria technical simpler to use are Multiattribute Model with Multiplicative factors (MMwMf) and Matrix Of Weighing (MOW). The MMwMf making decisions, considering the criteria that characterize the situation and the attributes, that define these criteria. By the other side the MOW, only they take into account criteria. The user friendliness of these two kinds of models, has inspired the objective of this work: Creating a pair of model multi-criterion, that in independent form they permit to locate patrols in a determined population: A MultiattributeModel with Multiplicative factors (MMwMf) and a Matrix Of Weighing (MOW).]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[modelos multicriterios]]></kwd>
<kwd lng="es"><![CDATA[modelos multiatributos con factores multiplicativos (MMcFm)]]></kwd>
<kwd lng="es"><![CDATA[matrices de ponderación (MDP)]]></kwd>
<kwd lng="es"><![CDATA[radiopatrullas]]></kwd>
<kwd lng="es"><![CDATA[problemas sociales]]></kwd>
<kwd lng="en"><![CDATA[multicriteria models]]></kwd>
<kwd lng="en"><![CDATA[multiattribute model with multiplicative factors (MMwMf)]]></kwd>
<kwd lng="en"><![CDATA[matrix of weighing (MOW)]]></kwd>
<kwd lng="en"><![CDATA[patrols]]></kwd>
<kwd lng="en"><![CDATA[socials problems]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[ <div style="text-align: justify;">     <div style="text-align: center;"><font  style="font-family: Verdana; font-weight: bold;" size="4"> Ubicaci&oacute;n de radiopatrullas policiales para la vigilancia p&uacute;blica con dos modelos multicriterio</font>    <br> </div> <font style="font-family: Verdana;" size="2"></font>    <br>     <div style="text-align: center;"><font  style="font-family: Verdana; font-weight: bold;" size="4">Location of police cars for public surveillance using two multicriteria models</font><font  style="font-family: Verdana; font-weight: bold;" size="3"></font></div>     <br>     <div style="text-align: center;"><font style="font-family: Verdana;"  size="2">Maria J. Garc&iacute;a<sup><a href="#1">*</a><a name="4"></a>*</sup></font><font  style="font-family: Verdana;" size="2"> Gilberto Hern&aacute;ndez<sup><a  href="#2">&#8224;</a><a name="5"></a>*</sup></font><font  style="font-family: Verdana;" size="2"> Jos&eacute; G. Hern&aacute;ndez R.</font><sup><font style="font-family: Verdana;"  size="2"><a href="#3">&#8225;</a><a name="6"></a>*</font></sup>    <br> </div> <font style="font-family: Verdana;" size="2"></font>    <br> <small><span style="font-family: Verdana;"><a name="Correspondencia2"></a>*<a  href="#Correspondencia1">Direcci&oacute;n para correspondencia</a></span></small><a  href="#Correspondencia1">:</a>    <br> <hr style="width: 100%; height: 2px;"><font  style="font-family: Verdana;" size="2"></font><font  style="font-family: Verdana; font-weight: bold;" size="3">Resumen</font>    ]]></body>
<body><![CDATA[<br> <font style="font-family: Verdana;" size="2"></font>    <br> <font style="font-family: Verdana;" size="2">El auge delictivo en algunas ciudades latinoamericanas obliga el incremento de patrullas y efectivos policiales. Lamentablemente no suelen haber veh&iacute;culos suficientes para ubicar en todos los lugares candidatos. En la ubicaci&oacute;n de patrullas, hay muchos par&aacute;metros a considerar, convirti&eacute;ndolo en un problema multicriterio. Dos t&eacute;cnicas multicriterios sencillas de usar son los Modelos Multiatributo con Factores multiplicativos (MMcFm) y las Matrices De Ponderaci&oacute;n (MDP). Los MMcFm toman la decisi&oacute;n, considerando los criterios que caracterizan la situaci&oacute;n y los atributos, que definen estos criterios. Las MDP, s&oacute;lo toman en cuenta criterios. La facilidad de uso de estos dos tipos de modelos, ha inspirado el objetivo de este trabajo: Construir un par de modelos multicriterio, que en forma independiente permitan ubicar patrullas en una determinada poblaci&oacute;n: Un Modelo Multiatributo con Factores multiplicativos y una Matriz De Ponderaci&oacute;n.</font>    <br> <font style="font-family: Verdana;" size="2"></font>    <br> <font style="font-family: Verdana;" size="2"><span  style="font-weight: bold;">Palabras clave</span>: modelos multicriterios, modelos multiatributos con factores multiplicativos (MMcFm), matrices de ponderaci&oacute;n (MDP), radiopatrullas, problemas sociales.</font>    <br> <font style="font-family: Verdana;" size="2"></font>    <br> <font style="font-family: Verdana; font-weight: bold;" size="3">Abstract</font>    <br> <font style="font-family: Verdana;" size="2"></font>    <br> <font style="font-family: Verdana;" size="2">The criminal boom in some Latin-American cities obliges the increment of patrols and policemen. Sadly they do not there sufficient vehicles to locate in all the places candidates. In the location of patrols, there are many parameters to consider, becoming a multi-criteria problem. Two multi-criteria technical simpler to use are Multiattribute Model with Multiplicative factors (MMwMf) and Matrix Of Weighing (MOW). The MMwMf making decisions, considering the criteria that characterize the situation and the attributes, that define these criteria. By the other side the MOW, only they take into account criteria. The user friendliness of these two kinds of models, has inspired the objective of this work: Creating a pair of model multi-criterion, that in independent form they permit to locate patrols in a determined population: A MultiattributeModel with Multiplicative factors (MMwMf) and a Matrix Of Weighing (MOW).