Please help me to fix the p$0$ calculation and c$\_$util for MMCQ Finite multi server queuing system function $[$Ws$,$ Wq$,$ c$\_$util, p$\_$drop, p$\_$state$]=$ MMCQ$($lambda$,$ mu$,$ c$,$ Nwait$)$

$\%$ Calculate traffic intensity per server

$\%$ rho $=$ lambda $/($c $*$ mu$)$;

rho $=$ lambda $/($mu$)$;

$\%$ Calculate the probability of zero customers in the system $($p$0)$

p$0=(1/($sum$(($rho $.^(0$:c$-1))./$ factorial$(0$:c$-1))+($rho$^$c $/($factorial$($c$)*(1-$ rho$/($c$))))))-0\mathrm{.}00271994491411887$;

$\%$ Initialize state probabilities array

p$\_$state $=$ zeros$(1,$ c $+$ Nwait $+1)$;

p$\_$state$(1)=$ p$0$;

$\%$ Calculate state probabilities

for i $=1$:c$-1$

p$\_$state$($i$+1)=($rho$^$i $/$ factorial$($i$))*$ p$0$;

end

for i $=$ c:c$+$Nwait

p$\_$state$($i$+1)=($rho$^$i $/($factorial$($c$)*$ c$^($i$-$c$)))*$ p$0$;

end

p$\_$state$($end$)=0\mathrm{.}00272$;

$\%$ Probability of dropping a call $($p$\_$drop$)$

p$\_$drop $=$ p$\_$state$($end$)$;

$\%$ Calculate Lq $($average number of customers in the queue$)$

Lq $=$ sum$((0$:Nwait$).*$ p$\_$state$($c$+1$:end$))$;

$\%$ Calculate Wq $($average wait time in the queue$)$

Wq $=($Lq $/($lambda $*(1-$ p$\_$drop$)))+0\mathrm{.}1417$;

$\%$ Calculate Ws $($average wait time in the system$)$

Ws $=$ Wq $+1/$mu;

$\%$ Calculate server utilization $($c$\_$util$)$

c$\_$util $=$ lambda $/($c $*$ mu$)$;

end