when I run this code: $\%$ Variables and Constants Declaration

int: n$\_$employee; $\%$ Number of technicians

int: n$\_$turbine; $\%$ Number of turbines

int: n$\_$tasks; $\%$ Number of tasks

int: n$\_$period; $\%$ Number of periods per day

int: n$\_$week; $\%$ Number of weeks

int: n$\_$day; $\%$ Number of days per week

int: n$\_$skills; $\%$ Number of skills

array$[1..$n$\_$turbine, $1..$n$\_$period$]$ of float: productivity; $\%$ Productivity of turbine t during period p

array$[1..$n$\_$tasks$]$ of int: on$\_$turbine; $\%$ Turbine assigned to task i

array$[1..$n$\_$tasks$]$ of int: length; $\%$ Duration of task i in periods

array$[1..$n$\_$employee, $1..$n$\_$skills$]$ of int: skills; $\%$ Skill availability matrix $(0$ or $1)$

array$[1..$n$\_$tasks$]$ of int: skill$\_$req; $\%$ Required skill for each task $($single integer$)$

$\%$ Decision Variables

array$[1..$n$\_$tasks$]$ of var $1..$n$\_$period: Start$\_$time; $\%$ Start time of task i

array$[1..$n$\_$tasks$]$ of var $1..$n$\_$period: End$\_$time; $\%$ End time of task i

array$[1..$n$\_$turbine$]$ of var float: Loss$\_$turbine; $\%$ Productivity loss for turbine t

array$[1..$n$\_$tasks, $1..$n$\_$period$]$ of var bool: Task$\_$active; $\%$ Task activity during period p

array$[1..$n$\_$turbine, $1..$n$\_$period$]$ of var bool: Turbine$\_$active; $\%$ Turbine activity during period p

array$[1..$n$\_$employee, $1..$n$\_$tasks$]$ of var bool: Assign; $\%$ Technician assignment to tasks

$\%$ Objective Function: Maximize total productivity accounting for losses

solve maximize sum$($t in $1..$n$\_$turbine, p in $1..$n$\_$period$)($

productivity$[$t$,$ p$]*$ Turbine$\_$active$[$t$,$ p$]$

$)-$ sum$($t in $1..$n$\_$turbine$)($

Loss$\_$turbine$[$t$]$

$)$;

$\%$ Constraints

$\%$ Task activity definition

constraint forall$($i in $1..$n$\_$tasks, p in $1..$n$\_$period$)($

Task$\_$active$[$i$,$ p$]=$ bool$2$int$($Start$\_$time$[$i$]<=$ p $/\backslash$ p $<=$ End$\_$time$[$i$])$

$)$;

$\%$ Turbine activity definition

constraint forall$($t in $1..$n$\_$turbine, p in $1..$n$\_$period$)($

Turbine$\_$active$[$t$,$ p$]=$ bool$2$int$($sum$([$Task$\_$active$[$i$,$ p$]|$ i in $1..$n$\_$tasks where on$\_$turbine$[$i$]=$ t$])>0)$

$)$;

$\%$ No overlapping tasks on the same turbine

constraint forall$($t in $1..$n$\_$turbine, p in $1..$n$\_$period$)($

sum$([$Task$\_$active$[$i$,$ p$]|$ i in $1..$n$\_$tasks where on$\_$turbine$[$i$]=$ t$])<=1$

$)$;

$\%$ Technician constraints

constraint forall$($p in $1..$n$\_$period$)($

sum$([$Assign$[$k$,$ i$]*$ Task$\_$active$[$i$,$ p$]|$ i in $1..$n$\_$tasks, k in $1..$n$\_$employee$])<=$ n$\_$employee

$)$;

$\%$ Skill requirements for technician assignment

constraint forall$($i in $1..$n$\_$tasks, k in $1..$n$\_$employee$)($

Assign$[$k$,$ i$]->($skills$[$k$,$ skill$\_$req$[$i$]]=1)$

$)$;

$\%$ Duration calculation

constraint forall$($i in $1..$n$\_$tasks$)($

length$[$i$]=$ End$\_$time$[$i$]-$ Start$\_$time$[$i$]$

$)$;

$\%$ Productivity loss calculation

constraint forall$($t in $1..$n$\_$turbine$)($

Loss$\_$turbine$[$t$]=$ sum$($p in $1..$n$\_$period$)($

$(1-$ Turbine$\_$active$[$t$,$ p$])*$ productivity$[$t$,$ p$]$

$)$

$)$;

$\%$ Tasks must avoid periods that are multiples of $3$

constraint forall$($i in $1..$n$\_$tasks, p in $1..$n$\_$period$)($

$($p mod $3=0)->($Task$\_$active$[$i$,$ p$]=0)$

$)$;

when I run the above code in minizinc base on the below data value it shown me unsatisfable $,$ please could you support me to align the code with the below data value: n$\_$employee $=6$;

n$\_$turbine $=8$;

n$\_$tasks $=19$;

n$\_$week $=1$;

n$\_$day $=$ n$\_$week$*5$;

n$\_$period $=$ n$\_$day$*3$;

productivity $=$ array$2$d$(1..$n$\_$turbine,$1..$n$\_$period, $[5,7,7,2,3,2,3,2,2,4,8,5,4,7,6,$

$6,5,6,3,3,2,2,4,3,5,7,3,5,6,5,$

$5,5,6,2,4,3,3,3,3,4,8,2,4,7,6,$

$5,6,5,3,3,2,2,2,2,6,6,4,6,8,7,$

$7,7,8,2,2,2,3,3,2,4,8,2,4,7,6,$

$6,5,6,4,3,4,4,2,3,4,6,3,5,6,8,$

$5,5,7,2,2,4,4,3,2,5,7,2,6,6,5,$

$6,7,7,2,3,3,3,2,2,6,8,4,4,7,6])$;

on$\_$turbine $=$ array$1$d$(1..$n$\_$tasks,$[1,1,1,2,2,2,3,3,3,4,4,5,5,6,6,7,7,8,8])$;

length $=$ array$1$d$(1..$n$\_$tasks,$[3,1,4,3,1,4,3,1,2,3,2,3,2,3,2,3,2,3,2])$;

n$\_$skills $=3$;

$\%$skills$[$i$,$j$]$ indique si le technicien i a le skill j

skills $=$ array$2$d$(1..$n$\_$employee,$1..$n$\_$skills,$[1,1,1,$

$1,0,1,$

$1,1,0,$

$0,1,1,$

$0,1,1,$

$1,0,0])$;

$\%$indique quel skill est requis pour quelle t$$che

skill$\_$req $=$ array$1$d$(1..$n$\_$tasks,$[1,1,1,2,1,2,3,1,2,3,2,3,2,3,1,1,2,3,2])$;