</font>    <br> <font style="font-family: Verdana;" size="2"></font>    <br> <font style="font-family: Verdana;" size="2"><span  style="font-weight: bold;">Keywords</span>: multicriteria models, multiattribute model with multiplicative factors (MMwMf), matrix of weighing (MOW), patrols, socials problems.</font>    ]]></body>
<body><![CDATA[<br>     <br> <font style="font-family: Verdana;" size="2"><span  style="font-weight: bold;">Mathematics Subject Classification:</span> 90B50, 90C29.</font>    <br> <hr style="width: 100%; height: 2px;"><small><span  style="font-family: Verdana;">    <br> Ver contenido disponible en pdf</span></small>    <br>     <br> <hr style="width: 100%; height: 2px;"><font  style="font-family: Verdana;" size="2"></font><font  style="font-family: Verdana; font-weight: bold;" size="3">Referencias</font>    <br> <font style="font-family: Verdana;" size="2"></font>    <!-- ref --><br> <font style="font-family: Verdana;" size="2">[1] Baca, G. (1995) <span  style="font-style: italic;">Evaluaci&oacute;n de Proyectos</span>, 3ra Edici&oacute;n. McGraw-Hill, M&eacute;xico D.F., M&eacute;xico.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1958693&pid=S1409-2433201400010000900001&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font>    <br> <font style="font-family: Verdana;" size="2"></font>    ]]></body>
<body><![CDATA[<!-- ref --><br> <font style="font-family: Verdana;" size="2">[2] Ben-Mena, S. (2000) &#8220;Introduction aux m&eacute;thodes multicrit&egrave;res d&#8217;aide &agrave; la d&eacute;cision&#8221;, <span style="font-style: italic;">Biotechnol. Agron. Soc. Environ</span> 4: 83&#8211;93.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1958696&pid=S1409-2433201400010000900002&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font>    <br> <font style="font-family: Verdana;" size="2"></font>    <!-- ref --><br> <font style="font-family: Verdana;" size="2">[3] Baucells, M.; Sarin, R. (2003) &#8220;Group decisions with multiple criteria&#8221;, <span style="font-style: italic;">Management Science</span> 49(8): 1105&#8211;1118.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1958699&pid=S1409-2433201400010000900003&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font>    <br> <font style="font-family: Verdana;" size="2"></font>    <!-- ref --><br> <font style="font-family: Verdana;" size="2">[4] EMS (Environmental Management Systems) (1997) &#8220;Project evaluation matrix&#8221;, 1&#8211;44.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1958702&pid=S1409-2433201400010000900004&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font>    <br> <font style="font-family: Verdana;" size="2"></font>    <!-- ref --><br> <font style="font-family: Verdana;" size="2">[5] Ehrgott, M.; Gandibleux, X. (2002) <span style="font-style: italic;">Multiple Criteria Optimization: State of the Art. Annotated Bibliographic Surveys.</span> KluwerAcademic Publishers, Norwell MA, U.S.A.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1958705&pid=S1409-2433201400010000900005&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font>    <br> <font style="font-family: Verdana;" size="2"></font>    <!-- ref --><br> <font style="font-family: Verdana;" size="2">[6] Garc&iacute;a, M.J.; Hern&aacute;ndez, J.G. (2011) &#8220;Multiattribute model with multiplicative factors and matrixes of weighing and the problem of the potable water&#8221;, in: R. Esp&iacute;n, J.M. Marx-G&oacute;mez &amp; A. Racet (Eds.) <span style="font-style: italic;">Towards a Trans-disciplinary Technology for Business Intelligence,Gathering Knowledge Discovery, Knowledge Management and Decision Making.</span> Shaker, Aachen, Germany: 364&#8211;374.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1958708&pid=S1409-2433201400010000900006&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font>    <br> <font style="font-family: Verdana;" size="2"></font>    <!-- ref --><br> <font style="font-family: Verdana;" size="2">[7] Garc&iacute;a, M.J.; Hern&aacute;ndez, J.G.; Hern&aacute;ndez, G.J. (2011) &#8220;Los d&iacute;gitos decrecientes y el modelo A, B, C: una propuesta para el manejo de poblaciones en albergues&#8221;, <span style="font-style: italic;">Revista de Matem&aacute;tica: Teor&iacute;a y Aplicaciones</span> 18(1): 163&#8211;175.