This is TeX, Version 3.14159 (Web2C 7.4.5) (format=latex 2006.1.19) 3 SEP 2008 15:30 **hashemian-vizvari.tex (./hashemian-vizvari.tex LaTeX2e <2001/06/01> Babel and hyphenation patterns for american, french, german, ngerman, n ohyphenation, loaded. (/usr/share/texmf/tex/latex/base/latex209.def File: latex209.def 1998/05/13 v0.52 Standard LaTeX file Entering LaTeX 2.09 COMPATIBILITY MODE ************************************************************* !!WARNING!! !!WARNING!! !!WARNING!! !!WARNING!! This mode attempts to provide an emulation of the LaTeX 2.09 author environment so that OLD documents can be successfully processed. It should NOT be used for NEW documents! New documents should use Standard LaTeX conventions and start with the \documentclass command. Compatibility mode is UNLIKELY TO WORK with LaTeX 2.09 style files that change any internal macros, especially not with those that change the FONT SELECTION or OUTPUT ROUTINES. 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LaTeX Info: Redefining \mit on input line 502. \bibindent=\dimen105 ) ! LaTeX Error: File `rutcor.sty' not found. Type X to quit or to proceed, or enter new name. (Default extension: sty) Enter file name: \c@thm=\count91 \c@df=\count92 \c@col=\count93 \c@prop=\count94 \c@lem=\count95 \c@conj=\count96 ! Undefined control sequence. l.104 \authornames { ? ! LaTeX Error: Missing \begin{document}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.105 N avid Hashemian\and B\'{e}la Vizv\'{a}ri } ? ! Misplaced \crcr. \endtabular ->\crcr \egroup \egroup $\egroup l.105 Navid Hashemian\and B\'{e}la Vizv\'{a}ri } ? ! Too many }'s. \endtabular ->\crcr \egroup \egroup $\egroup l.105 Navid Hashemian\and B\'{e}la Vizv\'{a}ri } ? LaTeX Font Info: External font `cmex10' loaded for size (Font) <7> on input line 105. LaTeX Font Info: External font `cmex10' loaded for size (Font) <5> on input line 105. ! Extra }, or forgotten $. \egroup l.105 Navid Hashemian\and B\'{e}la Vizv\'{a}ri } ? ! LaTeX Error: \begin{document} ended by \end{tabular}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.105 Navid Hashemian\and B\'{e}la Vizv\'{a}ri } ? ! Missing $ inserted. $ l.105 Navid Hashemian\and B\'{e}la Vizv\'{a}ri } ? ! Extra \endgroup. \endgroup l.105 Navid Hashemian\and B\'{e}la Vizv\'{a}ri } ? ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.106 \abstract {$\;\;$ A new method is developed to schedule both the produc... ? ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.106 \abstract {$\;\;$ A new method is developed to schedule both the produc... ? ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.106 \abstract {$\;\;$ A new method is developed to schedule both the produc... ? ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.106 \abstract {$\;\;$ A new method is developed to schedule both the produc... ? ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.106 \abstract {$\;\;$ A new method is developed to schedule both the produc... ? ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.106 \abstract {$\;\;$ A new method is developed to schedule both the produc... ? ! Missing } inserted. } l.106 \abstract {$\;\;$ A new method is developed to schedule both the produc... ? ! Missing \cr inserted. \cr l.106 \abstract {$\;\;$ A new method is developed to schedule both the produc... ? ! Missing { inserted. { l.106 \abstract {$\;\;$ A new method is developed to schedule both the produc... ? ! LaTeX Error: Lonely \item--perhaps a missing list environment. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.106 \abstract {$\;\;$ A new method is developed to schedule both the produc... ? ! Undefined control sequence. l.113 \rrr {17-93} ? No file hashemian-vizvari.aux. \openout1 = `hashemian-vizvari.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 115. LaTeX Font Info: ... okay on input line 115. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 115. LaTeX Font Info: ... okay on input line 115. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 115. LaTeX Font Info: ... okay on input line 115. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 115. LaTeX Font Info: ... okay on input line 115. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 115. LaTeX Font Info: ... okay on input line 115. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 115. LaTeX Font Info: ... okay on input line 115. LaTeX Font Info: External font `cmex10' loaded for size (Font) <12> on input line 118. LaTeX Font Info: External font `cmex10' loaded for size (Font) <8> on input line 118. LaTeX Font Info: External font `cmex10' loaded for size (Font) <6> on input line 118. ! Undefined control sequence. \@author -> Navid Hashemian\affiliation {Dept. of Industrial Engineering, Ea... l.118 \maketitle ? ! Undefined control sequence. \@author ...\and B\'{e}la Vizv\'{a}ri\affiliation {RUTCOR, Dept. of Industri... l.118 \maketitle ? 