%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                             %
%  This is mor.sty prepared by Nimrod Megiddo, June 21, 2004  %
%                                      revised June 29, 2004  %
%  Please start your .tex file with:                          %
%                                                             %
%    \documentclass[twoside]{article}                         %
%    \usepackage{mor}                                         %
%                                                             %
%  This style uses the packages:                              %
%   theorem, amssymb, graphicx, hyperref                      %
%                                                             %
%  If you have to use additional packages, please place all   %
%  the \usepackage{} commands  BEFORE  \usepackage{mor}       %
%                                                             %
%  eliminated ptmr and phvr by using cmr10 and cmss10 (11/2006)%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\usepackage{theorem,amssymb,graphicx}
\usepackage[colorlinks=false,urlcolor=blue,citecolor=blue,linkcolor=blue,bookmarks=true,
     bookmarksopen=false,pdftitle=created by dvipdf,pdfcreator=NM,
     pdfauthor=Megiddo,pdfsubject=mor.sty:6.29.04]{hyperref}


\long\def\omitthis#1{}

%  page

\evensidemargin 0in
\oddsidemargin  0in
\setlength\headsep{20pt}
\setlength{\headheight}{30pt}
\setlength{\footskip}{30pt}
\setlength{\textwidth}{6.3 truein}
\setlength{\textheight}{9.5 truein}
\setlength{\topmargin}{-1  truein}
\setlength{\oddsidemargin}{0in}
\setlength{\evensidemargin}{0in}
\flushbottom \sloppy

\newcommand{\chapter}
{\newpage\setcounter{section}{0}
\setcounter{subsection}{0}\setcounter{subsubsection}{0}}
\def\addcontentsline#1#2#3{}

  \gdef\@thevolume{}
  \gdef\@theissue{}
  \gdef\@thepages{}

%  editor's inserts

\newcounter{accepted}
\setcounter{accepted}{0}
\newcommand{\isaccepted}{\setcounter{accepted}{1}}
\newcommand{\received} [1]{\def\@datereceived{#1}}
\newcommand{\revised}  [1]{\def\@datesrevised{#1}}
\newcommand{\pubyear}  [1]{\def\@theyear{#1}}
\newcommand{\pubmonth} [1]{\def\@themonth{#1}}
\newcommand{\volume}   [1]{\def\@thevolume{#1}}
\newcommand{\issue}    [1]{\def\@theissue{#1}}
\newcommand{\pages}    [1]{\def\@thepages{#1}}
\newcommand{\firstpage}[1]{\def\@thefirstpage{#1}}
\newcommand{\DOI}      [1]{\def\@theDOI{#1}}

\newcommand{\evenhead} [1]{\def\@evenhead{#1}}
\newcommand{\oddhead}  [1]{\def\@oddhead{#1}}
\newcommand{\updatemarkboth}{\markboth
   { \hfill
   \mbox{${ \hfill \mbox{\scriptsize{\bf\@shortauthors:} {\it\@shorttitle}} \atop
             \mbox{\hfill~~~~~~~~~~~~~~~\scriptsize \rm Mathematics of Operations Research \@thevolume(\@theissue), pp.\ \@thepages, \copyright20\@theyear\ INFORMS}}$}}
   {\mbox{${\mbox{\scriptsize{\bf\@shortauthors:} {\it\@shorttitle}} \hfill \atop
           \mbox{\scriptsize \rm Mathematics of Operations Research \@thevolume(\@theissue), pp.\ \@thepages, \copyright20\@theyear\ INFORMS}~~~~~~~~~~~~~~~~~~~~~\hfill}$}
    \hfill }
    \evenhead{\parbox{\textwidth}{\thepage\hfil\slshape\leftmark\hrule} }%
    \oddhead {\parbox{\textwidth}{{\slshape\rightmark}\hfil\thepage\hrule}}%
    }