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1958711&pid=S1409-2433201400010000900007&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font>    <br> <font style="font-family: Verdana;" size="2"></font>    <!-- ref --><br> <font style="font-family: Verdana;" size="2">[8] Hern&aacute;ndez, J.G.; De Burgos, J.J.; Garc&iacute;a, M.J.; Vel&aacute;squez, Y.M. (2005) &#8220;Locating of emergency vehicles&#8221;, Document presented in <span  style="font-style: italic;">V ALIO/EURO Conference on Combinatorial Optimization,</span> &Eacute;cole Nationale Sup&eacute;rieure des T&eacute;l&eacute;communications (ENST), Paris, France.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1958714&pid=S1409-2433201400010000900008&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font>    ]]></body>
<body><![CDATA[<br> <font style="font-family: Verdana;" size="2"></font>    <!-- ref --><br> <font style="font-family: Verdana;" size="2">[9] Hern&aacute;ndez, J.G.; Garc&iacute;a,M.J.; Hern&aacute;ndez, G.J. (2011) &#8220;Matrixes of weighing and catastrophes&#8221;, <span style="font-style: italic;">International Journal of Distributed Systems and Technologies</span> 2(1): 14&#8211;28.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1958717&pid=S1409-2433201400010000900009&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font>    <br> <font style="font-family: Verdana;" size="2"></font>    <!-- ref --><br> <font style="font-family: Verdana;" size="2">[10] Prasad B. (1995) &#8220;JIT quality matrices for strategic planning and implementation&#8221;, <span style="font-style: italic;">International Journal of Operations and Production Management</span> 15(9): 116&#8211;142.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1958720&pid=S1409-2433201400010000900010&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font>    <br> <font style="font-family: Verdana;" size="2"></font>    <!-- ref --><br> <font style="font-family: Verdana;" size="2">[11] Roy, B.; Vincke, P. (1981) &#8220;Multicriteria analysis: survey and new directions&#8221;, <span style="font-style: italic;">European Journal of Operational Research</span> 8(3): 207&#8211;218.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1958723&pid=S1409-2433201400010000900011&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font>    <br> <font style="font-family: Verdana;" size="2"></font>    ]]></body>
<body><![CDATA[<!-- ref --><br> <font style="font-family: Verdana;" size="2">[12] Shen, S.; O&#8217;Hare, G.M.P. (2004) &#8220;Agent-based resource selection for grid computing&#8221;, <span style="font-style: italic;">International Workshop on Agents and Autonomic Computing and Grid Enabled Virtual Organizations</span> (4): 658&#8211;672.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;[&#160;<a href="javascript:void(0);" onclick="javascript: window.open('/scielo.php?script=sci_nlinks&ref=1958726&pid=S1409-2433201400010000900012&lng=','','width=640,height=500,resizable=yes,scrollbars=1,menubar=yes,');">Links</a>&#160;]<!-- end-ref --></font>    <br> <font style="font-family: Verdana;" size="2"></font>    <br> <small><span style="font-family: Verdana;"><a name="Correspondencia1"></a><a  href="#Correspondencia2">*</a>Correspondencia a:</span></small>    <br> <font style="font-family: Verdana;" size="2">Maria J. Garc&iacute;a: </font><font  style="font-family: Verdana;" size="2">Minimax Consultores. Caracas, Venezuela. E-Mail: Mariminimagarcia@yahoo.com</font>    <br> <font style="font-family: Verdana;" size="2">Gilberto Hern&aacute;ndez:</font><font  style="font-family: Verdana;" size="2">Misma direcci&oacute;n que/Same address as: M. Garc&iacute;a. E-Mail: Minimaxconsultores@yahoo.com</font>    <br> <font style="font-family: Verdana;" size="2">Jos&eacute; G. Hern&aacute;ndez R.: </font><font style="font-family: Verdana;"  size="2">Departamento Gesti&oacute;n de la Tecnolog&iacute;a, Universidad Metropolitana. Caracas, Venezuela. E-Mail: jhernandez@unimet.edu.ve</font>    <br> <font style="font-family: Verdana;" size="2"><a name="1"></a><a  href="#4">*</a>Minimax Consultores. Caracas, Venezuela. E-Mail: Mariminimagarcia@yahoo.com</font>    <br> <font style="font-family: Verdana;" size="2"><a name="2"></a><a  href="#5">&#8224;</a>Misma direcci&oacute;n que/Same address as: M. Garc&iacute;a. E-Mail: Minimaxconsultores@yahoo.com</font>    <br> <font style="font-family: Verdana;" size="2"><a name="3"></a><a  href="#6">&#8225;</a>Departamento Gesti&oacute;n de la Tecnolog&iacute;a, Universidad Metropolitana. Caracas, Venezuela. E-Mail: jhernandez@unimet.edu.ve</font>    ]]></body>
<body><![CDATA[<br> <hr style="width: 100%; height: 2px;">     <div style="text-align: center;"><font  style="font-family: Verdana; font-weight: bold;" size="2">Received: 21/Feb/2012; Revised: 15/Jun/2013; Accepted: 17/Jul/2013</font><font  style="font-family: Verdana;" size="2"></font></div> </div>      ]]></body><back>
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