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Misplaced \cr. \reserved@c ->\ifnum 0=`{\fi }\cr l.252 ...des transportation feasibility:\\ \hspace *{10mm} ? ! Misplaced \cr. \reserved@c ->\ifnum 0=`{\fi }\cr l.254 \\ \hspace *{10mm} ? ! Misplaced \cr. \reserved@c ->\ifnum 0=`{\fi }\cr l.256 T hese conditions can be described by the following system of inequalit... ? LaTeX Warning: Reference `e07' on page 1 undefined on input line 267. LaTeX Warning: Reference `e09' on page 1 undefined on input line 267. Overfull \hbox (6.52676pt too wide) in alignment at lines 287--290 [][][] [] [] LaTeX Warning: Reference `e10' on page 1 undefined on input line 300. LaTeX Warning: Reference `e11' on page 1 undefined on input line 300. LaTeX Warning: Reference `e12' on page 1 undefined on input line 301. LaTeX Warning: Reference `e15' on page 1 undefined on input line 301. LaTeX Warning: Reference `e12' on page 1 undefined on input line 305. LaTeX Warning: Reference `e15' on page 1 undefined on input line 305. 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Type H for immediate help. ... l.729 \end{document} ? (./hashemian-vizvari.aux) LaTeX Warning: There were undefined references. LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. ! You can't use `\end' in internal vertical mode. \enddocument ... \endgroup \deadcycles \z@ \@@end l.729 \end{document} ? ! LaTeX Error: \begin{tabular} on input line 105 ended by \end{document}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.729 \end{document} ? ! Missing } inserted. } l.729 \end{document} ? ! Missing $ inserted. $ l.729 \end{document} ? ! Missing } inserted. } l.729 \end{document} ? ) * Overfull \hbox (221.41096pt too wide) in paragraph at lines 105--0 []\OT1/cmr/m/n/10 Navid Hashemian$$ [] [] (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') *\end * Runaway argument? ! Paragraph ended before \end was complete. \par <*> ? (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') *end Underfull \vbox (badness 10000) has occurred while \output is active [] [1 ] Overfull \vbox (7700.33192pt too high) has occurred while \output is active [] [2 \@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{2}} \@writefile{toc}{\contentsline {section}{\numberline {2}Notations}{2}} \@writefile{toc}{\contentsline {section}{\numberline {3}Preliminary Discussion of Tools of the Algorithm}{2}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Earliest Transport ation Times and Transportation Due-Dates}{2}} \newlabel{e01}{{1}{2}} \newlabel{e02}{{2}{2}} \newlabel{e03}{{2}{2}} \newlabel{e04}{{3}{2}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Lower and Upper Bo unds of Load of Machines}{2}} \newlabel{e05}{{4}{2}} \newlabel{e06}{{5}{2}} \@writefile{toc}{\contentsline {subsection}{\numberline {3.3}Lexicographic Orde r of the Loads of a Machine}{2}} \newlabel{e07}{{6}{2}} \newlabel{e08}{{7}{2}} \newlabel{e09}{{8}{2}} \newlabel{e10}{{9}{2}} \newlabel{e11}{{10}{2}} \newlabel{e12}{{11}{2}} \newlabel{e13}{{12}{2}} \newlabel{e14}{{13}{2}} \newlabel{e15}{{14}{2}} \newlabel{e16}{{15}{2}} \@writefile{toc}{\contentsline {section}{\numberline {4}The Main Algorithm}{2}} \@writefile{toc}{\contentsline {section}{\numberline {5}A New Integer Programmi ng Model}{2}} \newlabel{e17}{{16}{2}} \newlabel{e18}{{17}{2}} \newlabel{e19}{{18}{2}} \newlabel{e20}{{19}{2}} \newlabel{e21}{{20}{2}} \newlabel{e22}{{21}{2}} \newlabel{e23}{{22}{2}} \newlabel{e24}{{23}{2}} \newlabel{e25}{{24}{2}} \newlabel{e26}{{25}{2}} \newlabel{e27}{{26}{2}} \@writefile{toc}{\contentsline {section}{\numberline {6}Computational experienc es}{2}} \newlabel{e28}{{27}{2}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.1}Graham's example}{ 2}} \newlabel{e29}{{28}{2}} \newlabel{e30}{{29}{2}} \newlabel{e31}{{30}{2}} \newlabel{e32}{{30}{2}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.2}Random problems wi th $U(1,99)$ processing times}{2}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.3}Random problems wi th $U(5,15)$ processing times}{2}} \@writefile{toc}{\contentsline {subsection}{\numberline {6.4}Computational Expe riences with Integer Programming Model}{2}} \@writefile{toc}{\contentsline {section}{\numberline {7}Conclusions}{2}} ] * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') *\end *'^^H\end' ! 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(Please type a command or say `\end') * (Please type a command or say `\end') * (Please type a command or say `\end') * ! Emergency stop. <*> End of file on the terminal! Here is how much of TeX's memory you used: 652 strings out of 95847 6370 string characters out of 1194789 118806 words of memory out of 1000001 3605 multiletter control sequences out of 10000+50000 26011 words of font info for 96 fonts, out of 500000 for 1000 14 hyphenation exceptions out of 1000 25i,16n,22p,280b,470s stack positions out of 1500i,500n,5000p,200000b,5000s Output written on hashemian-vizvari.dvi (2 pages, 47824 bytes).