\newcommand{\runninghead}[1]{\def\@runninghead{#1}}

\pagestyle{myheadings}

  \global\let\@runninghead\@empty
  \global\let\runninghead\relax


%  title

\font\titler cmr10 at 15 pt
\font\titlei cmti10 at 15 pt

\def\maketitle{
\updatemarkboth
\setcounter{page}{\c@thestartpagenumber}
\thispagestyle{plain}
\ifnum \c@copyeditor=1 \large\fi
\par
\begingroup
\ifnum \c@accepted=1
\parindent=0pt
\parbox[t]{3in}{\ \\ %
\font\helvfont cmss10 at 8pt
{\helvfont MATHEMATICS OF OPERATIONS RESEARCH}\\
\scriptsize
Vol.\ \@thevolume, No.\ \@theissue, \@themonth\ 20\@theyear, pp.\ \@thepages\\
\baselineskip 10pt
{\tiny ISSN} 0364-765X $|$ {\tiny EISSN}
 1526-5471 $|$\@theyear$|$\@thevolume 0\@theissue$|$\@thefirstpage
}
\hfill
\parbox[t]{2in}{%
\baselineskip=-6pt\ \\ %
$~~~~~~~~~~~~$\hfill\includegraphics{INFORMS.eps}\\
$~~~~~~~$\hfill{\tiny DOI }\small\@theDOI \\
$~~~~~~~~~$\hfill {\scriptsize\copyright20\@theyear\ INFORMS}}
\par \vskip 40pt
\fi
\@maketitle \@thanks%
\endgroup
\let\maketitle\relax \let\@maketitle\relax

\gdef\@thanks{}\gdef\@author{}\gdef\@title{}\gdef\@shorttitle{}\gdef\@shortauthors{}
\let\thanks\relax
}

%  authors

\author{%
\ifx\@URLi\@empty
   \ifx\@emaili\@empty
   \@authori\\
   \else
      \href{mailto:\@emaili}{\@authori}\\
   \fi
\else
    \href{\@URLi}{\@authori} \\
\fi
{\small \@addressi \\
\ifx\@emaili\@empty\else
email: \href{mailto:\@emaili}{\@emaili}\fi
\ifx\@URLi\@empty\else
\ifx\@emaili\@empty\else\quad\fi\url{\@URLi}\fi}
%
\ifnum \c@numAuthors>1  \and
\ifx\@URLii\@empty
   \ifx\@emailii\@empty
   \@authorii\\
   \else
      \href{mailto:\@emailii}{\@authorii}\\
   \fi
\else
    \href{\@URLii}{\@authorii} \\
\fi
{\small \@addressii \\
\ifx\@emailii\@empty\else
email: \href{mailto:\@emailii}{\@emailii}\fi
\ifx\@URLii\@empty\else
\ifx\@emailii\@empty\else\quad\fi\url{\@URLii}\fi}
%
\ifnum \c@numAuthors>2  \and
\ifx\@URLiii\@empty
   \ifx\@emailiii\@empty
   \@authoriii\\
   \else
      \href{mailto:\@emailiii}{\@authoriii}\\
   \fi
\else
    \href{\@URLiii}{\@authoriii} \\
\fi
{\small \@addressiii \\
\ifx\@emailiii\@empty \else
email: \href{mailto:\@emailiii}{\@emailiii}\fi
\ifx\@URLiii\@empty\else
\ifx\@emailiii\@empty\else\quad\fi\url{\@URLiii}\fi}
%
\ifnum \c@numAuthors>3  \and
\ifx\@URLiv\@empty
   \ifx\@emailiv\@empty
   \@authoriv\\
   \else
      \href{mailto:\@emailiv}{\@authoriv}\\
   \fi
\else
    \href{\@URLiv}{\@authoriv} \\
\fi
{\small \@addressiv\\
\ifx\@emailiv\@empty\else
email: \href{mailto:\@emailiv}{\@emailiv}\fi
\ifx\@URLiv\@empty\else
\ifx\@emailiv\@empty\else\quad\fi\url{\@URLiv}\fi}
%
\ifnum \c@numAuthors>4  \and
\ifx\@URLv\@empty
   \ifx\@emailv\@empty
   \@authorv\\
   \else
      \href{mailto:\@emailv}{\@authorv}\\
   \fi
\else
    \href{\@URLv}{\@authorv} \\
\fi
{\small \@addressv\\
\ifx\@emailv\@empty\else
email: \href{mailto:\@emailv}{\@emailv}\fi
\ifx\@URLv\@empty\else
\ifx\@emailv\@empty\else\quad\fi\url{\@URLv}\fi}
\fi\fi\fi\fi}

\def\@maketitle{
\vbox{\hsize\textwidth\linewidth\hsize
\centering
{\def\it{\titlei}%
\titler\@title}\par
\large\baselineskip=12pt%
\rule{\z@}{24pt}%
\def\and{\vskip 2mm \par}%
\def\And{\vskip 2mm \par}%
\def\AND{\vskip 2mm \par}%
\@author%
\vskip 0.1in}
}


