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{\Large \bf DIMACS EDUCATIONAL MODULES SERIES}

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{\Large \bf MODULE 03-2}\\
{\Large \bf   Facility Location Problems  }\\
{\large \bf Date prepared:} \textbf{March 27,2003}

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{\bf R. S. (Chuck) Tiberio \footnote{Written under the auspices of 
DREI98, supported by NSF Grant DMS 9412914}}\\
{\bf  Wellesley High School \\
     Wellesley, MA  02481 }\\
{\bf   email:  tiberio@tiac.net }\\

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{\large \bf Module Description Information}
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\begin{itemize}
\item {\bf Title:}

 \textbf{Facility Location Problems}


\item {\bf Author(s):}

R. S. (Chuck) Tiberio

\item {\bf Abstract:}

     This module investigates the placement of emergency and service
facilities in a network of towns connected by roads.  Criteria for placement
and algorithms for implementation are also discussed.

\item {\bf Informal Description:}

    Sometimes commonly used public facilities (like a fire station or a
shopping mall) are built where there is available land.  Perhaps it would be
better to build them in places which would maximize their use by the general
public or facilitate their use by emergency personel.  This module will
address such questions and discuss possible methods of solution.

\item {\bf Target Audience:}

     The intended target audience is high school seniors of average
mathematical ability who are taking a course in discrete mathematics.
However the module would certainly be appropriate for college students in a
similar course.



\item {\bf Prerequisites:}

  Students should be comfortable with the concept of graph and using a
graph to model a physical situation.  They should be familiar with basic
matrix operations.  Ability to use a TI-83 calculator would also be helpful.

\item {\bf Mathematical Field:}

 Graph Theory (including weighted graphs)\\
     Elementary Matrix Operations


\item {\bf Applications Areas:}

    The author's intended application for this module is pedagogical.  A
student with a basic  understanding of graphs and matrices can now see how
these can be applied in a "real world" setting.

\item {\bf Mathematics Subject Classification:}

 Primary Classification: 90B80, 05C85

\item {\bf Contact Information:}

R. S. Tiberio \\
     Wellesley High School \\
     50 Rice Street \\
          Wellesley, MA 02481\\
     email:  tiberio@tiac.net


\item {\bf Other DIMACS modules related to this module:}

None at this time

\end{itemize}


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