# LaTeX2HTML 95 (Thu Jan 19 1995)
# Associate image original text (scrambled) with physical files.
$key = q/{displaymath}Prob{Txleqxi}leqgamma{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}Q(x)=E_xiv(Tx-xi);;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;(2){displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$E_xi${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath};;;xinZ_+^n{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$Wyleqs${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$rightarrow${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}Min;h(x);;;subject;to{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{table*}centerhspace*-1cmtabular[t]|c|c|c|c|c|c|c|c|c|hlineraisebox-1.5ex[0cm][0cm]Problem;SPM_amp;raisebox-1.5ex[0cm][0cm]Entries;SPM_amp;multicolumn2c|MGBAS;SPM_amp;multicolumn2c|GBAS;SPM_amp;multicolumn2c|TGBAS;SPM_amp;multicolumn1|c|GRINcline3-9;SPM_amp;;SPM_amp;Size;SPM_amp;Time;SPM_amp;Size;SPM_amp;Time;SPM_amp;Size;SPM_amp;Time;SPM_amp;Sizehlinehlinemat3x7.1;SPM_amp;0-20;SPM_amp;17;SPM_amp;0.46;SPM_amp;568;SPM_amp;1462.96;SPM_amp;272;SPM_amp;55.96;SPM_amp;31hlinemat4x8.1;SPM_amp;0-20;SPM_amp;157;SPM_amp;25.91;SPM_amp;5245;SPM_amp;13509.32;SPM_amp;2352;SPM_amp;447.68;SPM_amp;294hlinemat4x8.2;SPM_amp;0-20;SPM_amp;112;SPM_amp;17.82;SPM_amp;3742;SPM_amp;9638.23;SPM_amp;1640;SPM_amp;335.76;SPM_amp;205hlinemat4x8.3;SPM_amp;0-20;SPM_amp;251;SPM_amp;54.84;SPM_amp;8386;SPM_amp;21599.41;SPM_amp;3848;SPM_amp;783.44;SPM_amp;481hlinemat5x10.1;SPM_amp;0-4;SPM_amp;121;SPM_amp;31.53;SPM_amp;4002;SPM_amp;10307.69;SPM_amp;1632;SPM_amp;335.24;SPM_amp;204hlinemat5x10.2;SPM_amp;0-4;SPM_amp;142;SPM_amp;90.56;SPM_amp;4696;SPM_amp;12095.35;SPM_amp;2800;SPM_amp;559.60;SPM_amp;350hlinemat5x10.3;SPM_amp;0-4;SPM_amp;112;SPM_amp;63.69;SPM_amp;3742;SPM_amp;9638.41;SPM_amp;3312;SPM_amp;671.52;SPM_amp;414hlinemat6x12.1;SPM_amp;0-3;SPM_amp;134;SPM_amp;121.73;SPM_amp;4477;SPM_amp;13531.15;SPM_amp;4467;SPM_amp;895.36;SPM_amp;561hlinemat6x12.2;SPM_amp;0-3;SPM_amp;103;SPM_amp;89.87;SPM_amp;3441;SPM_amp;8862.07;SPM_amp;3304;SPM_amp;671.52;SPM_amp;413hlinemat6x12.3;SPM_amp;0-3;SPM_amp;267;SPM_amp;278.32;SPM_amp;8920;SPM_amp;22975.54;SPM_amp;5672;SPM_amp;1119.20;SPM_amp;709hlinemat8x16.1;SPM_amp;0-1;SPM_amp;87;SPM_amp;7.67;SPM_amp;658;SPM_amp;1520.44;SPM_amp;568;SPM_amp;121.84;SPM_amp;126hlinemat8x16.2;SPM_amp;0-1;SPM_amp;101;SPM_amp;12.53;SPM_amp;760;SPM_amp;1857.29;SPM_amp;650;SPM_amp;135.89;SPM_amp;168hlinehlinetabularcenterlabelmgba{table*}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$Q(x)${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$vee${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$wedge${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{tabular}|l|l|hlineLogicalExpression;SPM_amp;Constrainthline_inline$P_1vee...veeP_n$_inline;SPM_amp;_inline$delta_1+...+delta_ngeq1$_inlinehline_inline$P_1wedgeP_2$_inline;SPM_amp;_inline$delta_1=1,delta_2=2$_inlinehline...;SPM_amp;...hline{tabular}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$xi${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$P_1${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}v(s)=min{tildeqy:;;Wyleqs,;yinZ_+^m}.;;;;;;;;;;;;;;;;;;;;;;(3){displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}Ax=b{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$P_0${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$P_1,P_2,...P_N${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}ge(1,{P_1,P_2,...,P_N})longleftrightarrowP_1veeP_2vee...P_N{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}ge(N,{P_1,P_2,...,P_N})longleftrightarrowP_1wedgeP_2wedge...P_N{displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$recourse;costs${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{displaymath}min{cx+Q(x):;;Axleqb,;xinR_+^n};;;;;;;;;;;;;;;;;;;;;;;(1){displaymath}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$P_i${_inline}/;
$cached_env_img{$key} ='
';
$key = q/{_inline}$ips${_inline}/;
$cached_env_img{$key} ='
';
1;