%  author's inserts
\gdef\@emaili{}\gdef\@emailii{}\gdef\@emailiii{}\gdef\@emailiv{}\gdef\@emailv{}
\gdef\@URLi{}\gdef\@URLii{}\gdef\@URLiii{}\gdef\@URLiv{}\gdef\@URLv{}



\newcounter{numAuthors}

\newcommand{\ShortTitle}   [1] {\def\@shorttitle{#1}}
\newcommand{\ShortAuthors} [1] {\def\@shortauthors{#1}}
\newcommand{\NumberOfAuthors}[1]{\setcounter{numAuthors}{#1}}

\newcommand{\FirstAuthor}  [1]{\def\@authori{#1}}
\newcommand{\SecondAuthor} [1]{\def\@authorii{#1}}
\newcommand{\ThirdAuthor}  [1]{\def\@authoriii{#1}}
\newcommand{\FourthAuthor} [1]{\def\@authoriv{#1}}
\newcommand{\FifthAuthor}  [1]{\def\@authorv{#1}}

\newcommand{\FirstAuthorAddress}  [1]{\def\@addressi{#1}}
\newcommand{\SecondAuthorAddress} [1]{\def\@addressii{#1}}
\newcommand{\ThirdAuthorAddress}  [1]{\def\@addressiii{#1}}
\newcommand{\FourthAuthorAddress} [1]{\def\@addressiv{#1}}
\newcommand{\FifthAuthorAddress}  [1]{\def\@addressv{#1}}

\newcommand{\FirstAuthorURL}  [1]{\def\@URLi{#1}}
\newcommand{\SecondAuthorURL} [1]{\def\@URLii{#1}}
\newcommand{\ThirdAuthorURL}  [1]{\def\@URLiii{#1}}
\newcommand{\FourthAuthorURL} [1]{\def\@URLiv{#1}}
\newcommand{\FifthAuthorURL}  [1]{\def\@URLv{#1}}

\newcommand{\FirstAuthorEmail}   [1]{\def\@emaili{#1}}
\newcommand{\SecondAuthorEmail}  [1]{\def\@emailii{#1}}
\newcommand{\ThirdAuthorEmail}   [1]{\def\@emailiii{#1}}
\newcommand{\FourthAuthorEmail}  [1]{\def\@emailiv{#1}}
\newcommand{\FifthAuthorEmail}   [1]{\def\@emailv{#1}}

\newcommand{\keywords} [1]{\def\@thekeywords{#1}}
\newcommand{\MSCcodes} [1]{\def\@theMSCcodes{#1}}
\newcommand{\ORMScodes}[1]{\def\@theORMScodes{#1}}



\renewenvironment{abstract}{\small\parindent 0pt}
{\par \vskip 5pt
\parskip=2pt \hangindent=15pt
  {\it Key words}: \@thekeywords
  \par\vskip 3pt \hangindent=30pt
  {\it MSC2000 Subject Classification}: \@theMSCcodes
  \par \vskip 3pt \hangindent=30pt
  {\it OR/MS subject classification}: \@theORMScodes
   \par \vskip 3pt \hangindent=30pt
\ifnum \c@accepted=1%
{\it History}: Received: \@datereceived; Revised: \@datesrevised.\par\fi
 \vskip 0.75 ex
 \hrule height 1pt
 \vskip 1 ex
 }



\renewcommand\thesection {\@arabic\c@section}
\renewcommand\thesubsection   {\thesection.\@arabic\c@subsection}
\renewcommand\thesubsubsection{\thesubsection.\@arabic\c@subsubsection}
\renewcommand\theparagraph    {\thesubsubsection.\@arabic\c@paragraph}
\renewcommand\thesubparagraph {\theparagraph.\@arabic\c@subparagraph}
\newcounter{nowappendix}
\setcounter{nowappendix}{0}
\newcounter{copyeditor}
\setcounter{copyeditor}{0}
\newcommand{\forcopyeditor}{\linespread{2.0} \setcounter{copyeditor}{1} }
\newcounter{thestartpagenumber}
\newcommand{\startpagenumber}[1]{\setcounter{thestartpagenumber}{#1}}

\newcommand{\qed}{\hskip 10pt $\Box$}

\newenvironment{proof}{\par {\sc Proof.\hskip 5pt}}{\hfill \qed \par}
\newenvironment{proofof}[1]{\par {\sc Proof of #1.} \hskip 5pt}{\hfill\qed\par}


