OUTRANKING METHODS $-$ ELECTRE I

You are a new Ph$.$D$.$ in Industrial Engineering and have job offers from five different universities. You are now faced with the problem of choosing a school. Some of the important information about each job offer is listed in the table below:

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline Criteria & school $1$ & school $2$ & school $3$ & school $4$ & school $5\backslash \backslash$

$\backslash$hline $9-$month salary & $\backslash (\backslash$$ $43,000\backslash )$ & $\backslash (\backslash$$ $41,500\backslash )$ & $\backslash (\backslash$$ $44,500\backslash )$ & $\backslash (\backslash$$ $47,000\backslash )$ & $\backslash (\backslash$$ $40,000\backslash )\backslash \backslash$

$\backslash$hline $\backslash$begin$\{$tabular$\}\{$c$\}$

Ave. teaching load $\backslash \backslash$

$($hr$/$semester$)$

$\backslash$end$\{$tabular$\}$ & $9$ & $7\mathrm{.}5$ & $10\mathrm{.}5$ & $12$ & $6\backslash \backslash$

$\backslash$hline Geographic location$*$ & $2$ & $3$ & $5$ & $2$ & $4\backslash \backslash$

$\backslash$hline Expected summer salary & $\backslash (\backslash$$ $9,500\backslash )$ & $\backslash (\backslash$$ $9,000\backslash )$ & $\backslash (\backslash$$ $6,000\backslash )$ & $\backslash (\backslash$$ $11,000\backslash )$ & $\backslash (\backslash$$ $12,000\backslash )\backslash \backslash$

$\backslash$hline Research support$*$ & $4$ & $4$ & $3$ & $1$ & $5\backslash \backslash$

$\backslash$hline $\backslash$begin$\{$tabular$\}\{$c$\}$

Number of different course $\backslash \backslash$

preps$/$year

$\backslash$end$\{$tabular$\}$ & $3$ & $2$ & $4$ & $5$ & $1\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

$*$scaled$--$where larger numbers represent more desirable outcomes.

You may add detail to the problem description to make it as realistic as possible for making your evaluations $($e$.$g$.,$ specify schools and geographic location, etc.$).$

Use ELECTRE I method to determine the most preferred school. Please show all your tables and sample calculations.

For uniformity, please use the following weights for the criteria:

$\backslash$begin$\{$tabular$\}\{|$l$|$c$|\}$

$\backslash$hline $\backslash$multicolumn$\{1\}\{|$c$|\}\{$ Criteria $\}$ & Weight $\backslash \backslash$

$\backslash$hline $9-$month Salary & $0\mathrm{.}25\backslash \backslash$

$\backslash$hline Average Teaching Load & $\mathrm{.}15\backslash \backslash$

$\backslash$hline Geographic Location & $\mathrm{.}1\backslash \backslash$

$\backslash$hline Expected Summer Salary & $\mathrm{.}2\backslash \backslash$

$\backslash$hline Research Support & $\mathrm{.}2\backslash \backslash$

$\backslash$hline Number of Different Course Preps & $\mathrm{.}1\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$