\renewcommand\section{\@startsection{section}{1}{\z@}
                     {1.5ex plus 0.05ex minus 0.2ex}{-1em}
                     {\ifnum\c@copyeditor=0\normalsize\else\large\fi\bf\boldmath}}

\renewcommand\subsection{\@startsection{subsection}{2}{\z@}
                     {1.5ex plus 0.5ex minus .2ex}{-1em}
                     {\ifnum\c@copyeditor=0\normalsize\else\large\fi\bf\boldmath}}

\renewcommand\subsubsection{\@startsection{subsubsection}{3}{\z@}
                     {1.5ex plus 0.5ex minus .2ex}{-1em}
                     {\ifnum\c@copyeditor=0\normalsize\else\large\fi\bf\boldmath}}

\renewcommand\paragraph{\@startsection{paragraph}{4}{\z@}
                     {1.5ex plus 0.5ex minus .2ex}{-1em}
                     {\ifnum\c@copyeditor=0\normalsize\else\large\fi\bf\boldmath}}

\renewcommand\subparagraph{\@startsection{subparagraph}{5}{\z@}
                     {1.5ex plus 0.5ex minus .2ex}{-1em}
                     {\ifnum\c@copyeditor=0\normalsize\else\large\fi\bf\boldmath}}



\def\@startsection#1#2#3#4#5#6{\if@noskipsec \leavevmode \fi
   \par \@tempskipa #4\relax
   \@afterindenttrue
   \ifdim \@tempskipa <\z@ \@tempskipa -\@tempskipa \@afterindentfalse\fi
   \if@nobreak \everypar{}\else
     \addpenalty{\@secpenalty}\addvspace{\@tempskipa}\fi \@ifstar
     {\@ssect{#2}{#3}{#4}{#5}{#6}}{\@dblarg{\@sect{#1}{#2}{#3}{#4}{#5}{#6}}}}
     \def\@startsection#1#2#3#4#5#6{\if@noskipsec \leavevmode \fi
   \par \@tempskipa #4\relax
   \@afterindenttrue
   \ifdim \@tempskipa <\z@ \@tempskipa -\@tempskipa \@afterindentfalse\fi
   \if@nobreak \everypar{}\else
     \addpenalty{\@secpenalty}\addvspace{\@tempskipa}\fi \@ifstar
     {\@ssect{#2}{#3}{#4}{#5}{#6}}{\@dblarg{\@sect{#1}{#2}{#3}{#4}{#5}{#6}}}}

\def\@sect#1#2#3#4#5#6[#7]#8{\ifnum #2>\c@secnumdepth
     \def\@svsec{}\else
     \refstepcounter{#1}\edef\@svsec{\indent\ifnum \c@nowappendix=1 \ifnum#2=1{Appendix~}\fi\fi
     \csname the#1\endcsname \ifnum#2=1.\fi \hskip 5pt }\fi
     \@tempskipa #5\relax
      \ifdim \@tempskipa>\z@
        \begingroup #6\relax
          \@hangfrom{\hskip #3\relax\@svsec}{\interlinepenalty \@M {#8}\par}%
        \endgroup
       \csname #1mark\endcsname{#7}\addcontentsline
         {toc}{#1}{\ifnum #2>\c@secnumdepth \else
                      \protect\numberline{\csname the#1\endcsname}\fi
                    #7}\else
        \def\@svsechd{#6\hskip #3\relax  %%
                   \@svsec {#8}\csname #1mark\endcsname
                      {#7}\addcontentsline
                           {toc}{#1}{\ifnum #2>\c@secnumdepth \else
                             \protect\numberline{\csname the#1\endcsname}\fi
                       #7}}\fi
     \@xsect{#5}}
\def\@ssect#1#2#3#4#5#6{\@tempskipa #4\relax
   \ifdim \@tempskipa>\z@
     \begingroup #5\@hangfrom{\hskip #2}{\interlinepenalty \@M \indent#6\par}\endgroup
   \else \def\@svsechd{#5\hskip #2\relax \indent#6}\fi
    \@xsect{#4}}

\renewcommand{\appendix}{\par
  \setcounter{section}{0}%
  \setcounter{subsection}{0}%
  \gdef\thesection{\@Alph\c@section}
  \setcounter{nowappendix}{1} }

% Footnotes

\renewcommand{\thanks}{\par \vskip 12pt
{\LARGE \bf Please do not use the \verb+\thanks+ command. Use the Acknowledgements section.}
\vskip 20pt\par}

% Lists and paragraphs

\linespread{1.1}
\renewcommand{\theenumi}{{\rm(}\roman{enumi}{\/\rm)}}
\def\labelenumi{\theenumi}

\parindent 12pt
\topsep 2pt plus 1pt minus 2pt
\partopsep 1pt plus 0.5pt minus 0.5pt
\itemsep 1pt plus 1pt minus 0.5pt
\parsep 2pt plus 1pt minus 0.5pt
\parskip .5pc


%\leftmargin2em
\leftmargin3pc
\leftmargini\leftmargin \leftmarginii 2em
\leftmarginiii 1.5em \leftmarginiv 1.0em \leftmarginv .5em

%\labelsep \labelsep 5pt

\def\@listi{\leftmargin\leftmargini}
\def\@listii{\leftmargin\leftmarginii
   \labelwidth\leftmarginii\advance\labelwidth-\labelsep
   \topsep 2pt plus 1pt minus 0.5pt
   \parsep 1pt plus 0.5pt minus 0.5pt
   \itemsep \parsep}
\def\@listiii{\leftmargin\leftmarginiii
    \labelwidth\leftmarginiii\advance\labelwidth-\labelsep
    \topsep 1pt plus 0.5pt minus 0.5pt
    \parsep \z@ \partopsep 0.5pt plus 0pt minus 0.5pt
    \itemsep \topsep}
\def\@listiv{\leftmargin\leftmarginiv
     \labelwidth\leftmarginiv\advance\labelwidth-\labelsep}
\def\@listv{\leftmargin\leftmarginv
     \labelwidth\leftmarginv\advance\labelwidth-\labelsep}
\def\@listvi{\leftmargin\leftmarginvi
     \labelwidth\leftmarginvi\advance\labelwidth-\labelsep}

\abovedisplayskip 7pt plus2pt minus5pt%
\belowdisplayskip \abovedisplayskip
\abovedisplayshortskip  0pt plus3pt%
\belowdisplayshortskip  4pt plus3pt minus3pt%


%  sizes

\def\normalsize{\@setsize\normalsize{11pt}\xpt\@xpt}
\def\small{\@setsize\small{9pt}\ixpt\@ixpt}
\def\scriptsize{\@setsize\scriptsize{8pt}\viipt\@viipt}
\def\tiny{\@setsize\tiny{8pt}\vipt\@vipt}
\def\large{\@setsize\large{13pt}\xiipt\@xiipt}
\def\Large{\@setsize\Large{18pt}\xivpt\@xivpt}
\def\LARGE{\@setsize\LARGE{20pt}\xxpt\@xxpt}
\def\huge{\@setsize\huge{23pt}\xxpt\@xxpt}
\def\Huge{\@setsize\Huge{28pt}\xxvpt\@xxvpt}




%  theorems

\newtheorem{theorem}{\sc Theorem}[section]

\newtheorem{assumption}{\sc Assumption}[section]
\newtheorem{corollary}{\sc Corollary}[section]
\newtheorem{definition}{\sc Definition}[section]
\newtheorem{example}{\sc Example}[section]
\newtheorem{lemma}{\sc Lemma}[section]
\newtheorem{proposition}{\sc Proposition}[section]
\newtheorem{remark}{\sc Remark}[section]

\def\mAth{\mathsurround=0pt}
\def\eqalign#1{\,\vcenter{\openup1\jot \mAth
  \ialign{\strut\hfil$\displaystyle{##}$&$\displaystyle{{}##}$\hfil
    \crcr#1\crcr}}\,}

%  acknowledgements
\newcommand{\acknowledgment}[1]{\section*{Acknowledgment.} #1}
\newcommand{\acknowledgments}[1]{\section*{Acknowledgments.} #1}

%  bibliography
\newcommand{\bysame}{\underline{$\;\;\;\;\;\;\;\;\;\;\;\;$}}



\renewcommand\sectionautorefname{Section}
\renewcommand\subsectionautorefname{Section}
\renewcommand\subsubsectionautorefname{Section}
\newcommand\lemmaautorefname{Lemma}
\newcommand\propositionautorefname{Proposition}
\newcommand\corollaryautorefname{Corollary}